Control and Optimization Seminar
Questions or comments?

Posted November 17, 2003

3:00 pm James E. Keisler Lounge (Room 321 Lockett)
Stanislav Zabic, Louisiana State University Department of Mathematics
Graduate Student

Optimizing the Design of the Michelin PAX Tire System

Abstract: This talk analyzes a problem encountered by the Michelin Corporation in the design of a 'run-flat', or PAX, tire system. A PAX tire system consists of an aluminum wheel of larger-than-conventional radius, a low-profile tire, and a special rubber support ring inside and concentric with the tire. The goal of the support ring is to provide a safe driving transition in case of a flat tire. After the air has deflated from the tire, the support ring carries the entire load of the car. We will discuss ways to optimize the design of the support ring. This research was carried out during the summer of 2001, while the speaker was a visitor at North Carolina State University.

Control and Optimization Seminar
Questions or comments?

Posted September 14, 2003

Last modified May 3, 2010

Michael Malisoff, LSU

Lyapunov Functions and Viscosity Solutions, Part 1

Control and Optimization Seminar
Questions or comments?

Posted September 14, 2003

Last modified May 3, 2010

Michael Malisoff, LSU

Lyapunov Functions and Viscosity Solutions, Part 2

Control and Optimization Seminar
Questions or comments?

Posted September 14, 2003

Last modified May 3, 2010

Michael Malisoff, LSU

Lyapunov Functions and Viscosity Solutions, Part 3

Applied Analysis Seminar
Questions or comments?

Posted October 14, 2003

3:30 pm - 4:30 pm Tuesday, September 23, 2003 Lockett 240
Stephen Shipman, Mathematics Department, LSU

Boundary projections and Helmoltz resonances 1

Applied Analysis Seminar
Questions or comments?

Posted October 14, 2003

3:30 pm - 4:30 pm Tuesday, September 30, 2003 Lockett 240
Stephen Shipman, Mathematics Department, LSU

Boundary projections and Helmoltz resonances 2

Applied Analysis Seminar
Questions or comments?

Posted October 23, 2003

3:30 pm Lockett 240
Harris Wong, Department of Mechanical Engineering

A d-function model of facets and its applications

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett 240
Stephanos Venakides, Department of Mathematics, Duke University

The Semiclassical Limit of the Focusing Nonlinear Schroedinger Equation

Control and Optimization Seminar
Questions or comments?

Posted March 25, 2004

Last modified March 26, 2004

Vinicio Rios, LSU Department of Mathematics
Ph.D. Student

A Theorem on Lipschitzian Approximation of Differential Inclusions

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett 240
Robert Lipton, Mathematics Department, LSU

Field Fluctuations, Spectral Measures, and Moment Problems

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

Last modified November 6, 2003

Christo Christov, University of Louisiana at Lafayette

Nonlinear Waves and Quasi-Particles: The Emerging of a New Paradigm

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

Last modified November 6, 2003

Karsten Thompson, Department of Chemical Engineering, Louisiana State University

Modeling Multiple-scale Phenomena in Porous Materials

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett 240
Endel Iarve, Materials Directorate Wright Patterson Air Force Base and the University of Dayton Research Institute, Dayton Ohio

Mesh-independent modeling of cracks by using higher-order shape functions

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm The Deans conference room 3225, CEBA
Endel Iarve, Materials Directorate Wright Patterson Air Force Base and the University of Dayton Research Institute, Dayton Ohio

Effect of splitting on tensile strength distribution of unidirectional carbon fiber composites

Special Civil Engineering and Applied Analysis Seminar

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

2:00 pm Lockett 285
Boris Baeumer, University of Otago, New Zealand

Fractal Transport and Dispersion: Limits of Continuous Time Random Walks

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett 240
Ricardo Estrada, Mathematics Department, LSU

Distributional Solutions of Singular Integral Equations

test

Posted January 28, 2004

until Wednesday, January 29, 2003 Originally scheduled for Thursday, January 30, 2003test

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett 240
Wilfrid Gangbo, Department of Mathematics, Georgia Institute of Technology

Inequalities for generalized entropy and optimal transportation

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett 240
Yitshak Ram, Department of Mechanical Engineering, Louisiana State University

Inverse Problems and Eigenvalue Assignment in Vibration and Control

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

Lockett 240
Yuri Antipov, Mathematics Department, LSU

Functional-difference equations and applications

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett 240
Jay Walton, Department of Mathematics, Texas A & M University

Dynamic Fracture Models in Viscoelasticity

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett 240
Manuel Tiglio, Department of Physics, Louisiana State University

Summation by parts and dissipation for black hole excision

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett 240
Stephen McDowall, Department of Mathematics, Western Washington University Priklonsky

Total boundary determination of electromagnetic material parameters from boundary data

Colloquium
Questions or comments?

Posted October 8, 2003

Last modified January 27, 2004

Anton Deitmar, Mathematical Sciences Department, University of Exeter

Class number asymptotics in degree 3

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents. LEQSF(2002-04)-ENH-TR-13

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett Hall
Oscar Bruno, Department of Applied and Computational Mathematics, California Institute of Technology

New high-order, high-frequency methods in computational electromagnetism

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett Hall 240
Mayank Tyagi, Mechanical Engineering Department, Louisiana State University.

Issues in Large Eddy Simulations of Complex Turbulent Flows

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett Hall 240
Vladimir Priklonsky, Moscow State University

Tidal Flow and Transport Model

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett Hall 240
Paul Martin, Department of Mathematical and Computer Science, Colorado School of Mines, Golden

Fundamental solutions and functionally graded materials

Posted September 10, 2003

Last modified October 1, 2003

Louisiana Conference on Mathematical Control Theory (MCT'03)

Conference Web Page:

http://www.math.lsu.edu/~malisoff/LCMCT

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:00 pm Lockett Hall 240
Boris Belinskiy, Department of Mathematics, University of Tennessee at Chattanooga

Boundary Value Contact Problems

Control and Optimization Seminar
Questions or comments?

Posted September 19, 2003

3:30 pm 381 Lockett Hall
Peter Wolenski, LSU Department of Mathematics
Russell B. Long Professor

Clarke's New Necessary Conditions in Dynamic Optimization

Applied Analysis Seminar
Questions or comments?

Posted October 24, 2003

3:30 pm Lockett Hall 240
Jannette Frandsen, Department of Civil & Environmental Engineering, LSU

A Tuned Liquid Damper Model for Frequency Response Predictions of a Coupled System

LSU Academic Calendar
Official LSU Calendar Page

Posted July 31, 2003

Classes begin

Applied Analysis Seminar
Questions or comments?

Posted August 20, 2003

Last modified September 17, 2003

Gunter Lumer, University of Mons-Hainaut and Solvay Institute for Physics and Chemistry, Brussels

Multiparameter dynamics in macrophysics of clouds on flat and general surfaces, or in certain supply-management aspects

Control and Optimization Seminar
Questions or comments?

Posted August 26, 2003

3:40 pm - 4:30 pm Lockett 277
Jesus Pascal, Universidad del Zulia, Venezuela
Telephone: 011-58-414-3602104

Free Boundary Control Problem

LSU Academic Calendar
Official LSU Calendar Page

Posted July 31, 2003

Labor Day Holiday

LSU Academic Calendar
Official LSU Calendar Page

Posted July 31, 2003

Final day for dropping courses without receiving a grade of W

Harmonic Analysis Seminar
Abstract and additional information

Posted September 2, 2003

12:40 pm - 1:30 pm Lockett 381
Gestur Olafsson, Mathematics Department, LSU

Square Integrable Representations and Frames

LSU Academic Calendar
Official LSU Calendar Page

Posted August 11, 2003

Final date for adding courses and section changes

Applied Analysis Seminar
Questions or comments?

Posted September 4, 2003

Last modified September 17, 2003

Jung-Han Kimn, Mathematics Department, LSU

Overlapping Domain Decomposition Methods

Harmonic Analysis Seminar
Abstract and additional information

Posted September 5, 2003

Last modified September 8, 2003

Gestur Olafsson, Mathematics Department, LSU

Square Integrable Representations and Frames II

Probability Seminar
Questions or comments?

Posted September 8, 2003

3:40 pm - 4:30 pm Lockett 381
Eric Hillebrand, Economics Department, LSU

Unknown Parameter Changes in GARCH and ARMA Models

Colloquium
Questions or comments?

Posted September 2, 2003

Last modified September 5, 2003

Yuri Antipov, Mathematics Department, LSU

Functional-difference equations and applications

Faculty Meeting
Questions or comments?

Posted September 5, 2003

3:00 pm Lockett 2Undergraduate Courses

Agenda and Course Descriptions

Algebra and Number Theory Seminar
Questions or comments?

Posted September 10, 2003

Last modified January 27, 2004

Marco Schlichting, Universitat Essen, (Germany)

Negative K-theory of derived categories

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents. LEQSF(2002-04)-ENH-TR-13

Harmonic Analysis Seminar
Abstract and additional information

Posted September 8, 2003

12:40 pm - 1:30 pm Lockett 381
Gestur Olafsson, Mathematics Department, LSU

Square Integrable Representations and Frames III

Colloquium
Questions or comments?

Posted August 26, 2003

Last modified September 18, 2003

Amha Lisan, Mathematics Department, LSU

Transitive flows and associated congruences and groups

Abstract

Refreshments will be served in the lounge one half hour before the talk.

Colloquium
Questions or comments?

Posted September 4, 2003

Last modified January 27, 2004

Kalyan B. Sinha, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore

Non-commutative Analysis

Abstract

Refreshments will be served in the lounge one half hour before the talk.

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents.
LEQSF(2002-04)-ENH-TR-13

Harmonic Analysis Seminar
Abstract and additional information

Posted September 18, 2003

Last modified January 27, 2004

Karl Heinrich Hofmann, Darmstadt University, Germany
Professor Emeritus

How did the adjoint functor theorem get into Lie theory?

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents. LEQSF(2002-04)-ENH-TR-13

Applied Analysis Seminar
Questions or comments?

Posted September 4, 2003

Last modified September 23, 2003

Blaise Bourdin, Department of Mathematics and Center for Computation & Technology, LSU

Brittle fracture seen as a free discontinuities problem

Colloquium
Questions or comments?

Posted September 10, 2003

Last modified January 27, 2004

Marco Schlichting, Universitat Essen, (Germany)

Hermitian K-theory and Algebraic Bott Periodicity

Refreshments will be served in the lounge one half hour before the talk.

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents.
LEQSF(2002-04)-ENH-TR-13

Colloquium
Questions or comments?

Posted August 26, 2003

Last modified September 12, 2003

Michael M. Tom, Mathematics Department, LSU

Kadomtsev-Petviashvili and RLW-KP models

Abstract

Refreshments will be served in the lounge one half hour before the talk.

Applied Analysis Seminar
Questions or comments?

Posted September 17, 2003

4:00 pm - 5:00 pm 277, Lockett Hall
Horst Beyer, Max Planck Institute for Gravitational Physics, Golm, Germany, and Dept. of Mathematics, LSU

On the Stability of the Kerr Black Hole

Algebra and Number Theory Seminar
Questions or comments?

Posted September 8, 2003

Last modified September 17, 2003

Helena Verrill, Mathematics Department, LSU

Examples of rigid Calabi-Yau 3-folds

Posted September 4, 2003

Last modified July 19, 2004

Graduate Student Day

LSU Academic Calendar
Official LSU Calendar Page

Posted August 11, 2003

until Friday, October 3, 2003Fall Holiday

Offices remain open

Applied Analysis Seminar
Questions or comments?

Posted September 23, 2003

4:00 pm - 5:00 pm 277, Lockett Hall
Olivier Sarbach, Dept. of Mathematics and Dept. of Physics & Astronomy, LSU

The initial-boundary value formulation of Einstein's equations

Geometry and Topology Seminar
Seminar website

Posted October 1, 2003

3:30 pm - 4:30 pm Lockett 243
Patrick Gilmer, Mathematics Department, LSU

Integrality for TQFTs

Harmonic Analysis Seminar
Abstract and additional information

Posted October 6, 2003

12:40 pm - 1:30 pm Lockett 381
Shijun Zheng, LSU

The Perturbation of the Fourier Transform and Schroedinger Operators (continued)

LSU Academic Calendar
Official LSU Calendar Page

Posted August 11, 2003

until Saturday, October 18, 2003Midterms

Algebra and Number Theory Seminar
Questions or comments?

Posted September 11, 2003

Last modified September 17, 2003

Paul van Wamelen, Mathematics Department, LSU

Analytic Jacobians in Magma

Faculty Meeting
Questions or comments?

Posted October 8, 2003

3:40 pm 240 Lockett HallMeeting of the Full Professors

The meeting is to consider promotion cases. Anthony has the files for review.

Combinatorics Seminar
Questions or comments?

Posted October 3, 2003

3:10 pm - 4:00 pm Lockett 381
Guoli Ding, Mathematics Department, LSU

Some new problems on graph embeddings

LSU Academic Calendar
Official LSU Calendar Page

Posted August 11, 2003

Midterm grades due

Algebra and Number Theory Seminar
Questions or comments?

Posted October 15, 2003

3:40 pm - 4:30 pm Room 239
Paul van Wamelen, Mathematics Department, LSU

Analytic Jacobians in Magma II

Harmonic Analysis Seminar
Abstract and additional information

Posted October 17, 2003

12:40 pm - 1:30 pm Lockett 381
Shijun Zheng, LSU

The wavelet decomposition for operator multiplication

Probability Seminar
Questions or comments?

Posted October 15, 2003

3:40 pm - 4:30 pm
Padmanabhan Sundar, Mathematics Department, LSU

Stochastic Navier-Stokes

Geometry and Topology Seminar
Seminar website

Posted October 21, 2003

3:30 pm - 4:30 pm Lockett 243
Richard A. Litherland, Mathematics Department, LSU

On the Ozsvath-Szabo homology theory

Algebra and Number Theory Seminar
Questions or comments?

Posted September 12, 2003

Last modified September 17, 2003

Charles Neal Delzell, Mathematics Department, LSU

A generalization of Polya's theorem to signomials with rational exponents

Harmonic Analysis Seminar
Abstract and additional information

Posted October 24, 2003

12:40 pm - 1:30 pm Lockett 381
Yongdo Lim, Kyungpook National University

Best Approximation in Riemannian Geodesic submanifolds of Positive Definite Matrices

Colloquium
Questions or comments?

Posted October 14, 2003

Last modified October 16, 2003

Horst Beyer, Max Planck Institute for Gravitational Physics, Golm, Germany, and Dept. of Mathematics, LSU

On the Completeness of the Resonance Modes of the Poschl-Teller Potential

Abstract

Refreshments will be served in the lounge one half hour before the talk.

Applied Analysis Seminar
Questions or comments?

Posted August 14, 2003

Last modified October 23, 2003

Gilles Francfort, Université Paris Nord, France

Brittle fracture evolution: a variational standpoint.

Harmonic Analysis Seminar
Abstract and additional information

Posted October 30, 2003

12:40 pm - 1:30 pm Lockett 381
Mark Davidson, Mathematics Department, LSU

Generating Functions and Representation Theory

Geometry and Topology Seminar
Seminar website

Posted October 14, 2003

3:40 pm - 4:40 pm 243 Lockett Hall
Charles Frohman, University of Iowa

Symplectic measure, Reidemeister torsion and the Jones polynomial

Applied Analysis Seminar
Questions or comments?

Posted August 14, 2003

Last modified November 4, 2003

Yonggang Huang, Dept. of Mechanical Engineering, University of Illinois at Urbana-Champaign

The fundamental solution of intersonic crack propagation

Algebra and Number Theory Seminar
Questions or comments?

Posted November 3, 2003

3:40 pm - 4:30 pm Lockett 282
Eric Baxter, University of New Orleans

Prime time

Harmonic Analysis Seminar
Abstract and additional information

Posted November 7, 2003

12:40 pm - 1:30 pm
Mark Davidson, Mathematics Department, LSU

Generating Functions and Representation Theory

Probability Seminar
Questions or comments?

Posted November 11, 2003

3:40 pm - 4:30 pm Lockett 381Stochastic Navier-Stokes II: Some Basic Estimates

LSU Academic Calendar
Official LSU Calendar Page

Posted August 11, 2003

Final date for resigning/dropping courses

Applied Analysis Seminar
Questions or comments?

Posted October 28, 2003

4:00 pm - 5:00 pm 235, Lockett Hall
Andrej Cherkaev, University of Utah

TBA

To be followed by a "Special Fluid Dynamic" seminar at the Chimes.

Applied Analysis Seminar
Questions or comments?

Posted August 27, 2003

Last modified September 18, 2003

Andri Gretarsson, California Institute of Technology and LIGO livingston observatory

Detecting Gravitational Waves

Control and Optimization Seminar
Questions or comments?

Posted September 24, 2003

Last modified January 27, 2004

Yuan Wang, Florida Atlantic University

A Relaxation Theorem for Differential Inclusions with Applications to Stability Properties

Abstract: The fundamental Filippov-Wazewski Relaxation Theorem states that the

solution set of an initial value problem for a locally Lipschitz differential inclusion is dense in the solution set of the same initial value problem for the corresponding relaxation inclusion on compact intervals. In this talk, I will discuss a complementary result which says that the approximation can be carried out over non-compact or infinite intervals provided one does not insist on the same initial values. To illustrate the motivations for studying such approximation results, I will briefly discuss some quick applications of the result to various stability and uniform stability properties.

Visit supported by Visiting Experts Program in Mathematics, Louisiana
Board of Regents.
LEQSF(2002-04)-ENH-TR-13

Probability Seminar
Questions or comments?

Posted November 18, 2003

3:40 pm - 4:30 pm Lockett 381
Vochita Mihai, Department of Mathematics, LSU
Graduate Student

The Radon-Gauss Transform

Ramadan Dinner

Posted November 14, 2003

5:00 pm James E. Keisler Lounge (Room 321 Lockett)3rd Traditional Ramadan Dinner

Suat Namli and his Turkish friends will generously make a Turkish Ramadan dinner for our faculty, students, and families. We look forward to another fabulous feast!

Colloquium
Questions or comments?

Posted September 24, 2003

Last modified January 27, 2004

Yuan Wang, Florida Atlantic University

Input-to-State Stability of Nonlinear Control Systems

Abstract

Refreshments will be served in the lounge one half hour before the talk.

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents.
LEQSF(2002-04)-ENH-TR-13

Posted November 17, 2003

1:30 pm James E. Keisler Lounge (room 321 Lockett)Angie Traumonte, Blue Cross Blue Shield

This is the first meeting of the Actuarial Student Association. There will be pizza and refreshments served at the meeting.

Applied Analysis Seminar
Questions or comments?

Posted October 23, 2003

Last modified October 27, 2003

Peter Y Huang, LSU, Department of Mechanical Engineering

Direct Numerical Simulation of Multiphase Flows in Newtonian and Non-Newtonian Fluids

Control and Optimization Seminar
Questions or comments?

Posted November 18, 2003

Last modified November 24, 2003

Tzanko Donchev, University of Architecture and Civil Engineering, BULGARIA

Singular Perturbations in Infinite Dimensional Control Systems

Abstract: We consider a singularly perturbed control system involving differential inclusions in Banach spaces with slow and fast solutions. Using the averaging approach, we obtain sufficient conditions for the Hausdorff convergence of the set of slow solutions in the sup norm. We present applications of the theorem to prove convergence of the fast solutions in terms of invariant measures and convergence of equi-Lipschitz solutions. We also present some illustrative examples.

LSU Academic Calendar
Official LSU Calendar Page

Posted August 11, 2003

until Friday, November 28, 2003Thanksgiving Holiday

Offices closed

LSU Academic Calendar
Official LSU Calendar Page

Posted August 11, 2003

until Sunday, December 7, 2003Concentrated study period

LSU Academic Calendar
Official LSU Calendar Page

Posted August 11, 2003

Classes end

LSU Academic Calendar
Official LSU Calendar Page

Posted August 11, 2003

until Saturday, December 13, 2003Final exams

Applied Analysis Seminar
Questions or comments?

Posted November 17, 2003

4:00 pm - 5:00 pm 277, Lockett Hall
Darko Volkov, Department of Mathematical Sciences, New Jersey Institute of Technology

Integral equation methods for the statics and the dynamics of an
electrified fluid bridge

Colloquium
Questions or comments?

Posted December 14, 2003

Last modified March 11, 2009

David Levin, University of Utah

Modern Topics in Random Walks

Refreshments at 2:00 in the Keisler Lounge.

Abstract: I will survey some of my work relating to random walks: dynamical random walks and reconstruction of sceneries visited by a random walk. Dynamical random walks are easily constructed "coin tossing" analogues of infinite dimensional diffusions. We discuss the existence of times where atypical random walk behavior is seen, and give connections to the Ornstein-Uhlenbeck process on Wiener space. (Joint work with Khoshnevisan and Mendez.) Hidden Markov chains are widely applicable probabilistic models: a noisy function of an underlying stochastic process is seen, while the process itself is unobserved. We describe such models where an unknown scenery is explored by a hidden random walk, and discuss when reconstruction of this underlying scenery is possible. (Joint work with Pemantle and Peres.)

Colloquium
Questions or comments?

Posted December 17, 2003

2:30 pm - 3:30 pm
Patricia Hersh, University of Michigan

A GL_n(q) analogue of the partition lattice and discrete
Morse theory for posets

Cofffe at 2:00 in the Keisler Lounge
Abstract

LSU Academic Calendar
Official LSU Calendar Page

Posted August 11, 2003

Commencement

Colloquium
Questions or comments?

Posted January 8, 2004

2:40 pm - 3:30 pm Lockett 285
Diane Maclagan, Stanford University

Toric Hilbert schemes

Abstract: Toric Hilbert schemes have broad connections to other areas of mathematics, including optimization, geometric combinatorics, algebraic geometry, and representations of finite groups and quivers. They parameterize all ideals in a a polynomial ring with the simplest possible multigraded Hilbert function. I will introduce these objects, and discuss some of the applications.

LSU Academic Calendar
Official LSU Calendar Page

Posted January 16, 2004

Martin Luther King Day

Offices closed

LSU Academic Calendar
Official LSU Calendar Page

Posted January 16, 2004

Classes begin

Colloquium
Questions or comments?

Posted January 15, 2004

Last modified January 16, 2004

Scott Baldridge, Louisiana State University

Elementary Mathematics for Teachers: A mathematician's perspective

This talk describes a mathematics course, designed by mathematicians, for prospective elementary teachers. I will describe three unique features of the course: the extensive use of the Primary Mathematics books from Singapore, the idea of a ``teaching sequence", and the use of``teacher's solutions" in class and in homework. The course is based on a new textbook I wrote with T. Parker: Elementary Mathematics for Teachers. The goal of the textbook and the course is to present the mathematics clearly and correctly while keeping the focus on material that elementary school teachers will be addressing in their classrooms.

Refreshments in the Lounge at 3:00

Colloquium
Questions or comments?

Posted January 15, 2004

Last modified January 16, 2004

Scott Baldridge, Louisiana State University

Seiberg-Witten invariants of 4--manifolds with circle actions, with applications to symplectic topology.

Ever since the introduction of Donaldson invariants in the early 1980's, efforts to calculate diffeomorphism invariants of 4-manifolds centered upon large classes of smooth manifolds that have some additional structure. One such class of manifolds thought to have promise was 4-manifolds with effective circle actions, but the extra structure given by such manifolds turned out to be insufficient for calculating Donaldson invariants. However, it is possible to calculate their Seiberg-Witten invariants. In this talk I will give an overview of the Seiberg-Witten invariants and describe formulas for calculating the Seiberg-Witten invariant of 4-manifolds with circle actions. I will also discuss some results on the topology of symplectic 4-manifolds which follow from those calculations.

Refreshments in the Lounge at 3:00

Colloquium
Questions or comments?

Posted January 15, 2004

Last modified January 26, 2004

Malabika Pramanik, University of Wisconsin - Madison

Averaging and maximal operators for curves in R^3

We consider the L^p regularity of an averaging operator over a curve in R^3 with nonvanishing curvature and torsion. We also prove related local smoothing estimates, which lead to L^p boundedness of a certain maximal function associated to these averages. The common
thread underlying the proof of these results is a deep theorem of T. Wolff on cone multipliers. This is joint work with Andreas Seeger of University of Wisconsin, Madison.

Refreshments in Lounge at 2:00

Applied Analysis Seminar
Questions or comments?

Posted January 8, 2004

Last modified January 22, 2004

Petr Kloucek, Computational and Applied Mathematics department, Rice University

Stochastic Modeling of the Functional Crystalline Materials

LSU Academic Calendar
Official LSU Calendar Page

Posted January 16, 2004

Final day for dropping courses without receiving a grade of W

LSU Academic Calendar
Official LSU Calendar Page

Posted January 16, 2004

Final date for adding courses and section changes

Colloquium
Questions or comments?

Posted January 15, 2004

Last modified January 27, 2004

Susan Wilson, Michigan State University, College of Education

Reforming Mathematics Education; Lessons from California

Refreshments in the Lounge at 3:00

Harmonic Analysis Seminar
Abstract and additional information

Posted January 27, 2004

3:00 am - 3:50 am Lockett 381
Jimmie Lawson, Mathematics Department, LSU

The symplectic group, the symplectic semigroup, and the Ricatti Equation

Geometry and Topology Seminar
Seminar website

Posted January 27, 2004

Last modified January 30, 2004

Tara Brendle, Department of Mathematics, LSU

On finite order generators of the mapping class group

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents LEQSF(2002-04)-ENH-TR-13

Posted February 2, 2004

4:30 pm James Keisler lounge (Room 321 Lockett)Actuarial Student Association Meeting

There will be opportunities to sign-up for study groups preparing for the actuarial exams. Refreshments will be served.

Colloquium
Questions or comments?

Posted January 29, 2004

Last modified February 5, 2004

Pramod Achar, University of Chicago

Equivariant K-theory of the unipotent variety

Abstract:

The equivariant K-theory of the unipotent variety in a complex algebraic group has two natural bases, one indexed by the set $Lambda^+$ of dominant weights, the other by the set $Omega$ of irreducible representations of centralizers of unipotent elements. Lusztig's work on cells in affine Weyl groups led him to conjecture that the change-of-basis matrix relating these two bases is upper-triangular, and that in particular there is a natural bijection between $Lambda^+$ and $Omega$. This question has been treated in the work of Bezrukavnikov, Ostrik, Xi, and others. I will discuss an approach to the problem that, in the case of $GL(n)$, results in an explicit combinatorial algorithm for computing the bijection. I will also discuss connections to the Springer correspondence, duality, and other topics.

Harmonic Analysis Seminar
Abstract and additional information

Posted January 27, 2004

3:00 am - 3:50 am Monday, February 2, 2004 Lockett 381
Jimmie Lawson, Mathematics Department, LSU

The symplectic group, the symplectic semigroup, and the Ricatti Equation II

Faculty Meeting
Questions or comments?

Posted February 4, 2004

Last modified February 9, 2004

Meeting of the professorial faculty.

The meeting is to discuss hiring for this year and a 3rd year review file.

Colloquium
Questions or comments?

Posted January 29, 2004

Last modified February 11, 2004

Tatyana Foth, University of Michigan

Quantization, Kahler manifolds, and automorphic forms

Abstract:

I shall talk about results and problems that appear in the interplay between three subjects:

1. quantization (which can be regarded as an attempt to construct a finite-dimensional representation of the Lie algebra of smooth functions on a compact symplectic manifold with the Poisson bracket);

2. varying Kahler structure on a compact Kahler manifold with the symplectic form being kept fixed;

3. holomorphic automorphic forms on a bounded symmetric domain in C^n (for example, on the open unit ball in C^n with the Bergman metric).

Refreshments served in Keisler Lounge at 2pm.

Applied Analysis Seminar
Questions or comments?

Posted January 22, 2004

Last modified February 11, 2004

Vladimir Mityushev, Institute de Physique du Globe de Paris (France), and Pedagogical University in Slupsk (Poland)

Effective properties of composites with unidirectional cylindrical fibers

Colloquium
Questions or comments?

Posted February 4, 2004

3:40 pm - 4:30 pm Lockett 285
Irina Mitrea, Cornell University

On the Spectral Radius Conjecture in Two Dimensions

Harmonic Analysis Seminar
Abstract and additional information

Posted February 12, 2004

3:00 pm - 5:50 am Lockett 381
Jimmie Lawson, Mathematics Department, LSU

The symplectic group, the symplectic semigroup, and the Ricatti Equation III

Geometry and Topology Seminar
Seminar website

Posted February 12, 2004

3:30 pm - 4:30 pm Lockett 285
Ian Agol, University of Illinois, Chicago

Tameness of hyperbolic 3-manifolds

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents LEQSF(2002-04)-ENH-TR-13

Colloquium
Questions or comments?

Posted February 16, 2004

3:40 pm - 4:30 pm Lockett 285
Ruhai Zhou, Univ of North Carolina at Chapel Hill

Analysis and computations of nematic polymers

Applied Analysis Seminar
Questions or comments?

Posted January 9, 2004

Last modified February 16, 2004

Marcus Sarkis, Institito de Matematica Pura e Aplicada (IMPA, Brazil) and Worcester Polytechnic Institute

Schwarz Methods for Partial Differential Equations

LSU Academic Calendar
Official LSU Calendar Page

Posted January 16, 2004

until Wednesday, February 25, 2004Mardi Gras holiday

Offices remain open on Monday and Wednesday

Posted February 9, 2004

Annual Reports Due Today

You can submit annual reports by using the on-line form located here.

Applied Analysis Seminar
Questions or comments?

Posted January 14, 2004

Last modified March 1, 2004

Ricardo Estrada, Mathematics Department, LSU

Distributional Radius of Curvature

We show that any continuous plane path that turns to the left has a

well-defined distribution, that corresponds to the radius of curvature of

smooth paths. As a byproduct, we will learn to divide by 0! These ideas were

inspired by a talk by Professor H. Wong in the Applied Analysis Seminar some

months ago, where he showed how to use Dirac delta functions to model facets

in crystals.

Posted February 27, 2004

4:45 pm - 6:00 pm 319 Lockett HallActuarial Student Association Meeting

Guest speakers will be Phillip Clesi, Truman Breithaupt and Gregg Schneider. These are professional actuaries working in the New Orleans area. Refreshments will be available.

LSU Academic Calendar
Official LSU Calendar Page

Posted January 16, 2004

until Saturday, March 13, 2004Midterms

Harmonic Analysis Seminar
Abstract and additional information

Posted March 7, 2004

3:00 pm - 3:50 am Lockett 381
Gestur Olafsson, Mathematics Department, LSU

The Fuglede conjecture and related problems.

Student Math Club Talk

Posted February 2, 2004

Last modified March 8, 2004

Serge Lang, Yale University
Member, National Academy of Sciences

Recipient, Frank Nelson Cole Prize in Algebra

Dirac Families

Math Majors and other interested students are especially encouraged to come to this talk.

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents LEQSF(2002-04)-ENH-TR-13

Colloquium
Questions or comments?

Posted February 2, 2004

3:40 pm - 4:30 pm Wednesday, March 10, 2004 Lockett 285
Serge Lang, Yale University
Member, National Academy of Sciences

Recipient, Frank Nelson Cole Prize in Algebra

The Heat Kernel and Theta Inversion Formulas

Visit supported by Visiting Experts Program in Mathematics, Louisiana

Board of Regents LEQSF(2002-04)-ENH-TR-13

Colloquium
Questions or comments?

Posted January 30, 2004

Last modified March 1, 2004

Carl Mueller, University of Rochester

Properties of the Random String

Board of Regents LEQSF(2002-04)-ENH-TR-13

Faculty Meeting
Questions or comments?

Posted March 5, 2004

2:30 pm Lockett 2Meeting of the Tenured Faculty

Colloquium
Questions or comments?

Posted January 29, 2004

Last modified March 1, 2004

Stig Larsson, University of Goteberg, Chalmers University

The finite element method for a linear stochastic parabolic partial differential equation driven by additive noise

Board of Regents LEQSF(2002-04)-ENH-TR-13

Geometry and Topology Seminar
Seminar website

Posted March 8, 2004

2:40 pm - 3:30 pm Lockett 381
Graham Denham, University of Western Ontario

The Homotopy Lie Algebra of an Arrangement

Colloquium
Questions or comments?

Posted March 4, 2004

Last modified March 20, 2004

Mark Meerschaert, University of Nevada, Reno

The Fractal Calculus Project

Applied Analysis Seminar
Questions or comments?

Posted February 3, 2004

Last modified March 10, 2004

Gregory Kriegsmann, New Jersey Institute of Technology

Complete Transmission Through a Two-Dimensional Diffraction Grating

Abstract: The propagation of a normally incident plane electromagnetic wave through

a two-dimensional metallic grating, is modeled and analyzed using S-Matrix

theory. The period of the structure $A$ is on the order of the incident wave

length $lambda$, but the height of the channel $H$ separating the grating

elements is very small in comparison. Exploiting the small parameter $H/A$

an approximate transmission coefficient is obtained for the grating. For a

fixed frequency this coefficient is $O(H/A)$ due to the thinness of the channel.

However, near resonant lengths it is $O(1)$. That is, for certain widths

the structure is transparent. Similarly, for a fixed length the transmission

coefficient has the same resonant features as a function of frequency. This latter

feature makes this grating potentially useful as a selective filter.

Harmonic Analysis Seminar
Abstract and additional information

Posted March 8, 2004

3:03 pm - 3:52 pm Lockett 381
Simon Gindikin, Rutgers University

Some explicit formulas in integral geometry

Colloquium
Questions or comments?

Posted March 4, 2004

Last modified March 16, 2004

Loukas Grafakos , University of Missouri, Columbia

Calderon's program, the bilinear Hilbert transforms, and the Carleson-Hunt theorem

LSU Academic Calendar
Official LSU Calendar Page

Posted January 16, 2004

Midterm grades due

Colloquium
Questions or comments?

Posted January 27, 2004

Last modified January 29, 2004

John Willis, Cambridge University
Fellow, Royal Society of London (FRS)

Bounds for the Effective Constitutive Relation of a Nonlinear Composite

Abstract:

For a nonlinear composite, a bound on its effective energy density does not induce a corresponding bound on its constitutive relation, because differentiating a bound on a function does not automatically bound its derivative. In this work, a method introduced by G.W. Milton and S.K. Serkov for bounding directly the constitutive relation is refined by employing a linear comparison material, in a similar way that Talbot and Willis introduced such a material to obtain bounds of ``Hashin--Shtrikman'' type for the effective energy of a nonlinear composite. The original Milton--Serkov approach produces bounds with a close relationship to the classical energy bounds, of Voigt and Reuss type. The bounds produced in the present implementation are closely related to bounds of Hashin--Shtrikman type for the composite. It is demonstrated by means of examples that the approximate constitutive relation that is obtained by differentiating the energy bound can be on the boundary of the bounding set, obtained here, for the exact constitutive relation, but a simple counterexample is presented to show that this is not always the case.

(This talk reports on joint work with D R S Talbot.)

Visit supported by Visiting Experts Program in Mathematics, Louisiana
Board of Regents LEQSF(2002-04)-ENH-TR-13

Colloquium
Questions or comments?

Posted March 2, 2004

3:40 pm - 4:30 pm Lockett 285
Simon Gindikin, Rutgers University

Complex geometry and complex analysis on real symmetric spaces

Harmonic Analysis Seminar
Abstract and additional information

Posted March 15, 2004

3:00 pm - 3:50 pm Lockett 381
Karl Heinrich Hofmann, Darmstadt University, Germany
Professor Emeritus

Commuting exponential matrices and Lie theory

Applied Analysis Seminar
Questions or comments?

Posted February 11, 2004

Last modified March 15, 2004

John Strain, University of California Berkeley

High-order fractional step methods for constrained differential equations

Geometry and Topology Seminar
Seminar website

Posted March 3, 2004

Last modified March 12, 2004

Neal Stoltzfus, Mathematics Department, LSU

Diagonalization of the Lickorish Form on Non-crossing Chord Diagrams

Probability Seminar
Questions or comments?

Posted March 3, 2004

Last modified March 20, 2004

K Saito, Meijo University

Levy Laplacian and its Applications

LEQSF(2002-04)-ENH-TR-13

Colloquium
Questions or comments?

Posted March 4, 2004

Last modified March 20, 2004

Fritz Gesztesy, University of Missouri, Columbia

On the spectrum of Schrödinger operators with quasi-periodic algebro-geometric KdV potential

Refreshments will be served in Keisler lounge at 3pm.

Colloquium
Questions or comments?

Posted March 3, 2004

Last modified March 20, 2004

Alberto Setti, Universita' dell'Insubria - Como

Maximum principle on Riemannian manifolds: an overview

Refreshments will be served in Keisler lounge at 3pm.

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents.

LEQSF(2002-04)-ENH-TR-13

Colloquium
Questions or comments?

Posted February 11, 2004

Last modified March 22, 2004

Thomas Kerler, Ohio State University

Topological Quantum Field Theories

TQFT can be thought of as measures on topological spaces that behave nicely=functorially under the gluing of spaces. We will motivate the formalism and give an elementary construction of TQFT's starting from nothing more than the basic Seifert van-Kampen Theorem. From there we will expand on more general TQFT properties, formalisms and constructions, sketch some problems of finiteness and quantization, and present a few typical applications of TQFTs.

Refreshments will be served in the lounge one half hour before the talk.

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents.
LEQSF(2002-04)-ENH-TR-13

Geometry and Topology Seminar
Seminar website

Posted March 22, 2004

Last modified March 25, 2004

Thomas Kerler, Ohio State University

Mapping Class Group Representations from TQFT

Abstract: The TQFTs of Witten Reshetikhin Turaev imply representations of the mapping class

groups over the cyclotomic integers Z[\zeta] for \zeta a prime root of unity. These

representations are highly structured and allow "perturbative" filtrations due to the

rich ideal structure of Z[\zeta]. It is not too surprising that they are related to

well known filtrations of the mapping class groups, given, for example, by the

Johnson subgroups. We will describe such explicit relations in "low order" examples.

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents.

LEQSF(2002-04)-ENH-TR-13

Colloquium
Questions or comments?

Posted March 4, 2004

Last modified March 28, 2004

Salah-Eldin Mohammed, Southern Illinois University, Carbondale

The Stable Manifold Theorem for Stochastic Partial Differential Equations

Control and Optimization Seminar
Questions or comments?

Posted March 3, 2004

2:30 pm 240 Lockett Hall
Zhijun Cai, Department of Mechanical Engineering, LSU
Ph.D. Candidate

Adaptive Stabilization of Parametric Strict-Feedback Systems with Additive Disturbance

Abstract: This talk deals with the output regulation of uncertain, nonlinear, parametric strict-feedback systems in the presence of additive disturbance. A new continuous adaptive control law is proposed using a modified integrator backstepping design that ensures the output is asymptotically regulated to zero. Despite the disturbance, the adaptation law does not need the standard robustifying term (e.g., sigma-modification or e1-modification) to ensure the aforementioned stability result. A numerical example illustrates the main result.

Colloquium
Questions or comments?

Posted March 5, 2004

3:40 pm - 4:30 pm Lockett 285
David Kirshner, Department of Curriculum and Instruction, LSU

What Ails Elementary Algebra Education: Historical, Psychological, and Philosophical Perspectives

Refreshments in Keisler Lounge at 3pm

Faculty Meeting
Questions or comments?

Posted March 31, 2004

3:30 pm 285 Lockett HallMeeting of the tenured and tenure-track faculty

The purpose of the meeting is to discuss a senior hire at the level of full professor. A ballot will follow.

LSU Academic Calendar
Official LSU Calendar Page

Posted January 16, 2004

Final date for resigning/dropping courses

Harmonic Analysis Seminar
Abstract and additional information

Posted April 1, 2004

3:00 pm - 3:50 pm Lockett 381
Shijun Zheng, LSU

Operator representation in wavelet bases and Application in PDE's. Part 2.

Abstract. We give a short review on recent development on wavelet-based numerical solution of time-dependent partial differential equations. The fundamental idea is to use wavelet to give sparse matrix representations of the solution operators involved. Thus it leads to a fast algorithm for efficient approximation of the solution to the equation. We demonstrate the general scheme by considering the anisotropic diffusion problem arising in modeling thin film image processing. Other examples are advection-diffusion equations in $CFD$, including the connection with the incompressible Navier-Stokes equations in semigroup formulation.

Applied Analysis Seminar
Questions or comments?

Posted April 12, 2004

3:40 pm - 4:30 pm 235 Lockett Hall
Horst Beyer, Max Planck Institute for Gravitational Physics, Golm, Germany, and Dept. of Mathematics, LSU

On some vector analogues of Sturm-Liouville operators

Abstract: The talk considers a general class of densely defined, linear symmmetric operators in Hilbert space, which originate from the separation of vector partial differential operators (PDO) in three dimensions, which are invariant under the rotation group. Those PDO describe spheroidal Lagrangian adiabatic oscillations of spherically symmetric newtonian stars (treated as ideal fluids) in the so called `Cowling approximation' in stellar pulsation theory. Their extension properties turn out to be very similar to that of minimal Sturm-Liouville operators. In particular close analogues of Weyl's famous theorems hold. On the other hand the spectral properties of their self-adjoint extensions are quite different. In particular every extension has a non-trivial essential spectrum. Finally, a result is given which allows to determine the resolvent of the self-adjoint extensions, which are perturbed by a `matrix' of integral operators of a specific general type. Those perturbed operators are generalizations of operators governing spheroidal adiabatic oscillations of spherically symmetric stars.

Control and Optimization Seminar
Questions or comments?

Posted February 15, 2004

Last modified March 1, 2004

Frederic Mazenc, Institut National de Recherche en Informatique et en Automatique, FRANCE

Stabilization of Nonlinear Systems with Delay in the Input

Abstract: We present three results on the problem of globally uniformly and locally exponentially stabilizing nonlinear systems with delay in the input through differentiable bounded feedbacks: 1) We solve the problem for chains of integrators of arbitrary length. No limitation on the size of the delay is imposed. An exact knowledge of the delay is not required. 2) We solve the problem for an oscillator with an arbitrary large delay in the input. A first solution follows from a general result on the global stabilization of null controllable linear systems with delay in the input by bounded control laws with a distributed term. Next, it is shown through a Lyapunov analysis that the stabilization can be achieved as well when the distributed terms are neglected.
It turns out that this main result is intimately related to the output feedback stabilization problem. 3) We solve the problem for a family of nonlinear feedforward systems when there is a delay in the input. No limitation on the size of the delay is imposed. An exact knowledge of the delay is not required.

This visit is supported by the Visiting Experts Program in Mathematics, Louisiana Board of Regents Grant LEQSF(2002-04)-ENH-TR-13.

Applied Analysis Seminar
Questions or comments?

Posted January 9, 2004

Last modified April 13, 2004

Guillermo Goldsztein , School of Mathematics, Georgia Institute of Technology

Perfectly plastic heterogeneous materials

Colloquium
Questions or comments?

Posted March 23, 2004

Last modified April 13, 2004

Ronald Stanke, Baylor University

Differential Operators, SL(2,R) Invariance and Special Functions

Refreshements in the Lounge one half hour befiore talk

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents.

LEQSF(2002-04)-ENH-TR-13

Mathematics-Physics Joint Colloquium

Posted April 13, 2004

3:40 pm - 4:30 pm 152 Coates Hall
Ravi Rau, Department of Physics and Astronomy, LSU

Supersymmetry in Quantumn Mechanics

Algebra and Number Theory Seminar
Questions or comments?

Posted March 23, 2004

Last modified April 16, 2004

Ling Long, Iowa State University

On Atkin-Swinnerton-Dyer congruence relations

Board of Regents LEQSF(2002-04)-ENH-TR-13

Applied Analysis Seminar
Questions or comments?

Posted March 1, 2004

Last modified April 16, 2004

Daniel Sage, Mathematics Department, LSU

Racah coefficients, subrepresentation semirings, and composite materials--An application of representation theory to material science

Faculty Meeting
Questions or comments?

Posted April 2, 2004

3:40 pm 15 Lockett HallA question-and-answer session with the two candidates for chair

The meeting is open to Mathematics Department professors and instructors.

Candidates’ answers to written questions will be available to professors and instructors shortly after Spring Break.

Colloquium
Questions or comments?

Posted March 28, 2004

3:40 pm - 4:30 pm Lockett 281
Boris Rubin, The Hebrew University of Jerusalem

Selected problems of integral geometry and small denominators on the sphere

Harmonic Analysis Seminar
Abstract and additional information

Posted April 20, 2004

3:00 pm - 3:50 pm Lockett 381
Boris Rubin, Lousiana State University

Zeta integrals and Radon transforms on the space of rectangular matrices

Colloquium
Questions or comments?

Posted April 7, 2004

Last modified April 25, 2004

Paul Saylor, University of Illinois

What Does Radar Have to Do with Solving Sets of Linear Equations?

Colloquium
Questions or comments?

Posted March 31, 2004

Last modified April 26, 2004

Thierry Lévy, École normale supérieure and CNRS

Two-dimensional Yang-Mills theory is almost a topological field theory

Control and Optimization Seminar
Questions or comments?

Posted February 15, 2004

Last modified March 26, 2004

Michael Malisoff, LSU

Remarks on the Strong Invariance Property for Non-Lipschitz Dynamics

Abstract: Topics in flow invariance theory provide the foundation for considerable current research in modern control theory and optimization.Starting from strong invariance and its Hamiltonian characterizations, one can develop uniqueness results and regularity theory for proximal solutions of Hamilton-Jacobi-Bellman equations, stability theory, infinitesimal characterizations of monotonicity, and many other applications. On the other hand, it is well appreciated that many important dynamics are non-Lipschitz, and may even be discontinuous, and therefore are beyond the scope of the known strong invariance characterizations. Therefore, the development of conditions guaranteeing strong invariance under less restrictive assumptions is a problem that is of considerable ongoing research interest. In this talk we will report on some recently developed sufficient conditions for strong invariance for discontinuous differential inclusions. This talk is based in part on the speaker's joint work with Mikhail Krastanov and Peter Wolenski.

Colloquium
Questions or comments?

Posted March 16, 2004

Last modified April 13, 2004

Paulo Lima-Filho, Texas A&M

Applications of operads and ternary trees to polynomial map

Using ternary trees we build operads and use them to define a family of ideals in the (non-commutative) algebra generated by pointed ternary trees. These constructions have several applications to iterations of polynomial maps and conjectures in algebraic geometry. This is an essentially self-contained talk, accessible to a general audience and to graduate students.
Refreshments will be served in the lounge one half hour before the talk.

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents.

LEQSF(2002-04)-ENH-TR-13

Posted April 30, 2004

2:00 pm Lockett 301 D
Costel Ionita, Mathematics Department, LSU

Class Groups and Norms of Units

Graduate Advisor: Jurgen Hurrelbrink

Harmonic Analysis Seminar
Abstract and additional information

Posted April 20, 2004

2:30 pm - 3:30 pm Lockett 381
Ziemowit Rzeszotnik, University of Texas, Austin

Norm of the Fourier transform on finite abelian groups

Algebra and Number Theory Seminar
Questions or comments?

Posted April 26, 2004

Last modified April 27, 2004

Paulo Lima-Filho, Texas A&M

On the RO(Z/2)-graded equivariant cohomology ring of real quadrics

ABSTRACT: We provide a complete presentation of the RO(Z/2)-graded

equivariant cohomology ring of real quadrics under the action of the

Galois group. Then we exhibit its relation to classical objects in

topology and to motivic cohomology over the reals.

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of

Regents LEQSF(2002-04)-ENH-TR-13

Harmonic Analysis Seminar
Abstract and additional information

Posted April 27, 2004

3:00 pm - 3:50 pm Lockett 381
Dave Larson, Texas A&M

Wavelet sets and Frames

Posted March 29, 2004

Last modified April 1, 2004

Reception for Dr. Richard Anderson

Please join us for a reception honoring Dr. Richard Anderson and his accomplishments in mathematics and mathematics education.

Refreshments will be served.

Sponsored by the Cain Center and the Department of Mathematics

Posted May 3, 2004

3:00 pm James Kiesler Lounge, 319 Lockett HallSpring Math Awards Ceremony

The Porcelli Scholarships, The Betti and Robert Giles Senior Mathematics Award, The David Oxley Memorial Graduate Student Teaching Award, and Certificates of Teaching Excellence (for graduate assistants) will be awarded. Refreshments will be provided. This will also serve as the colloquium tea for the colloquium which follows.

Colloquium
Questions or comments?

Posted April 3, 2004

3:30 pm - 4:30 pm 285 Lockett Hall
Milton C. Lopes Filho, Penn State University and UNICAMP, Brazil

Open problems on mathematical hydrodynamics

Abstract: Mathematical hydrodynamics is primarily concerned with the behavior of solutions of the incompressible Euler and Navier-Stokes equations. These nonlinear systems of PDEs have a rich mathematical structure that keeps hydrodynamics a topic of current interest in mathematical research. One illustration of the cogency of this topic is the choice of the singularity problem for the Navier-Stokes equations as one of the seven Millenium Prize Problems. Problems in the field of mathematical hydrodynamics often reduce to proving that solutions of the incompressible flow equations behave as actual fluids are known to behave. In this talk we will examine a few instances where the known behavior of real fluids leads to open problems on the behavior of solutions of the incompressible flow equations, exploring the power, and the limitations, of modern analytic techniques used in the treatment of these problems.

Refreshments will be served in the lounge one half hour before the talk. Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents. LEQSF(2002-04)-ENH-TR-13

Applied Analysis Seminar
Questions or comments?

Posted April 26, 2004

Last modified May 3, 2004

Helena Nussenzveig Lopes, Universidade Estadual de Campinas (Brasil) and Penn State University

On vortex sheet evolution

Visit supported by Visiting Experts Program in Mathematics, Louisiana

Board of Regents. LEQSF(2002-04)-ENH-TR-13

Abstract

Faculty Meeting
Questions or comments?

Posted May 7, 2004

3:30 pm Lockett 285Faculty Meeting

The agenda is a report on the upcoming program review and hiring.

Colloquium
Questions or comments?

Posted May 13, 2004

3:30 pm - 4:30 pm Lockett 285
Cun-Quan Zhang, West Virginia University

Some Results about Integer Flows

Refreshments in Keisler Lounge at 3pm

Posted May 7, 2004

10:00 am Lockett 301 D
Vochita Mihai, Department of Mathematics, LSU
Graduate Student

The Radon-Gauss Transform

Graduate Advisor: Ambar Sengupta

Posted June 7, 2004

3:00 pm 301D Lockett Hall
Troels Johansen, Mathematics Department, LSU
Graduate Student

Orbit structure on the Silov boundary of a tube domain and the Plancherel decomposition of a causally compact symmetric space, with emphasis on the rank one case

Graduate Advisor: Gestur Olafsson

Posted June 18, 2004

11:30 am 301D Lockett Hall
Mihaly Kovacs, Mathematics Department, LSU
Graduate Student

On qualitative properties and convergence of time-discretization methods for semigroups

Graduate Advisors: Frank Neubrander (LSU) and Istvan Farago (Eotvos Lorand University, Budapest, Hungary)

Posted July 19, 2004

Last modified July 20, 2004

International Graduate Student Orientation Meetings

New International Student Orientation for the Fall semester of 2004 will be held on Thursday and Friday, August 12-13, 2004. International Orientation begins Thursday, August 12, 2004 from 8:00 a.m. - 4:30 p.m. in the Royal-Cotillion Ballroom of the LSU Union. At 8:15 a.m. on Friday, August 13, new international students are to report to 51 Himes Hall for Michigan English testing (written English). Appintments will be scheduled for Spoken English Interviews for all International Graduate Assistants.

Posted July 19, 2004

Last modified July 21, 2004

Registration of New Graduate Students, Monday through Friday

All new graduate students in mathematics should visit the Director in 386 Lockett Hall to register for courses between Monday and Friday this week. A list of other items to which new students must attend that week will be provided at that office, so please visit early rather than late!

Posted July 19, 2004

1:30 pm - 4:00 pm 285 Lockett HallCore-1 Comprehensive Exam in Analysis

This is part of the PhD Qualifying Exam. Graduate students need to pass the three Core-1 tests and any one of the six possible Core-2 tests by January of the second year of study. All students taking Comprehensive Exams should pre-register for them with the Graduate Director.

Posted July 19, 2004

1:30 pm - 4:00 pm 285 Lockett HallCore-1 Comprehensive Exam in Topology

This is part of the PhD Qualifying Exam. Graduate students need to pass the three Core-1 tests and any one of the six possible Core-2 tests by January of the second year of study. All students taking Comprehensive Exams should pre-register for them with the Graduate Director.

Posted July 19, 2004

8:15 am - 12:30 pm LSU Union Theater LobbyGraduate Student Orientation

This is the Graduate School's required Orientation Meeting for all new graduate students at LSU. Coffee, donuts and juice will be served at 8:15 AM and lunch will be served later. There will be an Information and Resource Fair included in the Cotillion Ballroom starting at 11 AM.

Posted July 21, 2004

Last modified August 10, 2004

Orientation Meeting for Graduate Students leading recitations in Math 1431 and 1022

Graduate Students assigned to lead recitation sections for Math 1431 (Business Calculus) and 1022 (Trigonometry) will learn how to help undergraduates with MAPLE TA, a computer program which will be used this fall to support instruction in those subjects. Graduate Students who have been assigned to lead recitations in these subjects will receive a note about this in their letter boxes in Room 301 in August.

Posted July 19, 2004

1:30 pm - 4:00 pm 285 Lockett HallCore-1 Comprehensive Exam in Algebra

This is part of the PhD Qualifying Exam. Graduate students need to pass the three Core-1 tests and any one of the six possible Core-2 tests by January of the second year of study. All students taking Comprehensive Exams should pre-register for them with the Graduate Director.

Posted July 19, 2004

1:00 pm - 4:30 pm 285 Lockett HallCore-2 Comprehensive Exams

Graduate students need to pass the three Core-1 tests and any one of the six possible Core-2 tests by January of the second year of study. All students taking Comprehensive Exams should pre-register for them with the Graduate Director. Since there is a choice of Core-2 Exam subjects, Core-2 Exams will be offered only according to the requests of students who have registered.

Control and Optimization Seminar
Questions or comments?

Posted August 27, 2004

3:00 pm 381 Lockett Hall
Stanislav Zabic, Louisiana State University Department of Mathematics
Graduate Student

Impulsive Systems

Faculty Meeting
Questions or comments?

Posted August 20, 2004

3:30 pm Lockett 5Provost Palm speaks to the faculty.

The Provost and Executive Vice Chancellor, Risa Palm, will visit the Mathematics Department and discuss the National Flagship Agenda.

Faculty Meeting
Questions or comments?

Posted August 23, 2004

3:00 pm - 4:00 pm Atchafalaya Room of the UnionA&S Assistant Professor Meeting

Come Meet the Deans! Refreshments will be served

Control and Optimization Seminar
Questions or comments?

Posted September 3, 2004

Last modified September 10, 2004

Stanislav Zabic, Louisiana State University Department of Mathematics
Graduate Student

Impulsive Systems, Part II

Posted September 8, 2004

3:30 pm - 4:30 pm 243 LockettGraduate Student Seminar

Bill Schellhorn will speak.

Algebra and Number Theory Seminar
Questions or comments?

Posted September 9, 2004

Last modified September 13, 2004

Helena Verrill, Mathematics Department, LSU

Finding the Picard Fuchs differential equations of certain families of Calabi-Yau varieties

Geometry and Topology Seminar
Seminar website

Posted September 8, 2004

4:10 pm - 5:00 pm Lockett 284
Scott Baldridge, Louisiana State University

Introduction to 4-Manifold Theory, I

Posted August 24, 2004

4:30 pm The James Keisler Lounge (321 Lockett)Actuarial Student Association Meeting

Organizing meeting to set up study groups, propose speakers, and introduce new officers.

Harmonic Analysis Seminar
Abstract and additional information

Posted September 9, 2004

2:40 pm - 3:30 pm Lockett 381
Jens Christensen, Mathematics Department, LSU

Uncertainty principles generated by Lie-groups

Control and Optimization Seminar
Questions or comments?

Posted September 20, 2004

3:00 pm 381 Lockett Hall
Norma Ortiz, Mathematics Department, LSU
Ph.D. Student

An Existence Theorem for the Neutral Problem of Bolza

Posted September 8, 2004

3:30 pm - 4:30 pm 243 LockettGraduate Student Seminar

Steven Wallace will speak.

Algebra and Number Theory Seminar
Questions or comments?

Posted September 17, 2004

3:10 pm - 4:00 pm Lockett 282
Jerome W. Hoffman, Mathematics Department, LSU

Modular forms on noncongruence subgroups and Atkin-Swinnerton_Dyer congruences

Geometry and Topology Seminar
Seminar website

Posted September 20, 2004

4:10 pm - 5:00 pm Lockett 284
Scott Baldridge, Louisiana State University

Introduction to 4-manifold theory, II

Harmonic Analysis Seminar
Abstract and additional information

Posted September 17, 2004

2:40 pm - 3:30 pm Lockett 381
Jens Christensen, Mathematics Department, LSU

Uncertainty principles generated by Lie-groups

Colloquium
Questions or comments?

Posted September 17, 2004

3:30 pm - 4:30 pm Lockett 277
Daniel Sage, Mathematics Department, LSU

Group and quantum group actions on algebras and composite materials

Control and Optimization Seminar
Questions or comments?

Posted September 21, 2004

3:10 pm - 4:00 pm Lockett 381
Norma Ortiz, Mathematics Department, LSU
Ph.D. Student

An existence theorem for the neutral problem of Bolza, Part II

Algebra and Number Theory Seminar
Questions or comments?

Posted September 9, 2004

Last modified September 13, 2004

Marco Schlichting, Louisiana State University

Higher algebraic K-theory of forms and Karoubi's fundamental theorem

Geometry and Topology Seminar
Seminar website

Posted September 21, 2004

4:10 pm - 5:00 pm Lockett 284
Scott Baldridge, Louisiana State University

Introduction to 4-Manifolds III

Harmonic Analysis Seminar
Abstract and additional information

Posted September 22, 2004

2:40 pm - 3:30 pm Lockett 381
Jens Christensen, Mathematics Department, LSU

An Uncertainty Principle Related to the Euclidean motion group

I will show that a well known uncertainty principle for functions on the circle can be derived from the generators of the Euclidean motion group.

Colloquium
Questions or comments?

Posted September 23, 2004

3:30 am - 4:30 am Lockett 277
Ricardo Estrada, Mathematics Department, LSU

On the regularization of generalized functions

Control and Optimization Seminar
Questions or comments?

Posted September 29, 2004

Last modified October 1, 2004

Vinicio Rios, LSU Department of Mathematics
Ph.D. Student

Strong Invariance for Dissipative Lipschitz Dynamics

Posted September 8, 2004

3:30 pm - 4:30 pm 243 LockettGraduate Student Seminar

Jean Bureau will speak.

Colloquium
Questions or comments?

Posted September 30, 2004

3:30 pm - 4:30 pm Lockett 239
Mark Davidson, Mathematics Department, LSU

Generating functions associated to Highest Weight Representations

Harmonic Analysis Seminar
Abstract and additional information

Posted September 30, 2004

2:40 pm - 3:30 pm Lockett 381
Daniel Sage, Mathematics Department, LSU

Group and Hopf algebra actions on central simple algebras.

Faculty Meeting
Questions or comments?

Posted August 4, 2004

3:00 pm Lockett 2Meeting with the Dean of the College.

Dean Ferreyra will meet with faculty members to discuss the chair's evaluation.

Control and Optimization Seminar
Questions or comments?

Posted October 6, 2004

3:10 pm - 4:00 pm 381 Lockett Hall
Vinicio Rios, LSU Department of Mathematics
Ph.D. Student

Strong Invariance for Dissipative Lipschitz Dynamics, Part II

Refreshments

Posted October 4, 2004

2:30 pm - 3:00 pm Keisler LoungeRefreshments before talk of Gregor Masbaum

Scheduled not to conflict with Algebra Seminar Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents LEQSF(2002-04)-ENH-TR-13

Algebra and Number Theory Seminar
Questions or comments?

Posted September 9, 2004

Last modified September 30, 2004

Ambar Sengupta, Mathematics Department, LSU

Calculus Reform, or How (super)Algebra simplifies Calculus (on manifolds)

Probability Seminar
Questions or comments?

Posted October 8, 2004

3:30 pm - 4:30 pm Lockett 277
Kiseop Lee, University of Louisville

Insider's hedging in a jump diffusion model

Geometry and Topology Seminar
Seminar website

Posted September 24, 2004

Last modified October 1, 2004

Gregor Masbaum, University Paris 7

Integral lattices in TQFT

Faculty Meeting
Questions or comments?

Posted September 24, 2004

3:00 pm Allen 35Meeting of the Tenured Faculty

Promotion Cases: One to associate professor, two to full professor, and one tenure only.

Control and Optimization Seminar
Questions or comments?

Posted October 13, 2004

Last modified October 14, 2004

George Cazacu, LSU Department of Mathematics
Ph.D. student

A characterization of stability for dynamical polysystems via Lyapunov functions

Posted September 22, 2004

3:30 pm - 4:30 pm Lockett 243Graduate Student Seminar

Debra Czarneski will speak on Zeta functions for graphs

Harmonic Analysis Seminar
Abstract and additional information

Posted October 18, 2004

2:40 pm - 3:30 pm Lockett 312
Daniel Sage, Mathematics Department, LSU

Group and Hopf algebra actions on central simple algebras. II

Algebra and Number Theory Seminar
Questions or comments?

Posted September 17, 2004

Last modified October 19, 2004

Pramod Achar, Mathematics Department, LSU

Hecke algebras and complex reflection groups

Posted July 19, 2004

Last modified September 14, 2004

Graduate Student Day

Schedule of activities and directions

Control and Optimization Seminar
Questions or comments?

Posted October 20, 2004

3:10 pm - 4:00 pm 381 Lockett Hall
George Cazacu, LSU Department of Mathematics
Ph.D. student

Closed relations and Lyapunov functions for polysystems

Posted October 12, 2004

3:30 pm - 4:30 pm Lockett 243Graduate Student Seminar

Jeremy J. Becnel will give a talk on "Windows 2020: Built on Quantum Technology"

Faculty Meeting
Questions or comments?

Posted October 20, 2004

3:00 pm Lockett 284Hiring Plan

The IRC is finishing their hiring plan and will release the document soon. The meeting is to discuss the plan.

Harmonic Analysis Seminar
Abstract and additional information

Posted October 22, 2004

2:40 pm - 3:30 pm Lockett 281
Daniel Sage, Mathematics Department, LSU

Group and Hopf algebra actions on central simple algebras. III

Colloquium
Questions or comments?

Posted October 20, 2004

3:40 pm - 4:30 pm Lockett 277
Fernando Rodriguez-Villegas, University of Texas at Austin

The Many Aspects of Mahler's Measure

Visit supported by Visiting Experts Program in Mathematics, Louisiana Board of Regents LEQSF(2002-04)-ENH-TR-13 Refreshments will be served in the lounge at 3pm.

Joint Topology and Algebra/Number Theory Seminar

Posted October 25, 2004

3:30 pm - 4:30 pm Lockett 243
Fernando Rodriguez-Villegas, University of Texas at Austin

"Mahler's measure and the Dilogarithm"

Posted October 22, 2004

3:30 pm - 4:30 pm Lockett 243Graduate Student Seminar

Khaled Qazaqzeh will give a talk on "The Parity of the Maslov Index" (joint work with P. Gilmer)

Algebra and Number Theory Seminar
Questions or comments?

Posted September 10, 2004

Last modified October 22, 2004

Robert Perlis, Mathematics Department, LSU

Disconnected thoughts on Klein's four group

Harmonic Analysis Seminar
Abstract and additional information

Posted November 3, 2004

2:40 pm - 3:30 pm Lockett 381
Daniel Sage, Mathematics Department, LSU

Group and Hopf algebra actions on central simple algebras. IV

Applied Analysis Seminar
Questions or comments?

Posted September 10, 2004

Last modified October 13, 2004

Enrique Reyes, University of New Orleans

Practical finite difference modeling approaches to environmental problems: Louisiana coastal land loss.

Harmonic Analysis Seminar
Abstract and additional information

Posted November 3, 2004

2:40 pm - 3:30 pm Lockett 381
Daniel Sage, Mathematics Department, LSU

Group and Hopf algebra actions on central simple algebras. V

Applied Analysis Seminar
Questions or comments?

Posted October 13, 2004

3:30 pm 239, Lockett Hall
Stephen Shipman, Mathematics Department, LSU

Anomalous electromagnetic transmission mediated by guided modes

Control and Optimization Seminar
Questions or comments?

Posted November 10, 2004

3:00 pm 381 Lockett Hall
Michael Malisoff, LSU

New Constructions of Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems

This talk is based on the speaker's joint work "Further Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems" with Frederic Mazenc (arXiv math.OC/0411150).

Computational Mathematics/CCT Seminar

Posted November 8, 2004

Last modified November 9, 2004

Oren Livne, School of Computing, University of Utah

A Multigrid Overview

Control and Optimization Seminar
Questions or comments?

Posted November 3, 2004

Last modified November 17, 2004

Peter Wolenski, LSU Department of Mathematics
Russell B. Long Professor

Introduction to control Lyapunov functions and feedback

Posted November 11, 2004

3:30 pm - 4:30 pm Lockett 243Graduate Student Seminar

Michael Aristidou will talk about "Laguerre Functions for the Cone of Positive Definite Real Matrices"

Control and Optimization Seminar
Questions or comments?

Posted November 25, 2004

3:10 pm - 4:00 pm 381 Lockett Hall
Peter Wolenski, LSU Department of Mathematics
Russell B. Long Professor

Introduction to control Lyapunov functions and feedback, Part II

Faculty Meeting
Questions or comments?

Posted November 18, 2004

Last modified November 29, 2004

Meeting of the Tenured and Tenure-Track Faculty

online voting, delegating hiring authority, promotion/tenure/evaluation discussion

Applied Analysis Seminar
Questions or comments?

Posted October 26, 2004

3:30 pm 239, Lockett Hall
Jonathan Dowling, Louisiana State University, Department of Physics
Hearne Professor of Theoretical Physics at LSU,
Quantum Sciences and Technologies Group

Effective densities of state

Party

Posted November 29, 2004

12:00 pm James Keisler lounge (Room 321 Lockett)Christmas Party

Food, Awards, and Food.

Colloquium
Questions or comments?

Posted November 29, 2004

Last modified December 3, 2004

Christopher Leininger, Columbia University
Candidate for Assistant Professor Position in Topology

Teichmuller disks in geometry and topology

Refreshments in Keisler Lounge at 3:00 PM

Applied Analysis Seminar
Questions or comments?

Posted October 26, 2004

3:30 pm - 4:30 pm 239, Lockett Hall
Petr Plechak, Mathematics Institute, University of Warwick
Candidate for Associate Professor Position in Scientific Computation

TBA

Algebra and Number Theory Seminar
Questions or comments?

Posted December 9, 2005

Locket 285
Marie-JosÃ© Bertin, UniversitÃ© Pierre et Marie Curie, Paris

TBA

Posted January 3, 2005

1:30 pm - 4:00 pm Room 285 Lockett HallCore-I Analysis

Comprehensive (PhD Qualifying) Exam

Posted January 3, 2005

1:30 pm - 4:00 pm Room 285 Lockett HallCore-I Topology

Comprehensive (PhD Qualifying) Exam

Posted December 27, 2005

1:30 pm 285 Lockett HallCore-1 Analysis Comprehensive/PhD Qualifying Exam

This is the first of the three component tests of the Core-1 part of the PhD Qualifying Exam. If unsure weather or not you are required to take this test, please consult the Graduate Director and read the link http://www.math.lsu.edu/grad/CompSignF2005.pdf to sign up.

Posted January 3, 2005

1:30 pm - 4:00 pm Room 285 Lockett HallCore-I Algebra

Comprehensive (PhD Qualifying) Exam

Posted January 3, 2005

1:00 pm - 4:30 pm Room 285 LockettCore-II Exams (all)

Comprehensive (PhD qualifying) Exam

Colloquium
Questions or comments?

Posted December 13, 2004

Last modified January 5, 2005

Selim Esedoglu, UCLA
Candidate for Assistant Professor Position in Applied Math

Threshold dynamics for the piecewise constant Mumford-Shah

Colloquium
Questions or comments?

Posted January 5, 2005

Last modified January 12, 2005

Burak Aksoylu, University of Texas at Austin, Institute for Computational Eng. and Science
Candidate for Assistant Professor Position in Scientific Computation

Local refinement and single/multi level preconditioning with applications in biophysics, computer graphics, and geosciences

Applied Analysis Seminar
Questions or comments?

Posted October 3, 2004

Last modified October 26, 2004

Michel Jabbour, University of Kentucky

TBA

Colloquium
Questions or comments?

Posted December 13, 2004

Last modified January 14, 2005

Valeriy Slastikov, Carnegie mellon University
Candidate for Assistant Professor Position in Applied Math

Geometrically Constrained Walls

Harmonic Analysis Seminar
Abstract and additional information

Posted January 25, 2005

10:40 am - 11:30 am Lockett 282
Jimmie Lawson, Mathematics Department, LSU

Symmetric Spaces with Seminegative Curvature

Colloquium
Questions or comments?

Posted January 24, 2005

Last modified January 27, 2005

Tara Brendle, Mathematics Department, Cornell University
Candidate for Assistant Professor Position in Topology

Mapping class groups and complexes of curves

Applied Analysis Seminar
Questions or comments?

Posted October 27, 2004

Last modified January 27, 2005

Asher Rubinstein, Department of Mechanical Engineering, Tulane University

Failure Analysis of Thermal Barrier Coatings

Colloquium
Questions or comments?

Posted January 24, 2005

Last modified January 26, 2005

Brendan Owens, Mathematics Department, Cornell University
Candidate for Assistant Professor Position in Topology

Four-manifolds with prescribed boundary and applications to knot theory

Colloquium
Questions or comments?

Posted January 21, 2005

Last modified January 26, 2005

Masako(Marta) Asaeda, Mathematics Department, University of Iowa
Candidate for Assistant Professor Position in Topology

Generalizations of Khovanov homology

Posted January 21, 2005

4:00 pm Keisler LoungeSpring Organizational Meeting of the ASA

Harmonic Analysis Seminar
Abstract and additional information

Posted January 25, 2005

10:40 am - 11:30 am Lockett 282
Jimmie Lawson, Mathematics Department, LSU

Symmetric Spaces of Seminegative Curvature

Colloquium
Questions or comments?

Posted January 26, 2005

Last modified January 31, 2005

Hongyu He, Mathematics Department, LSU

Tensor Products of Oscillator Representations

Colloquium
Questions or comments?

Posted January 26, 2005

Last modified February 3, 2005

Ai-Ko Liu, U. C. Berkeley, Mathematics
Candidate for Assistant Professor in Geometric Analysis

Cosmic String, Family Seiberg-Witten theory and Harvey-Moore Conjecture

Faculty Meeting
Questions or comments?

Posted February 11, 2005

3:40 pm Lockett 285Meeting of the tenured and tenure-track faculty

The VIGRE grant and the Friday site visit.

Colloquium
Questions or comments?

Posted January 31, 2005

Last modified February 1, 2005

Justin Sawon, Department of Mathematics, SUNY at Stony Brook
Candidate for Assistant Professor in Topology

Derived equivalence of algebraic varieties

Harmonic Analysis Seminar
Abstract and additional information

Posted February 4, 2005

10:40 am - 11:30 am Lockett 282
Jimmie Lawson, Mathematics Department, LSU

Symmetric Spaces of seminegative curvature

Geometry and Topology Seminar
Seminar website

Posted February 10, 2005

Last modified February 15, 2005

Daniel C. Cohen, Mathematics Department, LSU

Topology and Combinatorics of boundary manifolds of arrangements

Joint Virtual Seminar with the University of Iowa

Colloquium
Questions or comments?

Posted January 31, 2005

Last modified February 1, 2005

Yann Rollin, MIT, Department of Mathematics
Candidate for Assistant Professor in Geometric Analysis

Construction of Kaehler surfaces with constant scalar curvature

VIGRE panel site

Posted February 16, 2005

8:00 am - 4:45 pm James E. Keisler Mathematics LoungeVIGRE panel site visit

The VIGRE panel will interview with various students, faculty, and administrators throughout the day.

Applied Analysis Seminar
Questions or comments?

Posted October 26, 2004

Last modified January 27, 2005

Susanne Brenner, Department of Mathematics, University of South Carolina

Additive Multigrid Theory

Faculty Meeting
Questions or comments?

Posted February 12, 2005

3:30 pm Lockett 285Meeting of the Tenured Faculty

Discuss the third year review cases.

Colloquium
Questions or comments?

Posted February 16, 2005

3:30 pm - 4:30 pm Lockett 285
Leticia Barchini, Oklahoma State University at Stillwater

Positivity of Zeta distributions and small representations

Abstract: We study positivity of zeta distributions associated to noneuclidean Jordan algebras. The values of the complex parameter s for which the distributions are positive is determined. A theory analogous to the classical theory of Riesz distributions and Wallach set is developed. We claculate the distributions when they are positive. For each value of s for which the zeta distribution is positive we build a Hilbert space. These Hilbert spaces are representations spaces for the conformal groups of the Jordan algebras involved. In this way we build an explicit family of small (non holomorphic) representations.

Harmonic Analysis Seminar
Abstract and additional information

Posted February 16, 2005

10:40 am - 11:30 am Lockett 282
Leticia Barchini, Oklahoma State University at Stillwater

Remarks on the characteristic cycle of discrete series of SU(p,q)

Control and Optimization Seminar
Questions or comments?

Posted February 21, 2005

Last modified February 25, 2005

Michael Malisoff, LSU

An Introduction to Input-to-State Stability

Geometry and Topology Seminar
Seminar website

Posted February 20, 2005

3:30 pm Lockett 285
William Schellhorn, LSU

Virtual Strings for Closed Curves with Multiple Components

Abstract: A Gauss paragraph is a combinatorial formulation of a generic closed curve with multiple components on some surface. A virtual string is a collection of circles with arrows that represent the crossings of such a curve. Every closed curve has an underlying virtual string and every virtual string has an underlying Gauss paragraph. A word-wise partition is a partition of the alphabet set of a Gauss paragraph that satisfies certain conditions with respect to the Gauss paragraph. This talk will discuss how the theory of virtual strings can be used to obtain necessary and sufficient conditions for a Gauss paragraph and word-wise partition to represent a closed curve in the 2-sphere.

Colloquium
Questions or comments?

Posted February 21, 2005

2:00 pm - 2:50 pm Lockett 277
Stephen(Steve) Bryson, NASA Ames Research Center
Candidate for Assistant Professor Position in Scientific Computation

Central Methods for Balance Laws

LSU High School Math Contest

Posted December 2, 2004

Last modified February 21, 2005

LSU High School Math Contest

This year the contest is being organized by Jacek Cygan. More information is at the **Contest Website**.

Student Seminar

Posted February 26, 2005

Last modified February 27, 2005

Michael Aristidou
Graduate Student

Consistency, Probability and Human Rationality

Intended for all students, both graduate and undergraduate.

Harmonic Analysis Seminar
Abstract and additional information

Posted February 22, 2005

10:40 am - 11:30 am Lockett 282
Boris Rubin, Lousiana State University

The Composite Cosine Transform on the Stiefel Manifold

Colloquium
Questions or comments?

Posted February 23, 2005

Last modified February 25, 2005

Yaniv Almog, Department of Mathematics/ Technion-I.I.T.
Candidate for Assistant Professor Position in Applied Math

Abrikosov lattices in finite domain

Applied Analysis Seminar
Questions or comments?

Posted October 26, 2004

Last modified February 14, 2005

Béatrice Rivière, Department of Mathematics, University of Pittsburgh

Discontinuous Galerkin methods for incompressible flows

Colloquium
Questions or comments?

Posted February 23, 2005

Last modified March 4, 2005

Petr Plechak, Mathematics Institute, University of Warwick
Candidate for Associate Professor Position in Scientific Computation

Approximation and coarse-graining of stochastic lattice systems

Student Seminar

Posted March 6, 2005

5:00 pm Math Lounge, third floor of Lockett
Martin Laubinger, LSU
Graduate Student

Card Shuffling

In "Proofs from THE BOOK," Martin Aigner and Gunter M. Ziegler discuss various methods of Card Shuffling, inclduing Top-in-at-random shuffles and riffle shuffles. Learn some basic Combinatorics or learn how to analyze random" shuffling using combinatorial reasoning. Bring your favorite deck of cards or your favorite card trick, and we'll discuss the mathematics of cards before the talk begins. There will be pizza, as usual, but all are encouraged to bring their own drinks.

Algebra and Number Theory Seminar
Questions or comments?

Posted March 4, 2005

2:30 pm - 3:30 pm Lockett 282
Augusto Nobile, Mathematics Department, LSU

Algorithmic equiresolution

Geometry and Topology Seminar
Seminar website

Posted March 1, 2005

Last modified March 7, 2005

Kee Lam, University of British Columbia

Low dimensional spinor bundles over projective spaces

Abstract: Given a k-dimensional vector bundle E over a

real projective space, the "geometric dimension problem" asks for the

maximal s such that E contains an s-dimensional trivial sub-bundle.

This problem originates from the study of immersions of projective

spaces into Euclidean space, and has been much pursued by topologists over

the last 40 years. As a general phenonmenon, k-s will be smaller

when k is divisible by a higher power of 2. In this talk we shall

examine such a phenonmenon from the view point of spinor representations,

and obtain some partial results. Some of these results turn out to be

best possible.

Colloquium
Questions or comments?

Posted March 1, 2005

Last modified March 3, 2005

Brian Hall, University of Notre Dame

The range of the heat operator

Abstract: I will consider the heat operator both on Euclidean space and on certain symmetric manifolds such as spheres and hyperbolic spaces. I will begin by reviewing the heat equation itself, which describes how temperature distributions evolve in time. Then I will consider the following question: What class of functions does one obtain by taking an arbitrary initial temperature distribution and then running the heat equation for some fixed time t? The heat equation is very smoothing: the diffusion of heat smoothes out any rough edges in the initial temperature distribtion. Thus the functions obtained must be very nice ones and I will characterize them in terms of their analyticity properties. My talk will follow a recent reprint, available at www.arxiv.org/abs/math.DG/0409308.

Harmonic Analysis Seminar
Abstract and additional information

Posted March 3, 2005

10:40 am - 11:30 am Lockett 282
Boris Rubin, Lousiana State University

The Composite Cosine Transform on the Stiefel Manifold II

Control and Optimization Seminar
Questions or comments?

Posted March 8, 2005

Last modified March 9, 2005

Rafal Goebel, University of California, Santa Barbara

Hybrid dynamical systems: solution concepts, graphical convergence, and robust stability

Hybrid dynamical systems, that is systems in which some variables evolve continuously while other variables may jump, are an active area of research in control engineering. Basic examples of such systems include a bouncing ball (where the velocity "jumps" every time the ball hits the ground) and a room with a thermostat (where the temperature changes continuously while the heater is either "on" or "off"), much more elaborate cases are studied for example in robotics and automobile design.

The talk will present some challenges encountered on the way to a successful stability theory of hybrid systems, and propose a way to overcome them. In particular, we will motivate the use

of generalized time domains, show how the nonclassical notion of graphical convergence appears to be the correct concept to treat sequences of solutions to hybrid systems, and how various other tools of set-valued and nonsmooth analysis may and need to be used.

Posted March 14, 2005

3:30 pm - 5:00 pm Keisler Lounge
Bogdan Oporowski, Mathematics Department, LSU

A Brief Introduction to Graph Theory

Algebra and Number Theory Seminar
Questions or comments?

Posted March 9, 2005

Last modified March 11, 2005

Jean Bureau, Louisiana State University

The Four Conjecture

Geometry and Topology Seminar
Seminar website

Posted March 9, 2005

Last modified March 11, 2005

Patrick Gilmer, Mathematics Department, LSU

Integral Lattices in TQFT

Probability Seminar
Questions or comments?

Posted March 11, 2005

3:40 pm - 4:30 pm Lockett 381
Habib Ouerdiane, University of Tunis

Solutions of stochastic heat equations of convolution type

Probability Seminar
Questions or comments?

Posted March 11, 2005

11:10 am - 12:00 pm Lockett 381
Habib Ouerdiane, University of Tunis

Infinite dimensional entire functions and applications to stochastic differential equations

Algebra and Number Theory Seminar
Questions or comments?

Posted March 15, 2005

3:10 pm - 4:00 pm Lockett 282
Jurgen Hurrelbrink, Mathematics Department, LSU

Quadratic Forms over Fields: The Splitting Pattern Conjecture

Geometry and Topology Seminar
Seminar website

Posted March 29, 2005

1:30 pm - 2:30 pm
Xiao-Song Lin, University of California Riverside

Representations of Braid Groups and Colored Homfly Polynomials

Virtual Seminar together with U Iowa

Faculty Meeting
Questions or comments?

Posted March 28, 2005

2:00 pm Lockett 277Meeting of the tenured and tenure-track faculty

Meeting of the tenured and tenure track faculty to discuss the possibility of a Math-Biology program.

Colloquium
Questions or comments?

Posted February 22, 2005

Last modified March 28, 2005

Alexander Figotin, University of Californina at Irvine

Nonlinear dispersive media

We study the basic properties of the Maxwell equations for nonlinear inhomogeneous media. Assuming the classical nonlinear optics representation for the nonlinear polarization as a power series, we show that the solution exists and is unique in an appropriate space if the excitation current is not too large. The solution to the nonlinear Maxwell equations is represented as a power series in terms of the solution of the corresponding linear Maxwell equations. This representation holds at least for the time period inversely proportional to the appropriate norm of the solution to the linear Maxwell equation. We derive recursive formulas for the terms of the power series for the solution including an explicit formula for the first significant term attributed to the nonlinearity. Coffee will be served in the Keisler Lounge at 3:00pm

Applied Analysis Seminar
Questions or comments?

Posted February 9, 2005

Last modified March 31, 2005

Alexander Figotin, University of Californina at Irvine

Conservative extensions of dispersive dissipative systems

Geometry and Topology Seminar
Seminar website

Posted March 29, 2005

3:30 pm - 4:30 pm Lockett 285
Khaled Qazaqzeh, LSU

Integral Bases for the SU(2)-TQFT-modules in genus one

Student Seminar

Posted March 30, 2005

5:00 pm 3rd floor Lounge, Lockett Hall
Natalia Ptitsyna, LSU
Graduate Student

Traffic Flow Along a Highway

Pizza will be served.

Posted April 4, 2005

5:00 pm James E. Keisler Mathematics Lounge
Natalia Ptitsyna, LSU
Graduate Student

Traffic Flow on a Highway

The problem will be approached in analogy to fluid flow.

Algebra and Number Theory Seminar
Questions or comments?

Posted March 15, 2005

3:10 am - 4:00 pm Lockett 282
Preeti Raman, Rice University

Hasse Principle for Classical groups

*Abstract*: I will discuss a conjecture due to Colliot-Thelene about Hasse
principle for algebraic groups defined over the function field of a curve
over a number field. I will also describe its relation to the
classification of hermitian forms over such fields.

Harmonic Analysis Seminar
Abstract and additional information

Posted March 31, 2005

10:40 am - 11:30 am Lockett 282
Daniel Sage, Mathematics Department, LSU

Racah Coefficients and Subrepresentation Semirings

Control and Optimization Seminar
Questions or comments?

Posted March 29, 2005

2:00 pm - 3:00 pm Lockett 381
Vladimir Gaitsgory, School of Mathematics and Statistics, University of South Australia

"to be announced"

Control and Optimization Seminar
Questions or comments?

Posted March 29, 2005

Last modified March 30, 2005

Vladimir Gaitsgory, School of Mathematics and Statistics, University of South Australia

Limits of Occupational Measures and Averaging of Singularly Perturbed

Colloquium
Questions or comments?

Posted March 28, 2005

Last modified April 7, 2005

Xiao-Song Lin, University of California Riverside

A folding problem of polygonal arcs in 3-space

Algebra and Number Theory Seminar
Questions or comments?

Posted April 4, 2005

Last modified April 7, 2005

Debra Czarneski, LSU

Zeta Functions of Finite Graphs

LSU Chancellor's Distinguished Lecture Series

Posted April 7, 2005

4:00 pm - 5:00 pm Design Building Auditorium
John Willis, Cambridge University
Fellow, Royal Society of London (FRS)

New Waves in Solids

Harmonic Analysis Seminar
Abstract and additional information

Posted April 11, 2005

10:40 am - 11:30 am Lockett 282
Daniel Sage, Mathematics Department, LSU

Racah Coefficients and Subrepresentation semigroups. II

Applied Analysis Seminar
Questions or comments?

Posted March 31, 2005

3:30 pm - 4:30 pm Lockett 285
John Willis, Cambridge University
Fellow, Royal Society of London (FRS)

Radon transforms in Solid Mechanics

Control and Optimization Seminar
Questions or comments?

Posted April 11, 2005

3:40 pm - 4:40 pm Lockett 381
Jesus Pascal, Universidad del Zulia, Venezuela
Telephone: 011-58-414-3602104

On the Hamilton Jacobi Bellman Equation for a Deterministic Optimal Control Problem

Colloquium
Questions or comments?

Posted March 1, 2005

Last modified April 14, 2005

Dror Bar-Natan, University of Toronto

Local Khovanov Homology

Abstract

Visit supported by Visiting Experts Program in Mathematics, Louisiana

Board of Regents LEQSF(2002-04)-ENH-TR-13

Posted April 16, 2005

3:40 pm James E. Keisler Mathematics LoungeMeeting of the Actuarial Student Association

There is a visit by a consulting actuary. Refreshments will be served.

Geometry and Topology Seminar
Seminar website

Posted March 15, 2005

Last modified April 14, 2005

Dror Bar-Natan, University of Toronto

I don't understand Khovanov-Rozansky homology

Abstract

Visit supported in part by Visiting Experts Program in Mathematics, Louisiana

Board of Regents LEQSF(2002-04)-ENH-TR-13

Colloquium
Questions or comments?

Posted April 15, 2005

11:00 am Coates 202
Martin Olbrich, UniversitÃ¤t GÃ¶ttingen

Automorphic distributions and dynamical zeta functions

Algebra and Number Theory Seminar
Questions or comments?

Posted April 11, 2005

Last modified April 14, 2005

James Madden, Mathematics Department, LSU

Ways of ordering real algebras

Harmonic Analysis Seminar
Abstract and additional information

Posted April 19, 2005

10:40 am - 11:30 am Lockett 282
Daniel Sage, Mathematics Department, LSU

Racah Coefficients and Subrepresentation Semirings III

Geometry and Topology Seminar
Seminar website

Posted April 6, 2005

Last modified April 19, 2005

Cameron Gordon, University of Texas, Austin

Knots with Unknotting Number 1 and Conway Spheres

Virtual Seminar with U Iowa.

Cameron Gordon is visiting U Iowa.

Control and Optimization Seminar
Questions or comments?

Posted April 15, 2005

3:30 pm - 4:30 pm CEBA 2150
Steven Hall, Louisiana State University, Department of Biological and Agricultural Engineering

Challenges in Measurement and Control with Biological Systems

Faculty Meeting
Questions or comments?

Posted April 20, 2005

3:40 pm Lockett 285Meeting of the tenured and tenure-track faculty

The purpose is to discuss Peter's Math Biology proposal.

Algebra and Number Theory Seminar
Questions or comments?

Posted April 20, 2005

2:40 pm - 3:30 pm Lockett 282
Helena Verrill, Mathematics Department, LSU

More modular Calabi-Yau threefolds

Geometry and Topology Seminar
Seminar website

Posted April 19, 2005

3:30 pm - 4:30 pm Lockett 285
Ambar Sengupta, Mathematics Department, LSU

Quantum Physics from Pure Logic

Harmonic Analysis Seminar
Abstract and additional information

Posted April 20, 2005

10:40 am - 11:30 am Lockett 282
Gestur Olafsson, Mathematics Department, LSU

The Image of the Heat Transform on Symmetric Spaces

Applied Analysis Seminar
Questions or comments?

Posted April 26, 2005

Last modified April 27, 2005

Blaise Bourdin, Department of Mathematics and Center for Computation & Technology, LSU

From Geman and Geman to Mumford-Shah

This talk focuses on the issues raised by an apparently simple problem: extending Geman and Geman's weak-membrane model for the segmentation of signals to that of images. I will briefly describe the problems of image and signal segmentation, then present Geman and Geman's approach. I will illustrate the issue with its intuitive multi-dimensional extension. Then, I will present how one can derive the Mumford-Shah functional as the Gamma limit of a weak-membrane energy, and then extend it to the 2D and 3D cases. Time permitting, I will then

present numerical schemes based on the Mumford-Shah problem.

Colloquium
Questions or comments?

Posted March 15, 2005

Last modified April 20, 2005

Roger Howe, Yale University

More than Mathematics for Teaching

Abstract: There has been substantial agreement among

professionals concerned with mathematics education

that the mathematical skills of the teaching corps needs

to be substantially upgraded. This is an urgent project

which will require huge effort. At the same time we

work on this, however, we should not lose sight of the

fact that there are certain jobs, in particular,

mathematics supervisor, which require substantially higher

levels of expertise than classroom teaching. Furthermore,

the system as a whole needs means to improve its understanding

of both mathematics teaching practice and curriculum.

This talk will discuss these issues, and some possible means for

addressing them.

Geometry and Topology Seminar
Seminar website

Posted March 27, 2005

Last modified April 27, 2005

Abhijit Champanerkar, University of South Alabama

Scissors congruence and Bloch invariants of hyperbolic 3-manifolds.

Abstract: I will give a background of scissors congruence in various geometries. The complexified Dehn invariant for scissors congruence in hyperbolic 3-space gives rise to invariants of hyperbolic 3-manifolds called Bloch invariants introduced by Neumann and Yang. I will talk about the variation of the Bloch invariant and its relation to the PSL A-polynomial.

Faculty Meeting
Questions or comments?

Posted April 25, 2005

3:10 pm 285 LockettMeeting of Instructors with Chair and ACI

Geometry and Topology Seminar
Seminar website

Posted April 27, 2005

Last modified May 3, 2005

Tom Mark, Southeastern Louisiana University

Heegaard Floer invariants for fibered manifolds.

Heegaard Floer invariants, introduced by Ozsvath and Szabo several years ago,

are proving to be valuable tools in low-dimensional topology: in particular the theory

reproduces and extends many results obtained previously using Seiberg-Witten and/or Donaldson gauge theory, as well as yielding

novel results. I will discuss an ongoing project, joint with Slaven Jabuka,

whose goal is to understand the Ozsvath-Szabo invariants of Lefschetz fibered 4-manifolds. A natural place to start is to study the

Heegaard Floer homology groups of 3-manifolds that fiber over the circle,

particularly in terms of the

expression of their monodromy as a product of Dehn twists. We give some

preliminary results in this

area and indicate some directions for future work.

Posted April 21, 2005

3:00 pm James Kiesler Lounge, 319 Lockett HallSpring Math Awards Ceremony

The Porcelli Scholarships, The Betti and Robert Giles Senior Mathematics Award, The David Oxley Memorial Graduate Student Teaching Award, and Certificates of Teaching Excellence (for graduate assistants) will be awarded. Refreshments will be provided.

Faculty Meeting
Questions or comments?

Posted May 3, 2005

10:00 am Allen 102Dean Ferreyra Meets with the Faculty

The Dean will speak with the Mathematics faculty about the chair's evaluation.

Control and Optimization Seminar
Questions or comments?

Posted June 17, 2005

10:30 am EE117
Li Qiu, Hong Kong University of Science and Technology

Perturbation Analysis beyond Singular Values -- A Metric Geometry on the Grassmann Manifold

Control and Optimization Seminar
Questions or comments?

Posted July 15, 2005

10:00 am EE 117
Boumediene Hamzi, University of California, Davis

The Controlled Center Dynamics

Posted June 29, 2005

8:30 am - 4:30 pm LSU Student Union BuildingInternational Student Orientation

New international students should have been notified of this meeting in the packets containing I-20 forms for visas. This meeting is required for all new international students beginning their studies at LSU. Students will be informed when and where to take the required written English test and when and where to report for a spoken English interview with a faculty member from the ESL Program. If you did not receive notification or arrive late, go to International Services at 102 Hatcher Hall to find out what is required.

Posted July 12, 2005

1:30 pm - 4:00 pm Room 285 LockettCore-1 Comprehensive Exam in Analysis

Posted June 29, 2005

Last modified July 21, 2005

Workshop & Orientation for TAs Assigned to the R2R Program

Ms. Rouse will hold a required R2R workshop on Tuesday and Thursday morning from 9 AM to noon for all TAs assigned to the R2R Program this fall semester. This includes both TAs who are assigned to tutor in the R2R Program and those assigned to teach in the R2R Program.

Posted July 12, 2005

1:30 pm - 4:00 pm Room 285 LockettCore-1 Comprehensive Exam in Topology

Posted June 29, 2005

Last modified July 12, 2005

Orientation Meeting for All New Graduate Students at LSU

This is the Graduate School's required orientation meeting for all new graduate students at LSU.

Posted June 29, 2005

Last modified July 21, 2005

Orientation & Workshop for TAs Assigned to R2R Program, Continued

Ms. Rouse's Orientation & Workshop for TAs assigned to the R2R Program will continue today from the Tuesday Orientation. This includes both TAs who are assigned to tutor in the R2R Program and those assigned to teach in the R2R Program.

Posted July 12, 2005

1:30 pm - 4:00 pm Room 285 LockettCore-1 Comprehensive Exam in Algebra

Posted July 21, 2005

9:00 am - 12:00 pm Pleasant Hall, Room 148Orientation for TAs assigned to TEACH in the R2R Program

Ms. Rouse will hold a required R2R workshop for all TAs assigned to teach in the R2R Program this fall semester. Those assigned only to tutor need not attend this meeting.

Posted June 29, 2005

9:00 am - 12:00 pm Lockett 235Orientation for TAs Assigned Duties supporting Math 1431

Ms. Clement will begin the meeting in Room 235. After about an hour or more, the group will move to the computer lab on the 3rd floor.

Posted June 29, 2005

Last modified July 21, 2005

Orientation for TAs Assigned to Math 1022

This meeting is required for those TAs who will be teaching Math 1022 labs. Meet in Lockett 237. Ms. Neal will go over the way the course is run via Maple, Semester Book, etc. At 12:45 the meeting will move to the Computer Lab in Pleasant Hall.

Posted July 12, 2005

1:00 pm - 4:30 pm Room 285 LockettCore-2 Comprehensive Exams

Core-2 Comprehensive Exams will be offered in each Core-2 subject which has been requested.

Posted August 22, 2005

10:40 am conference room, Lockett 301DMeeting of the new Assistant Professors

The meeting is for our new assistant professors but all the assistant professors are invited.

Geometry and Topology Seminar
Seminar website

Posted August 16, 2005

Last modified September 6, 2005

Nathan Broaddus, Cornell University

Non-cyclic covers of knot complements

Posted August 26, 2005

Last modified August 31, 2005

Grant Writing

The meeting is for our new assistant professors and those looking for guidance in writing their grant applications.

Posted August 24, 2005

5:00 pm James E. Keisler Lounge, Lockett 321First ASA Meeting

Organizational Meeting

Algebra and Number Theory Seminar
Questions or comments?

Posted September 12, 2005

3:30 pm - 4:30 pm 285 Lockett Hall
Jerome W. Hoffman, Mathematics Department, LSU

Koszul Duality

Geometry and Topology Seminar
Seminar website

Posted September 8, 2005

Last modified September 13, 2005

Brendan Owens, LSU

Floer homology of double branched covers

Harmonic Analysis Seminar
Abstract and additional information

Posted September 8, 2005

2:40 pm - 3:30 pm Lockett 381
Mark Davidson, Mathematics Department, LSU

Differential Recursion Relations for Laguerre Functions on Symmetric Cones

Probability Seminar
Questions or comments?

Posted September 8, 2005

3:40 pm - 4:30 pm Lockett 381
Hui-Hsiung Kuo, Mathematics Department, LSU

Interacting Fock spaces associated with probability measures

Algebra and Number Theory Seminar
Questions or comments?

Posted September 14, 2005

2:35 pm - 3:30 pm Lockett 285
Jerome W. Hoffman, Mathematics Department, LSU

Koszul Duality II

continuation of previous algebra seminar

Faculty Meeting
Questions or comments?

Posted September 9, 2005

3:40 pm Lockett 241Meeting of the Full Professors

A presentation and discussion about a promotion to full professor.

Geometry and Topology Seminar
Seminar website

Posted September 9, 2005

4:10 pm - 5:00 pm Lockett 285
Brendan Owens, LSU

Floer homology of double branched covers, Part II

Harmonic Analysis Seminar
Abstract and additional information

Posted September 18, 2005

2:40 pm - 3:30 pm Lockett 381
Mark Davidson, Mathematics Department, LSU

Differential Recursion Relations for Laguerre Functions on Symmetric Cones II

Probability Seminar
Questions or comments?

Posted September 17, 2005

3:40 pm - 4:30 pm Lockett 381
Jae Gil Choi , Louisiana State University, Baton Rouge (Visiting Faculty)

Generalized analytic Feynman integrals and conditional generalized analytic Feynman integrals on function space

Posted September 20, 2005

10:40 am - 11:30 am conference room, Lockett 301DMeeting of the new Assistant Professors

The meeting is for our new assistant professors and post doc but all the assistant professors are invited.

Probability Seminar
Questions or comments?

Posted September 19, 2005

Last modified September 26, 2005

Si Si, Aichi Prefectural University, Japan

Some apects of Poisson noise

Geometry and Topology Seminar
Seminar website

Posted September 13, 2005

4:10 pm - 5:00 pm Lockett 285
Brendan Owens, LSU

Floer homology of double branched covers, Part III

Harmonic Analysis Seminar
Abstract and additional information

Posted September 21, 2005

2:40 pm - 3:30 pm Lockett 381
Gestur Olafsson, Mathematics Department, LSU

The Image of the Segal-Bargman Transform

Colloquium
Questions or comments?

Posted September 2, 2005

3:40 pm - 4:30 pm Lockett 235
Jacob Rubinstein, Indiana University

The weighted least action principle

Faculty Meeting
Questions or comments?

Posted September 29, 2005

3:30 pm Lockett 277Meeting of the Instructors

The agenda will be to discuss teaching needs and assignments for the spring.

Algebra and Number Theory Seminar
Questions or comments?

Posted September 21, 2005

Last modified September 28, 2005

Jerome W. Hoffman, Mathematics Department, LSU

Koszul Duality III

continuation of previous algebra seminar

Probability Seminar
Questions or comments?

Posted September 20, 2005

Last modified September 22, 2005

Jeremy Becnel, Stephen F. Austin State University

Delta Function for an Affine Subspace

Geometry and Topology Seminar
Seminar website

Posted September 19, 2005

4:10 pm - 5:00 pm Lockett 285
Scott Baldridge, Louisiana State University

Symplectic 4-manifolds with prescribed fundamental group

Dissertation defense rehearsal

Posted October 3, 2005

1:40 pm - 2:30 pm Lockett 235
Tong Yi, LSU, Mathematics
Graduate student

Broadcast in sparse optical networks using fewest converters

Harmonic Analysis Seminar
Abstract and additional information

Posted September 28, 2005

2:40 pm - 3:30 pm Lockett 381
Gestur Olafsson, Mathematics Department, LSU

The Image of the Segal-Bargman Transform II

Algebra and Number Theory Seminar
Questions or comments?

Posted October 4, 2005

3:30 pm Locket 285
Marco Schlichting, Louisiana State University

Algebraic K-theory of singular varieties and a conjecture of Weibel

Probability Seminar
Questions or comments?

Posted October 5, 2005

3:40 pm - 4:30 pm Lockett 381
Jeremy Becnel, Stephen F. Austin State University

The Delta Function for an Affine Subspace II

Geometry and Topology Seminar
Seminar website

Posted October 4, 2005

4:10 pm - 5:00 pm Lockett 285
Scott Baldridge, Louisiana State University

Symplectic 4-manifolds with prescribed fundamental group, Part II

Harmonic Analysis Seminar
Abstract and additional information

Posted October 7, 2005

2:40 am - 3:30 am Lockett 381
Gestur Olafsson, Mathematics Department, LSU

The Image of the Segal-Bargman Transform III

Applied Analysis Seminar
Questions or comments?

Posted September 29, 2005

Last modified October 6, 2005

Robert Lipton, Mathematics Department, LSU

Multi-scale Stress Analysis

Many structures are hierarchical in nature and are made up of substructures distributed across several length scales. Examples include aircraft wings made from fiber reinforced laminates and naturally occurring structures like bone. From the perspective of failure initiation it is crucial to quantify the load transfer between length scales. The presence of geometrically induced stress or strain singularities at either the structural or substructural scale can have influence across length scales and initiate nonlinear phenomena that result in overall structural failure. In this presentation we examine load transfer between length scales for hierarchical structures when the substructure is known exactly or only in a statistical sense. New mathematical objects dubbed macrostress modulation functions are presented that facilitate a quantitative description of the load transfer in hierarchical structures. Several concrete physical examples are provided illustrating how these quantities can be used to quantify the stress and strain distribution inside multi-scale structures. It is then shown how to turn the problem around and use the macrostress modulation functions to design graded microstructures for control of local stress.

Algebra and Number Theory Seminar
Questions or comments?

Posted October 4, 2005

3:40 pm Locket 285
Helena Verrill, Mathematics Department, LSU

Modular forms and Ramanujan's series for 1/pi

Geometry and Topology Seminar
Seminar website

Posted October 12, 2005

Last modified October 15, 2005

Tara Brendle, Department of Mathematics, LSU

The Birman-Craggs-Johnson homomorphism and the homology of the Johnson Kernel

Harmonic Analysis Seminar
Abstract and additional information

Posted October 13, 2005

Last modified October 14, 2005

Hongyu He, Mathematics Department, LSU

Some problems concerning positive definite functions

I will give an introduction about positive definitive function and its relation to unitary representation theory, Bochner's Theorem, Gelfand-Naimark-Segal construction etc. Then I will define positive definite distributions and introduce the extension problems, square root problems and the positivity roblem of Godement. This talk will be accessible to graduate students.

Posted October 13, 2005

5:00 pm James E. Keisler Lounge, Lockett 321Actuarial Student Association Meeting

Applied Analysis Seminar
Questions or comments?

Posted October 11, 2005

3:30 pm 241 Lockett Hall
Robert Lipton, Mathematics Department, LSU

Differentiation of G-limits and weak L-P estimates for sequences

Algebra and Number Theory Seminar
Questions or comments?

Posted October 14, 2005

3:40 pm Locket 285
Pramod Achar, Mathematics Department, LSU

Koszul duality in representation theory

Geometry and Topology Seminar
Seminar website

Posted October 12, 2005

Last modified October 14, 2005

Tara Brendle, Department of Mathematics, LSU

The Birman-Craggs-Johnson homomorphism and the homology of the Johnson Kernel, Part II

Ramadan Dinner

Posted October 17, 2005

6:30 pm James E. Keisler Lounge (Room 321 Lockett)5th Traditional Ramadan Dinner

Suat Namli and his Turkish friends will generously make a Turkish Ramadan dinner for our faculty, students, and families. We look forward to another fabulous feast!

Combinatorics Seminar
Questions or comments?

Posted October 21, 2005

3:40 pm - 4:30 pm 381 Lockett Hall
Carolyn Chun, Victoria University in Wellington, New Zealand
Former LSU graduate student

Unavoidable Parallel Minors of Large, 4-Connected Graphs

Posted July 14, 2005

Last modified October 17, 2005

Graduate Student Day & Orientation Conference

Harmonic Analysis Seminar
Abstract and additional information

Posted October 20, 2005

2:40 pm - 1:30 pm Lockett 381
Boris Rubin, Lousiana State University

The generalized Busemann-Petty problem on sections of convex bodies.

The generalized Busemann-Petty problem asks whether origin-symmetric convex bodies in $R^n$ with smaller $i$-dimensional central sections necessarily have smaller volume. This problem has a long history. For $i=2$ and $3$, the answer is still unknown if $n>4$. The problem is intimately connected with the spherical Radon transform. I am planning to give a survey of known results and methods, discuss some generalizations and difficulties.

Combinatorics Seminar
Questions or comments?

Posted October 28, 2005

3:40 pm - 4:30 pm 381 Lockett Hall
Brian Beavers, Mathematics Department, LSU
Graduate student

Finding Cycles of All Sizes in Large Graphs and Matroids

Algebra and Number Theory Seminar
Questions or comments?

Posted October 15, 2005

Last modified November 2, 2005

Jorge Morales, Mathematics Department, LSU

Quaternion orders, ternary quadratic forms and hyperelliptic curves

Geometry and Topology Seminar
Seminar website

Posted November 1, 2005

4:10 pm - 5:00 pm Lockett 285
Tara Brendle, Department of Mathematics, LSU

The Birman-Craggs-Johnson homomorphism and the homology of the Johnson Kernel, Part III

Harmonic Analysis Seminar
Abstract and additional information

Posted October 27, 2005

Last modified October 28, 2005

Boris Rubin, Lousiana State University

The generalized Busemann-Petty problem on sections of convex bodies.II

The generalized Busemann-Petty problem asks whether origin-symmetric convex bodies in $R^n$ with smaller $i$-dimensional central sections necessarily have smaller volume. This problem has a long history. For $i=2$ and $3$, the answer is still unknown if $n>4$. The problem is intimately connected with the spherical Radon transform. I am planning to give a survey of known results and methods, discuss some generalizations and difficulties.

Faculty Meeting
Questions or comments?

Posted November 9, 2005

1:40 pm Lockett 284Meeting of the Faculty

Update on the post Katrina budget situation.

Colloquium
Questions or comments?

Posted September 28, 2005

Last modified October 19, 2005

Richard Anderson, Louisiana State University (Emeritus)
Emeritus Boyd Professor.

My Three Lives in Mathematics

Abstract

Refreshments will be served in the James E. Keisler Lounge one half hour before the talk.

Applied Analysis Seminar
Questions or comments?

Posted October 6, 2005

Last modified October 18, 2005

Itai Shafrir, Department of Mathematics, Technion - Israel Institute of Technology

On the distance between homotopy classes of $S^1$-valued maps

Abstract: Certain Sobolev spaces of $S^1$-valued functions can be written as a disjoint union of homotopy classes. The problem of finding the distance between different homotopy classes in such spaces is considered. In particular several types of one-dimensional and two-dimensional domains are studied. Lower bounds are derived for these distances. Furthermore, in many cases it is shown that the lower bounds are sharp but are not achieved.

Algebra and Number Theory Seminar
Questions or comments?

Posted November 9, 2005

3:40 pm Locket 285
Jorge Morales, Mathematics Department, LSU

Quaternion orders, ternary quadratic forms and hyperelliptic curves, part II

Harmonic Analysis Seminar
Abstract and additional information

Posted October 28, 2005

2:40 pm - 3:30 pm 338 Johnston Hall
Eric Todd Quinto, Mathematics Department, Tufts University

LIMITED DATA TOMOGRAPHY AND MICROLOCAL ANALYSIS

In this talk, we will describe limited data tomography problems that come up in applications, including electron microscopy and diagnostic radiology. In each of these tomography problems, certain singularities (boundaries, cracks, etc.) of the object are easily visible in the reconstruction and others are not. We will show how this phenomenon is reflected in the singular functions for the corresponding tomographic problems. A theoretical framework, microlocal analysis, will be given to explain the phenomenon, and we will include an elementary introduction to this idea. If time, we will outline our basic algorithm.

Algebra and Number Theory Seminar
Questions or comments?

Posted November 9, 2005

3:40 pm Locket 285
Pramod Achar, Mathematics Department, LSU

How I learned to stop worrying and love stacks

Algebra and Number Theory Seminar
Questions or comments?

Posted November 4, 2005

Last modified November 9, 2005

Planning meeting to decide graduate courses in algebra for next year

Geometry and Topology Seminar
Seminar website

Posted November 14, 2005

4:10 pm - 5:00 pm Lockett 285
Khaled Qazaqzeh, LSU

Integral Bases for Certain TQFT-Modules of the Torus

Harmonic Analysis Seminar
Abstract and additional information

Posted October 28, 2005

2:40 pm - 3:30 pm 381 Lockett Hall
Ricardo Estrada, Mathematics Department, LSU

Average local behavior of functions and Fourier Series

Probability Seminar
Questions or comments?

Posted November 9, 2005

Last modified November 22, 2005

Jeremy Becnel, Stephen F. Austin State University

An Infinite Dimensional Integral Identity for the Segal-Bargmann Transform

Applied Analysis Seminar
Questions or comments?

Posted November 11, 2005

Last modified November 23, 2005

Corey Redd, Department of Mathematics, LSU

Capturing Deviation from Ergodicity at Different Scales

Many researchers are interested in the topics of ergodicity and mixing, and

more importantly in methods by which these quantities can be measured. As

these properties may register differently based upon the space under

observation, it is also important that any measure be able to be applied at

different scales. Up to now, an energy based measure (L-2 norm) has

traditionally been used to assess the ergodicity and/or mixing of a system.

This method is less than ideal in part due to its non-uniqueness and

difficulty with assessment on varying scales. I will present a Lagrangian

based, multiscale method for measuring ergodicity that will attempt to address

these issues.

This talk will begin with background information on ergodicity and mixing and

the relationship between the two. From the abstract definitions, I will

derive an equation that will measure ergodicity on multiple scales. Following

that, results will be presented from some initial computations of the metric

on several test maps. Finally, computational issues will be discussed that

are specific to measuring ergodicity, as well as in comparison to a mixing

measure.

Algebra and Number Theory Seminar
Questions or comments?

Posted December 2, 2005

3:30 pm Locket 285
Pramod Achar, Mathematics Department, LSU

Stacks II

Before the talk, we will have a 15 minute discussion of graduate courses for next year. Graduate students welcome.

Geometry and Topology Seminar
Seminar website

Posted November 20, 2005

4:10 pm - 5:00 pm 285 Lockett
Atle Hahn, University of Bonn and LSU

Towards a path integral derivation of the Reshetikhin-Turaev invariants

Colloquium
Questions or comments?

Posted November 30, 2005

Last modified December 1, 2005

Changyou Wang, University of Kentucky
Candidate for an Associate/Full Professor Position in Partial Differential Equations

Calculus of variations in L-infinity and Aronsson's equation

ABSTRACT: In this talk, I will discuss the basic issues for L-infinity variational problems, where one considers minimization problem of the supernorm functional: $$F(u,Omega)=esssup H(x,u(x),nabla u(x)), uin W^{1,infty}(Omega).$$ We will survey some recent developments on: (1) the existence of absolute minimizers (AM's), (2) the PDE characterization of AMs (i.e. Aronsson's equation or AE), (3) the relationship between AM and AE, and (4) regularity and uniqueness of AE. We will also discuss its connection with image interpolation, random game theory.

Posted December 11, 2005

12:00 pm Keisler LoungeChristmas Party

The sign up sheet for dishes is on Karen's door (Lockett 304) not on the mail

room door. Please sign up for a dish. We will have two turkeys (one baked

and one fried) as well as the shared dishes.

Algebra and Number Theory Seminar
Questions or comments?

Posted December 9, 2005

Last modified December 18, 2005

Marie-JosÃ© Bertin, UniversitÃ© Pierre et Marie Curie, Paris

Lehmer's problem and Mahler measure

Posted December 27, 2005

1:30 pmCore-1 Analysis Comprehensive/PhD Qualifying Exam

This is the first of the three component tests of the Core-1 part of the PhD Qualifying Exam. If unsure weather or not you are required to take this test, please consult the Graduate Director and read the link to sign up.

Posted December 27, 2005

1:00 pm 285 Lockett Originally scheduled for 1:00 pmCore-1 Topology Comprehensive/PhD Qualifying Exam

This is the second of the three component tests of the Core-1 part of the PhD Qualifying Exam. If unsure weather or not you are required to take this test, please consult the Graduate Director and read the link to sign up.

Posted December 27, 2005

1:00 pm 285 LockettCore-1 Topology Comprehensive/PhD Qualifying Exam

This is the second of the three component tests of the Core-1 part of the PhD Qualifying Exam. If unsure weather or not you are required to take this test, please consult the Graduate Director and read the link to sign up.

Posted December 27, 2005

1:30 pmCore-1 Algebra Comprehensive/PhD Qualifying Exam

This is the third of the three component tests of the Core-1 part of the PhD Qualifying Exam. If unsure weather or not you are required to take this test, please consult the Graduate Director and read the link to sign up.

Posted December 27, 2005

12:30 pm 285 LockettCore-2 Components (all) of the PhD Qualifying Exam

These are the Core-2 component parts of the PhD Qualifying Exam. If unsure weather or not you are required to take one of these tests, please consult the Graduate Director and read the link to sign up.

Algebra and Number Theory Seminar
Questions or comments?

Posted January 23, 2006

2:30 pm Locket 285
Marco Schlichting, Louisiana State University

Stabilized Witt groups, Ranicki's lower L groups, and blow ups

Geometry and Topology Seminar
Seminar website

Posted January 24, 2006

Last modified January 26, 2006

Daniel C. Cohen, Mathematics Department, LSU

tba

Colloquium
Questions or comments?

Posted January 13, 2006

Last modified January 16, 2006

David Damanik, California Institue of Technology
Candidate for Full Professor Position

Structures of intermediate complexity and quantum dynamics

Abstract: We discuss the spreading properties of quantum particles in structures of intermediate complexity. Examples of interest include quasicrystals. We carry out a complete analysis for the Fibonacci Hamiltonian, which is the most prominent object in the mathematics and physics literature on quasicrystals.

Faculty Meeting
Questions or comments?

Posted January 27, 2006

1:30 pm Lockett 137Meeting of the tenured and tenure-track faculty

Candidate discussion.

Algebra and Number Theory Seminar
Questions or comments?

Posted February 1, 2006

2:30 pm Locket 276
James Madden, Mathematics Department, LSU

Orderings of commutative rings with nilpotents

Posted January 18, 2006

4:00 pm Keisler LoungeActuarial Student Association Meeting

Spring Organizational Meeting of the ASA

Colloquium
Questions or comments?

Posted February 3, 2006

3:00 pm - 4:00 pm Lockett 284
Dana Scott, Carnegie Mellon University

Parametric Sets and Virtual Classes

Geometry and Topology Seminar
Seminar website

Posted January 26, 2006

Last modified February 1, 2006

Neal Stoltzfus, Mathematics Department, LSU

Root Posets and Temperley-Lieb Algebras

Harmonic Analysis Seminar
Abstract and additional information

Posted January 24, 2006

3:40 pm - 4:30 pm Lockett 381
Gestur Olafsson, Mathematics Department, LSU

Determining Intertwining Operators

Applied Analysis Seminar
Questions or comments?

Posted January 23, 2006

Last modified February 7, 2006

Robert B. Haber, Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign

Space-time Discontinuous Galerkin Methods for Multi-scale Solid Mechanics

Geometry and Topology Seminar
Seminar website

Posted February 8, 2006

4:40 pm - 5:30 pm Lockett 284
Ben McReynolds, UT Austin

Separable subgroups of mapping class groups

Harmonic Analysis Seminar
Abstract and additional information

Posted February 8, 2006

3:40 pm - 4:30 pm Lockett 381
Gestur Olafsson, Mathematics Department, LSU

Determining Intertwining Operators II

Posted February 17, 2006

3:40 pm - 4:30 pm Lockett 232
Martin Laubinger, LSU
Graduate Student

Cartesian Closedness and Diffeological Spaces

This seminar is intended to be widely accessible to graduate students and

faculty, with a minimum of background assumed. During this semester we will

primarily develop the basic theory of diffeological spaces.

Control and Optimization Seminar
Questions or comments?

Posted January 30, 2006

Last modified February 16, 2006

Patrick De Leenheer, Department of Mathematics, University of Florida

Bistability and Oscillations in the Feedback-Controlled Chemostat

The chemostat is a biological reactor used to study the dynamics of species competing for nutrients. If there are n>1 competitors and a single nutrient, then at most one species survives, provided the control variables of the reactor are constant. This result is known as the competitive exclusion principle. I will review what happens if one of the control variables--the dilution rate--is treated as a feedback variable. Several species can coexist for appropriate choices of the feedback. Also, the dynamical behavior can be more complicated, exhibiting oscillations or bistability.

Colloquium
Questions or comments?

Posted February 15, 2006

3:30 pm - 4:30 pm Lockett 284
Dorin Dutkay, Rutgers University

Wavelets and self-similarity

In the past twenty years the theory of wavelets has proved to be extremely successful, with important applications to image compression and signal processing. The theory involves the consctruction of orthonormal bases in euclidian spaces generated by translations and dilations. A key feature of these consctructions is the property of self-similarity. We exploit this property and, using operator algebra methods, we offer a wider perspective on the subject. We show how techniques from the theory of wavelets can be used in many other contexts such as fractals, dynamical systems, or endomorphisms of von Neumann algebras. Thus, we can construct rich multiresolution structures with scaling functions and wavelets on fractals, solenoids, super-wavelets for Hilbert spaces containing L^2(R), or harmonic bases on fractal measures.

Research Presentation

Posted February 22, 2006

10:00 am 381 Lockett Hall
Patrick De Leenheer, Department of Mathematics, University of Florida

Michael Malisoff, LSU

An Informal Seminar on Monotone Systems

Colloquium
Questions or comments?

Posted February 17, 2006

11:40 am - 12:30 pm Johnston 338
Susanne Brenner, Department of Mathematics, University of South Carolina

Fast Solvers for $C^0$ Interior Penalty Methods

In this talk we will discuss fast solvers for $C^0$ interior penalty

methods for fourth order elliptic boundary value problems. We will

give a brief introduction to $C^0$ interior penalty methods, and

present convergence results for the V-cycle, W-cycle and F-cycle

multigrid algorithms, and also condition number estimates for

two-level additive Schwarz preconditioners. Numerical results will

also be reported.

Colloquium
Questions or comments?

Posted February 15, 2006

Last modified February 23, 2006

Dave Larson, Texas A&M

Wavelet Sets and Interpolation

A wavelet is a special case of a vector in a separable Hilbert space that generates a basis under the action of a collection, or "system", of unitary operators defined in terms of translation and dilation operations. We will begin by describing an operator-interpolation approach to wavelet theory using the local commutant of a unitary system that was developed by the speaker and his collaborators a few years ago. This is really an abstract application of the theory of operator algebras, mainly von Neumann algebras, to wavelet theory. The concrete applications of oeprator-interpolation to wavelet theory include results obtained and partially published results, and some brand new results, that are due to this speaker and his former and current students, and other collaborators.

Colloquium
Questions or comments?

Posted February 16, 2006

Last modified February 22, 2006

Chris Hruska, University of Chicago
Candidate for an Assistant Professor Position in Topology

Nonpositively curved spaces with isolated flats

Abstract: In the 1980s Gromov popularized the study of finitely generated groups using geometric techniques. He introduced and popularized notions of negative and nonpositive curvature in group theory, which have been highly influential in shaping the field of geometric group theory over the last two decades. The theory of negatively curved groups is extremely rich and exhibits many strong stability properties. On the other hand, the theory of nonpositively curved groups is much more delicate and less understood. In my thesis, I introduced the class of nonpositively curved groups with ``isolated flats''. These groups occur naturally throughout group theory and low-dimensional topology and can be considered as the simplest nontrivial generalization of a negatively curved group. They have many properties in common with negatively curved groups. In particular, in joint work with Bruce Kleiner, I have shown that such a group is relatively hyperbolic with respect to virtually abelian subgroups.

Harmonic Analysis Seminar
Abstract and additional information

Posted February 2, 2006

Last modified February 22, 2006

See program announcement

Workshop in Harmonic Analysis and Fractal Geometry

http://www.math.lsu.edu/~olafsson/workshop06.html

Colloquium
Questions or comments?

Posted February 16, 2006

Last modified February 21, 2006

(Jennifer)Suzanne Hruska, Indiana University
Candidate for an Assistant Professor Position in Analysis

``The Dynamics of Polynomial Skew Products of C^2''

Our goal is to develop and use rigorous computer investigations to study the dynamics of polynomial skew products of C^2; i.e., maps of the form f(z,w) = (p(z), q(z,w)), where p and q are polynomials of the same degree d >= 2. The skew products we are most interested in studying are those maps which are Axiom A. Such maps have the ``simplest'' chaotic dynamics, and stability under small perturbation, thus are amenable to computer investigation. In this talk, we will describe a new class of skew products with interesting dynamics, and sketch how we have proven using rigorous computer techniques that sample maps from this class are Axiom A. This leads us to conjecture that all (or nearly all) maps in this class are Axiom A.

Colloquium
Questions or comments?

Posted February 17, 2006

3:40 pm - 4:30 pm Lockett 284
Li-yeng Sung, University of South Carolina
Candidate for Possible Senior Professor Position

Fokas Transforms

Just as initial value problems for evolution partial differential equations in one spatial variable can be solved by means of the Fourier transform on the full-line, initial-boundary value problems on the half-line can be solved using Fokas transforms. In this talk we will present unified derivations of these transforms and discuss their applications to linear and nonlinear partial differential equations.

Colloquium
Questions or comments?

Posted February 23, 2006

1:40 pm - 2:30 pm Lockett 277
Olga Plamenevskaya, Massachusetts Institute of Technology
Candidate for Assistant Professor Position in Topology

Heegaard Floer theory, knots, and contact structures

Abstract: Heegaard Floer theory is one of the most significant recent developments in low-dimensional topology. Reminiscent of gauge theory, it provides powerful invariants for 3-manifolds. Although defined via holomorphic disks, these 3-manifold invariants have an unexpected connection to combinatorial knot invariants developed by Khovanov. I will outline the construction of Heegaard Floer and Khovanov theories, as well as their relation (due to Ozsvath and Szabo). Then, I will expand these results to the world of contact topology, providing a new invariant for transversal knots, and bringing the correspondence between the two theories to a new level.

Colloquium
Questions or comments?

Posted February 23, 2006

3:40 pm - 4:30 pm Lockett 284
Alexander Retakh, University of Texas at Arlington
Candidate for Assistant Professor Position in Algebra

Structure Theory and Representations of Conformal Algebras

The last several decades saw a great deal of interaction between representation theory and modern mathematical physics. The search for rigorous algebraic formalism in areas such as string theory and conformal field theory led Kac and others to the concept of a conformal algebra. Apart from their physical applications, conformal algebras also turned out to be extremely useful in the study of infinite-dimensional Lie algebras. I will define conformal algebras, explain their relation to vertex algebras and superconformal algebras of string theory, the connection to Hamiltonian formalism in calculus of variations, and describe recent progress and conjectures in the field.

Algebra and Number Theory Seminar
Questions or comments?

Posted January 31, 2006

Last modified February 14, 2006

Edith Adan-Bante, University of Southern Mississippi Gulf Coast

On Conjugacy Classes and Finite Groups

Geometry and Topology Seminar
Seminar website

Posted February 23, 2006

4:40 pm - 5:30 pm Lockett 284
Matilde Lalin, University of British Columbia

Some aspects of the Multivariable Mahler Measure

Faculty Meeting
Questions or comments?

Posted March 3, 2006

8:30 am Lockett 6 (in basement)
Guillermo Ferreyra, Mathematics Department, LSU

Faculty Forum with Dean Ferreyra

Colloquium
Questions or comments?

Posted February 27, 2006

Last modified March 6, 2006

Chris Larsen, WPI and California Institute of Technology

Epsilon Stability - A new tool for studying local minimizers

Algebra and Number Theory Seminar
Questions or comments?

Posted March 2, 2006

2:30 pm Locket 276
Juan Marco Cervino, University of Goettingen

The Minkowski-Siegel formula for quadratic bundles on curves

Geometry and Topology Seminar
Seminar website

Posted March 9, 2006

4:40 pm - 5:30 pm Lockett 284
Patrick Gilmer, Mathematics Department, LSU

Lollipop trees in TQFT

Faculty Meeting
Questions or comments?

Posted March 13, 2006

3:40 pm Lockett 15Meeting of the tenured and tenure-track faculty

Discussion of two senior candidates. A vote will follow.

Colloquium
Questions or comments?

Posted March 17, 2006

3:40 pm - 4:30 pm Lockett 284
Leonid Berlyand, Department of Mathematics, Penn State University

The discrete network approximation and asymptotic fictitious fluid approach in modeling of highly packed composites

Colloquium
Questions or comments?

Posted March 17, 2006

3:40 pm - 4:30 pm Lockett 284
Achim Jung, Department of Computer Science, University of Birmingham, England

Semantic domains, or the curious incapability of mathematics in computer science

Abstract: In the mid-60s, Christopher Strachey and others begun a programme of describing the meaning of computer programs in a mathematical style. The approach is known as denotational semantics. From the beginning, Strachey was aware that set theory is not a good basis for such an endeavour, but it was not until Dana Scott developed his domain theory several years later that there was any mathematical basis at all. In this talk, I will try to explain why sets - without further structure - do not reflect well the realities of computing, and I will try to motivate why the domains of Scott, which carry an order and a topology, do a better job. There are several further computational phenomena which required Scott to restrict the concept of domain even further, but once this is done, a fairly pleasing and flexible semantic universe is obtained. In the spirit of this lecture, I will not dwell too much on the successes that domain theory has had in modelling computation, but rather present those phenomena which have resisted being incorporated into the model. One issue that is still not completely understood is the treatment of exact real numbers. On the one hand, real numbers seem ideally suited for a topological model but recent work by Escardo, Hofmann, and Streicher suggests that there is an inherent conflict between efficiency of the programming language and faithfulness to the mathematical concept.

Colloquium
Questions or comments?

Posted March 21, 2006

3:40 pm - 4:30 pm Lockett 284
Achim Jung, Department of Computer Science, University of Birmingham, England

Semantic domains, or the curious inapplicability of mathematics in computer science

ABSTRACT: In the mid-60s, Christopher Strachey and others begun a

programme of describing the meaning of computer programs in a mathematical

style. The approach is known as denotational semantics. From the

beginning, Strachey was aware that set theory is not a good basis for such

an endeavour, but it was not until Dana Scott developed his domain

theory several years later that there was any mathematical basis at all.

In this talk, I will try to explain why sets - without further structure -

do not reflect well the realities of computing, and I will try to motivate

why domains of Scott, which carry an order and a topology, do a better job.

There are several further computational phenomena which required Scott to

restrict the concept of domain even further, but once this is done, a

fairly pleasing and flexible semantic universe is obtained.

In the spirit of this lecture, I will not dwell too much on the successes

that domain theory has had in modelling computation, but rather present

those phenomena which have resisted being incorporated into the model. One

issue that is still not completely understood is the treatment of exact

real numbers. On the one hand, real numbers seem ideally suited for a

topological model but recent work by Escardo, Hofmann, and Streicher

suggests that there is an inherent conflict between efficiency of the

programming language and faithfulness to the mathematical concept.

Special Guest Lecture (CCT)

Posted March 21, 2006

3:30 pm 338 Johnston Hall
Bertil Gustafsson, University of Uppsala

High order one-step difference methods for wave propagation

Harmonic Analysis Seminar
Abstract and additional information

Posted March 14, 2006

3:40 pm - 4:30 pm Lockett 381
Gestur Olafsson, Mathematics Department, LSU

Determining Intertwining Operators III

Applied Analysis Seminar
Questions or comments?

Posted March 8, 2006

Last modified March 21, 2006

Ken Mattsson, Center for Integrated Turbulence Simulations, Stanford University

Towards time stable and high order accurate schemes for realistic applications

For wave propagation problems, the computational domain is often large compared to the wavelengths, which means that waves have to travel long distances during long times. As a result, high order accurate time marching methods, as well as efficient high order spatially accurate schemes (at least 3rd order) are required. Such schemes, although they might be G-K-S stable (convergence to the true solution as delta x -> 0), may exhibit a non-physical growth in time, for realistic mesh sizes. It is therefore important to device schemes, which do not allow a growth in time that is not called for by the differential equation. Such schemes are called strictly (or time) stable. We are particularly interested in efficient methods with a simple data structure that parallelize easily on structured grids. High order accurate finite difference methods fulfill these requirements. Traditionally, a successful marriage of high order accurate finite difference and strict stability was a complicated and highly problem dependent task, especially for realistic applications. The major breakthrough came with the construction (Kreiss et al., in 1974) of non-dissipative operators that satisfy a summation by parts (SBP) formulation, and later with the introduction of Â a Â specific procedure (Carpenter et al., in 1994) to impose boundary conditions as a penalty term, referred to as the Simultaneous Approximation Term (SAT) method. The combination of SBP and SAT naturally leads to strictly stable and high order accurate schemes for well-posed linear problems, on rectangular domains. During the last 10 years, the methodology has been extended to handle complex geometries and non-linear problems. In this talk I will introduce the original SBP and SAT concepts, and further discuss the status today and the focus on future applications. In particular I will discuss some recent developments towards time stable and accurate hybrid combinations of structured and unstructured SBP schemes, making use of the SAT method.

Posted March 18, 2006

Last modified March 24, 2006

First Louisiana-Texas-Topology-Retreat

Speakers: Tara Brendle (LSU),

Abhijit Champanerkar (USA),

Tim Cochran (Rice),

Stefan Friedl (Rice),

Gregor Masbaum (Paris VII),

Neal Stoltzfus (LSU)

Detailed Program

Algebra and Number Theory Seminar
Questions or comments?

Posted March 22, 2006

2:40 pm Locket 276
Jerome W. Hoffman, Mathematics Department, LSU

Koszul duality for multigraded algebras

Colloquium
Questions or comments?

Posted March 9, 2006

3:40 pm - 4:30 pm Johnston 338
Qian-Yong Chen, University of Minnesota
Candidate for Assistant Professor Position

A new basis for spectral methods

Abstract: The spectral methods have been very successful in many applications, such as weather prediction, seismic imaging and etc. The main reason for their success is the exponential accuracy: For smooth problems on simple domains, spectral methods can achieve 10 digits accuracy, compared to 2 ~ 3 digits for finite difference or finite element methods with similar computational cost. However, there are still two issues with the Legendre/Chebyshev polynomials based spectral methods for non-periodic problems: the time-step size and the number of points needed to resolve a wave. In this talk, I address this two issues by using a new basis, the prolate spheroidal wave functions (PSWFs), for spectral methods. The relevant approximation theory will be covered. The advantage of the new basis over Legendre/Chebyshev polynomials will be showed for marginally resolved broadband solutions.

Probability Seminar
Questions or comments?

Posted March 8, 2006

Last modified March 27, 2006

K Saito, Meijo University

Constructions of stochastic processes associated

Harmonic Analysis Seminar
Abstract and additional information

Posted March 24, 2006

3:40 pm - 4:30 pm Lockett 381
Boris Rubin, Lousiana State University

On MATH 7390-1: Applied Harmonic Analysis (Fall 2006)

Abstract. I am planning to review a tentative content of this course which will be suggested to graduate students in Fall 2006. This is an introductory course in the theory of the Radon transform, one of the main objects in integral geometry and modern analysis. Topics to be studied include fractional integration and differentiation of functions of one and several variables, Radon transforms in the n-dimensional Euclidean space and on the unit sphere, selected aspects of the Fourier analysis in the context of its application to integral geometry and tomography. The talk will be illustrated by examples of mathematical problems that fall into the scope of this course.

Posted March 21, 2006

8:45 am - 4:30 pm Hill Memorial Library1st Louisiana Joint Workshop for Academia and Industry.

Posted March 21, 2006

9:00 am - 12:00 pm Middleton Library, Conference Room 241 A1st Louisiana Joint Workshop for Academia and Industry.

Colloquium
Questions or comments?

Posted March 24, 2006

Last modified March 27, 2006

Christopher King, Northeastern University

Mathematical problems in quantum information theory

Algebra and Number Theory Seminar
Questions or comments?

Posted March 27, 2006

2:40 pm Locket 276
Marco Schlichting, Louisiana State University

Koszul duality and the derived category of coherent sheaves on a quadric (after Kapranov)

Harmonic Analysis Seminar
Abstract and additional information

Posted March 28, 2006

3:40 pm - 4:30 pm Lockett 381
Genkai Zhang, Department of Mathematics, Gothenburg University, Sweden

Radon, cosine and sine transforms on Grassmannians.

Posted March 29, 2006

6:00 pm James E. Keisler Lounge Lockett 321
Lawrence Smolinsky, Mathematics Department, LSU

Ancient Constructions and the Modern Formulation

This talk is part I of "Geometric Constructions with Ellipses." A description of the talk is posted ** here.** Part II will be given on April 19th by Aliska Gibbins.

Faculty Meeting
Questions or comments?

Posted March 27, 2006

Last modified April 6, 2006

Meeting of the tenured and tenure-track faculty

The topics of the meeting will be a discussion of the graduate program and VIGRE.

Computing the Future Lecture sponsored by CCT

Posted April 13, 2006

11:00 am 338 Johnston Hall
D. C. Sorensen, Rice University, Department of Computation and Applied Mathematics

Gramian Based Model Reduction for Dynamical Systems

Here is the abstract. Please come for refreshments at 10:30 AM.

Algebra and Number Theory Seminar
Questions or comments?

Posted April 5, 2006

Last modified April 6, 2006

Jeonghun Kim, Mathematics Department, LSU
LSU graduate student of Robert Perlis

Arf equivalence of quadratic fields

Note this is an hour later than the usual algebra seminar time.

Posted March 29, 2006

Last modified April 12, 2006

Aliska Gibbins, Tulane

Elliptic Constructions

This talk is part II of "Geometric Constructions with Ellipses." A description of the talk is posted ** here.** Part I was given on April 5th by Larry Smolinsky.

Colloquium
Questions or comments?

Posted April 10, 2006

3:40 pm - 4:30 pm Lockett 284
Atle Hahn, University of Bonn and LSU

Towards a path integral derivation of 3-manifold quantum invariants

Abstract: The study of the heuristic Chern-Simons path integral by E. Witten inspired (at least) two general approaches to quantum topology. Firstly, the perturbative approach based on the CS path integral in the Landau gauge and, secondly, the quantum group approach by Reshetikhin and Turaev. While for the first approach the relation to the CS path integral is obvious for the second approach it is not. In particular, it is not clear if and how one can derive the relevant R-matrices or quantum 6j-symbols directly from the CS path integral. In my talk, I will sketch a strategy that should lead to a clarification of this issue in the special case where the base manifold is of product form. This strategy is based on the torus gauge fixing procedure introduced by Blau and Thompson for the study of the partition function of CS models. I will show that the formulas of Blau and Thompson can be generalized to Wilson lines and that the evaluation of the expectation values of these Wilson lines leads to the same state sum expressions in terms of which shadow invariant of Turaev is defined. Finally, I will sketch how one can obtain a rigorous realization of the path integral expressions appearing in this treatment.

Applied Analysis Seminar
Questions or comments?

Posted January 26, 2006

Last modified March 11, 2006

Yaniv Almog, Department of Mathematics, LSU

Boundary layers in superconductivity and smectic liquid crystals

CCT Computing the Future Series

Posted April 19, 2006

Last modified April 20, 2006

James Lambers, Petroleum Engineering, Stanford

A Multi-Pronged Research Strategy for Numerical Solution of Variable-Coefficient PDE

The abstract is posted here.

Algebra and Number Theory Seminar
Questions or comments?

Posted April 5, 2006

Last modified April 6, 2006

Jeonghun Kim, Mathematics Department, LSU
LSU graduate student of Robert Perlis

Arf equivalence of quadratic fields, Part II

Part I, given the previous week, is related to this talk, but not essential for understanding part II.

Posted April 13, 2006

Last modified April 24, 2006

Hank Frantz, Blue Cross Blue Shield of Louisiana

Actuarial Mathematics: On the Job Examples

The speaker is an Associate Actuary BCBS of Louisiana. He will discuss mathematics from three examples in his work.

Geometry and Topology Seminar
Seminar website

Posted April 19, 2006

1:30 pm - 2:30 pm Life Science A663
David Futer, Michigan State University

"Geometry and combinatorics of arborescent link complements."

Virtual Seminar together with U Iowa

Report on 1000-level Mathematics Courses

Posted April 20, 2006

3:40 pm Lockett 285Report on the Computer-based and Large Lecture Courses

Results from the fall semester assessments.

Colloquium
Questions or comments?

Posted April 21, 2006

Last modified April 26, 2006

Tomasz Przebinda, University of Oklahoma

Invariant Eigen-Distributions and Howe's Correspondence

Abstract: The notions of a group reduction, a character and an invariant eigen distribution play a crucial role in Harmonic Analysis on a Real Reductive Group. The classical groups may be organized in pairs. This leads to a correspondence of representations, which is compatible with Capelli identities. We shall explain a recent microlocal construction of invariant eigen distributions which is also compatible with Capelli identities. The hope is that this construction explains the behavior of the characters under Howe's correspondence.

Harmonic Analysis Seminar
Abstract and additional information

Posted April 25, 2006

2:40 pm - 3:30 pm Lockett 381
Tomasz Przebinda, University of Oklahoma

Orbital Integrals and Howe's Correspondence

Abstract. In this talk I shall explain the construction of the invariant eigendistributions in more detail. In particular, weâ€™ll show how it relates Harish-Chandraâ€™s orbital on the Lie algebras via and the moment maps.

Applied Analysis Seminar
Questions or comments?

Posted April 13, 2006

3:30 pm - 4:30 pm Lockett, 235
Anna Zemlyanova, Department of Mathematics, LSU

The problem on reinforcement and repair of a hole in a plate with a patch

It is known that holes in a thin plate create undesirable stress concentration and can lead to the formation of cracks from the edge of the hole. I will consider the mechanical problem of repair of the hole by a two-dimensional patch. This problem will be reduced to the system of three singular integral equations. Uniqueness of the solution of the system will be proved. Numerical results will be given for some particular cases.

Algebra and Number Theory Seminar
Questions or comments?

Posted March 13, 2006

Last modified April 5, 2006

Edith Adan-Bante, University of Southern Mississippi Gulf Coast

On Characters and Finite Groups

Posted April 18, 2006

3:30 pm James Kiesler Lounge, 319 Lockett HallSpring Math Awards Ceremony

The Porcelli Scholarships, The Betti and Robert Giles Senior Mathematics Award, The David Oxley Memorial Graduate Student Teaching Award, and Certificates of Teaching Excellence (for graduate assistants) will be awarded. Refreshments will be provided.

Geometry and Topology Seminar
Seminar website

Posted April 16, 2006

4:40 pm - 5:30 pm Lockett 284
Alissa Crans, University of Chicago/Loyola Marymount University

Self-Distributivity in Coalgebras

Abstract: Self-distributive binary operations have appeared extensively in knot theory in recent years, specifically in algebraic structures called `quandles.' A quandle is a set equipped with two binary operations satisfying axioms that capture the essential properties of the operations of conjugation in a group. The self-distributive axioms of a quandle correspond to the third Reidemeister move in knot theory. Thus, quandles give a solution to the Yang-Baxter equation, which is an algebraic distillation of the third Reidemeister move. We formulate analogues of self-distributivity in the categories of coalgebras and Hopf algebras and use these to construct additional solutions to the Yang-Baxter equation.

Colloquium
Questions or comments?

Posted April 19, 2006

Last modified April 27, 2006

Franco Rampazzo, Dipartimento di Matematica Pura ed Applicata, UniversitÃ degli Studi di Padova
Professor of Mathematical Analysis

Commutators of Flows of Non-Smooth Vector Fields

Professor Rampazzo's visit is sponsored by the Louisiana Board of Regents Grant "Enhancing Control Theory at LSU". This is one of two talks the speaker will give at LSU during May 2006. For abstracts of both talks, click here.

CCT Computing the Future Lecture Series

Posted May 3, 2006

1:30 pm 338 Johnston Hall
Walter Gander, Computational Science, ETH Zurich

Solving problems in scientific computing using Maple and Matlab

Refreshments follow the talk. The abstract is here

Faculty Meeting
Questions or comments?

Posted April 18, 2006

Last modified May 1, 2006

Faculty meeting with Dean Ferreyra

Geometry and Topology Seminar
Seminar website

Posted May 1, 2006

Last modified May 9, 2006

Abhijit Champanerkar, University of South Alabama

On the Mahler measure of Jones polynomials

Abtsract: We show that the Mahler measure of the Jones polynomial and of

the colored Jones polynomials converges under twisting for any link. In

terms of Mahler measure convergence, the Jones polynomial behaves like

hyperbolic volume under Dehn surgery. We also show that after

sufficiently many twists, the coefficient vector of the Jones polynomial

and of any colored Jones polynomial decomposes into fixed blocks

according to the number of strands twisted. We will also discuss recent

results about links with cyclotomic Jones polynomials.

Control and Optimization Seminar
Questions or comments?

Posted April 19, 2006

Last modified April 27, 2006

Franco Rampazzo, Dipartimento di Matematica Pura ed Applicata, UniversitÃ degli Studi di Padova
Professor of Mathematical Analysis

Moving Constraints as Controls in Classical Mechanics

Professor Rampazzo's visit is sponsored by the Louisiana Board of Regents Grant "Enhancing Control Theory at LSU". This is one of two talks the speaker will give at LSU during May 2006. For abstracts of both talks, click here.

Posted March 28, 2006

until Thursday, May 25, 2006 To be announcedLouisiana Workshop on Mathematical Control Theory

Applied Analysis Seminar
Questions or comments?

Posted May 2, 2006

Last modified May 20, 2006

Gnana Bhaskar Tenali, Mathematics, Florida Institute of Technology

FIXED POINT THEOREMS IN PARTIALLY ORDERED METRIC SPACES AND APPLICATIONS

Abstract. I?ll talk about some recent progress made on fixed point theorems in partially ordered metric spaces. In particular, I will discuss

a fixed point theorem for a mixed monotone mapping in a metric space endowed with a partial order, using a weak contractivity

type of assumption. Besides including several recent developments, such a theorem can be used to investigate a large class of problems.

As an application we discuss the existence and uniqueness of solution for a periodic boundary value problem.

Applied Analysis Seminar
Questions or comments?

Posted June 20, 2006

Last modified July 10, 2006

Mathias Stolpe, Institut for Mathematik, Danmarks Tekniske Universitet

A method for global optimization of the stacking sequence in laminated composite shell structures

Posted July 7, 2006

1:30 pm - 4:00 pm 285 LockettComprehensive/PhD Qualifying Exam: Core-1 Analysis Test

Posted July 7, 2006

1:30 pm - 4:00 pm 285 LockettComprehensive/PhD Qualifying Exam: Core-1 Topology

Posted August 8, 2006

8:30 am - 2:00 pm LSU Student UnionOrientation Meeting for all New Graduate Students at LSU

This orientation meeting is for all new LSU Graduate Students. It is conducted by the Graduate School.

Posted July 7, 2006

1:30 pm - 4:00 pm 285 LockettComprehensive/PhD Qualifying Exam: Core-1 Algebra

Posted July 7, 2006

9:00 am - 11:00 am 235 Lockett followed by 3rd floor computer labTraining Session for Math 1431 TAs

Please check with Dr. Cochran if you are unsure of your assistantship duties for fall 2006.

Posted August 22, 2006

11:00 am Computer Lab, 3rd floor LockettOrientation for Math 1022 Lab Assistants

All TAs assigned to serve as Lab Assistants in Math 1022 must attend this meeting, which is run by Ms. Karla Neal.

Posted July 7, 2006

12:30 pm - 4:00 pm 285 LockettPhD Qualifying Exam: All Core-2 Tests

Posted August 8, 2006

1:00 pm - 6:00 pm LSU Union, Cotillion BallroomTeaching at LSU

This meeting is intended for all new Teaching Assistants at LSU. It will include a special session from 2:45-4:00 PM in the Vieux Carre Room for Math & Science TAs, featuring Alumni Professor Oxley and also award winning Math Graduate Assistant Julius Esunge. New TAs in Math should be sure to attend.

Applied Analysis Seminar
Questions or comments?

Posted July 20, 2006

Last modified July 21, 2006

Fernando Fraternali, California Institute of Technology and Università di Salerno

Free Discontinuity Approaches to Fracture and Folding

Faculty Meeting
Questions or comments?

Posted August 15, 2006

Last modified August 17, 2006

Meeting of the tenured and tenure-track faculty

Introduction of new faculty.

Amendment to the hiring plan.

Discussion of hiring including consideration of the joint hire discussed

here.

Combinatorics Seminar
Questions or comments?

Posted August 31, 2006

1:40 pm - 2:30 pm Lockett 381
Dirk Llewellyn Vertigan, Mathematics Department, LSU

Integer Flows and Cycle Covers: Introductory Lecture

Algebra and Number Theory Seminar
Questions or comments?

Posted September 5, 2006

3:40 pm Lockett 282
Seva Joukhovitski, Mathematics Department, LSU

Splitting varieties and Bloch-Kato Conjecture

Harmonic Analysis Seminar
Abstract and additional information

Posted September 11, 2006

3:40 pm - 4:30 pm Lockett 381
Hongyu He, Department of Mathematics, LSU

Complementary series of the Universal Covering of the Symplectic Group

Abstract: Complementary series arise as pertubation of the (degenerate) principal series. I will first discuss Sahi's classification. I will then show that complementary series restricted to a symplectic subgroup "half" of its original size are unitarily equivalent to the corresponding restriction of the principal series. The equivalence is given by the "square" root of the intertwining operator expressed in terms of the mixed model, which I will define. This talk is closely related to G. Olafsson's talk last semester in which he discussed the intertwining operator expressed in terms of the compact model.

Colloquium
Questions or comments?

Posted September 1, 2006

Last modified September 12, 2006

Kalyan B. Sinha, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore

Hilbert Tensor Algebras and Stochastic Differential Equations

Posted August 22, 2006

Last modified September 12, 2006

Graduate Student Picnic and Orientation Conference

Talks by faculty members and senior graduate students. Recreational Activities and Picnic Lunch. Please see **Complete Details including Schedule of Events.**

Algebra and Number Theory Seminar
Questions or comments?

Posted September 12, 2006

3:40 pm Lockett 282
Seva Joukhovitski, Mathematics Department, LSU

Splitting varieties and Bloch-Kato Conjecture II

Geometry and Topology Seminar
Seminar website

Posted September 5, 2006

Last modified September 19, 2006

Patrick Gilmer, Mathematics Department, LSU

Surgery of type-p and quantum invariants of 3-manifolds

Harmonic Analysis Seminar
Abstract and additional information

Posted September 14, 2006

3:40 pm - 4:30 pm Lockett 381
Hongyu He, Mathematics Department, LSU

Complementary series of the Universal Covering of the Symplectic Group II

Abstract: Complementary series arise as pertubation of the (degenerate) principal series. I will first discuss Sahi's classification. I will then show that complementary series restricted to a symplectic subgroup "half" of its original size are unitarily equivalent to the corresponding restriction of the principal series. The equivalence is given by the "square" root of the intertwining operator expressed in terms of the mixed model, which I will define. This talk is closely related to G. Olafsson's talk last semester in which he discussed the intertwining operator expressed in terms of the compact model.

Colloquium
Questions or comments?

Posted September 13, 2006

3:40 pm - 4:30 pm Lockett 285
Michael Malisoff, LSU

Lyapunov Functions, Stabilization, and Engineering Applications

Geometry and Topology Seminar
Seminar website

Posted September 6, 2006

Last modified September 19, 2006

Neal Stoltzfus, Mathematics Department, LSU

Dessins in Knot Theory

Faculty Meeting
Questions or comments?

Posted August 30, 2006

3:40 pm Lockett 6Meeting of the Tenured Faculty

Discuss a promotion to associate professor with tenure.

Control and Optimization Seminar
Questions or comments?

Posted September 18, 2006

Last modified September 26, 2006

Martin Hjortso, Louisiana State University
Chevron Professor of ChemE

Some Problems in Population Balance Modeling

Click here to obtain the abstract.

Probability Seminar
Questions or comments?

Posted September 26, 2006

3:40 pm - 4:30 pm Lockett 282
Habib Ouerdiane, Faculte des Sciences de Tunis, Tunis

Introduction to Brownian Functionals, and Applications to Stochastic Differential Equations

Geometry and Topology Seminar
Seminar website

Posted September 19, 2006

4:40 pm - 5:30 pm Lockett 284
David Cimasoni, UC Berkeley

Generalized Seifert surfaces and signatures of colored links

The Seifert surface is a well-known and very useful tool in link theory.

For instance, it permits to study the Alexander invariants, the Conway

polynomial, and the signature of an oriented link. In this talk, we

shall

introduce 'generalized Seifert surfaces' for colored links. They

provide a

geometric interpretation of the multivariable Alexander invariants

and of

the Conway potential function. They also make it possible to define (and

compute easily) a multivariable signature that generalizes the

Levine-Tristram signature. This multivariable signature turns out to

be a slight generalization of invariants introduced by P. Gilmer and L. Smolinsky.

Geometry and Topology Seminar
Seminar website

Posted October 4, 2006

4:40 pm - 5:30 pm Lockett 284
Neal Stoltzfus, Mathematics Department, LSU

Skein Modules of Cylinders and Quantum Cluster Algebras

Geometry and Topology Seminar
Seminar website

Posted October 4, 2006

Last modified October 10, 2006

Indira Lara Chatterji, Ohio State University

A characterization of hyperbolicity.

Harmonic Analysis Seminar
Abstract and additional information

Posted October 10, 2006

3:40 pm - 4:30 pm Lockett 381
Andy Sinton, Hebrew University of Jerusalem

Direct and Inverse Limits in Geometry and Representation Theory

Abstract: Direct limits (i.e. unions) of finite-dimensional groups are a natural place to look for infinite-dimensional generalizations of the finite-dimensional representation theory and related geometry. In many situations, it turns out that the appropriate analog for the regular representation is a found by letting the direct limit group act on the inverse limit of a related (quotient) space. The first half of the talk will provide an overview of the results of Olshanski, Vershik, Borodin, and others in the cases of the symmetric group and compact symmetric spaces. In the second half I will discuss the state of the art for non-compact symmetric spaces, which I am working on with Gestur Olafsson. Only a basic background in representation theory and Lie groups will be assumed.

Faculty Meeting
Questions or comments?

Posted October 13, 2006

3:10 pm Lockett 9Meeting of the tenured and tenure-track faculty

Hiring proposals.

A vote will be taken at the meeting.

Colloquium
Questions or comments?

Posted October 5, 2006

3:40 pm - 4:30 pm Lockett 285
Habib Ouerdiane, University of Tunis

Infinite Dimensional Complex Analysis and Application to Probability

There will be coffee and cookies in the lounge at 3:00.

Posted October 12, 2006

Last modified October 20, 2006

Graduate Student Meeting for Career Guidance from Faculty - Refreshments at 3PM in Lounge

This meeting is required of all graduate students who have passed the General Exam. Those who have PhD Qualified are strongly encouraged to attend. Students for whom Qualifying is in the future are warmly invited to attend. A Math Faculty panel will make presentations and answer your questions. Panel includes Profs. Baldridge, Brendle, Malisoff, Olafsson, Richardson and Smolinsky. Refreshments at 3PM in Lounge!

Geometry and Topology Seminar
Seminar website

Posted October 17, 2006

4:40 pm - 5:30 pm Lockett 284
Brendan Owens, LSU

Knot surgeries and negative definite four manifolds

Posted September 1, 2006

2:00 pm - 5:00 pm Room 301D, Lockett Hall.Final Exam for the Non-Thesis MS

This is the concluding part of the Final Exam for the non-thesis MS, the principal parts of which are the three core-1 Comprehensive Exams given earlier. See the Graduate Director for details. The Examining Committee will be Profs. Adkins (Chair), Oporowski, and Sundar.

Colloquium
Questions or comments?

Posted October 4, 2006

Last modified October 19, 2006

Sarada Rajeev, Department of Physics and Astronomy, University of Rochester

The Stochastic Geometry of Two Dimensional Turbulence

Probability Seminar
Questions or comments?

Posted October 12, 2006

Last modified October 20, 2006

Habib Ouerdiane, University of Tunis

Infinite Dimensional Complex Analysis, Holomorphy and Application to Gaussian and non Gaussian Analysis

Colloquium
Questions or comments?

Posted September 26, 2006

3:40 pm - 4:30 pm Lockett 285
Darren Crowdy, Imperial College London and MIT

Vortex motion in complex domains: new theoretical perspectives

Here is the abstract. There will be coffee and cookies in the lounge at 3:00.

Posted November 2, 2006

5:00 pm Keisler LoungeApplications of Statistics to Public Health Issues

Professors Lynn R. LaMotte, Qingzhao Yu, and Julia Volaufova from the School of Public Health in the LSU Health Sciences Center will come to speak.

Probability Seminar
Questions or comments?

Posted October 31, 2006

3:40 pm Lockett 282
Habib Ouerdiane, University of Tunis

Infinite Dimensional Complex Analysis, Holomorphy and Application to Gaussian and non Gaussian Analysis Part II

Geometry and Topology Seminar
Seminar website

Posted October 25, 2006

4:40 pm - 5:30 pm Lockett 284
Matilde Lalin, University of British Columbia

Functional equations for the Mahler measure of genus 1 curves

Geometry and Topology Seminar
Seminar website

Posted November 3, 2006

11:00 am - 12:00 pm Johnston 338
Ronald Fintushel, Michigan State University

Surgery on Nullhomologous Tori

Virtual Seminar together with Rice University

Colloquium
Questions or comments?

Posted October 5, 2006

Last modified November 1, 2006

Paul Kirk, Indiana University

The geography of 4-manifolds with specified fundamental group

There will be coffee and cookies in the lounge at 3:00.

Probability Seminar
Questions or comments?

Posted November 6, 2006

3:40 pm 282, Lockett
Suat Namli, Louisiana State University
Graduate Student

A White Noise Analysis Approach to Orthogonal Polynomials

Applied Analysis Seminar
Questions or comments?

Posted November 1, 2006

Last modified November 10, 2006

Blaise Bourdin, Department of Mathematics and Center for Computation & Technology, LSU

Numerical implementation of a variational model of brittle fracture

Abstract: Fracture mechanics is a very active area of research, with vital applications. In recent years, the unexpected collapse of terminal 2F at Charles de Gaulle airport in France or the Columbia space shuttle disintegration upon re-entry illustrate the importance of a better understanding and numerical simulation of the mechanism of fracture. In the area of brittle fracture, the most widely accepted theories are based on Griffithâ€™s criterion and limited to the propagation of an isolated, pre-existing crack along a given path. Extending Griffithâ€™s theory into a global minimization principle, while preserving its essence, the concept of energy restitution in between surface and bulk terms, G. Francfort and J.-J. Marigo proposed a new formulation for the brittle fracture problem. The basis of their model is the minimization of a total energy with respect to any admissible displacement and crack field. The main advantage of this approach is to be capable of predicting the initiation of new cracks, computing their path, and accounting the interactions betwenn several cracks, in two and three space dimensions. Of course, this has a price both theoretically and numerically. In particular, in order to acheive global minimization with respect to any crack set, one has to devise special numerical methods. After briefly reviewing the issues of brittle fracture mechanics, I will present the Francfort-Marigo model. I will rapidly describe some elements of its analysis, and present a numerical approximation based on the properties of Gamma-convergence. I will derive necessary optimality condiions with respect to the global time evolution, and show how to use them in a minimization algorithm. Then, I will present some extensions of the original model, accounting for body forces (under some restrictions) or thermal loads, and describe how to adapt the numerical implementation. I will illustrate my talk with several large scale two and three dimensional experiments.

Geometry and Topology Seminar
Seminar website

Posted November 3, 2006

Last modified November 8, 2006

Matthew Hedden, Michigan State University

The meaning and comparison of smooth concordance invariants

Abstract: In the past three years, several new invariants of smooth knot concordance have been discovered. This lecture will focus on two of these invariants, denoted $tau(K)$ and $s(K)$, respectively. Here $K$ denotes a knot in the three-sphere. The former invariant was discovered by Ozsvath and Szabo and independently by Rasmussen and is defined using the Floer homology theory for knots introduced by the aforementioned authors. $s(K)$ was introduced by Rasmussen and is defined in the context of Khovanov knot homology. The invariants share several formal properties and agree for many knots. In particular, each invariant is a homomorphism from the smooth knot concordance group to the integers, and each bounds the smooth four-genus, $g_4(K)$. Moreover, each invariant can be used to determine the smooth four-genera of torus knots and provide new proofs of Milnor's famous conjecture on the four-genera and unknotting numbers of these knots. It was conjectured by Rasmussen that $2tau$ and $s$ agree for all knots. If confirmed, this conjecture would point to a surprising connection between the analytically defined Ozsvath-Szabo homology theory and the combinatorially defined Khovanov homology. Moreover, it would seem to indicate a relationship between the gauge theory of three and four-manifolds and the quantum framework underlying the Jones polynomial. This lecture will explore Rasmussen's conjecture by discussing evidence for its validity and families of knots for which the conjecture holds. In this pursuit, it will be appropriate to briefly comment on the geometry contained by the $tau$ invariant - in particular I'll discuss a theorem which indicates that $tau$ can be used to detect when a knot arises as the intersection of a complex curve in $C^2$ with the three-sphere. This connection partially arises with the $s$ invariant. The main purpose, however, wil be to present the first counterexamples to Rasmussen's conjecture, discovered last year by myself and Philip Ording. The examples come from the Whitehead double construction. I will try to say some words about how Rasmussen's conjecture, though false, could be interpreted in the context of a larger conjecture connecting Floer homology to Khovanov homology, also due to Rasmussen.

Colloquium
Questions or comments?

Posted October 4, 2006

Last modified November 9, 2006

Thierry Lévy, École normale supérieure and CNRS

Combinatorial aspects of the heat kernel measure on the unitary group

Harmonic Analysis Seminar
Abstract and additional information

Posted November 6, 2006

3:40 pm - 4:30 pm Lockett 381
Jens Christensen, Mathematics Department, LSU

Time-Frequency analysis and Gelfand triples

In the 80's Feichtinger and Groechenig found a general class of Banach spaces tied to integrable group representations. These are called coorbit spaces and they are spaces for which the representation coefficients give isometric isomorphisms into other Banach spaces (for example weighted L_p spaces). A well known example is the class of modulation spaces, but also Besov spaces are coorbit spaces (this is rather loosely claimed by Feichtinger and Groechenig). I try to generalize the concept of coorbit spaces to make this construction easier and also possible for non-integrable square integrable representations. This work has been carried out together with Prof. Olafsson.

Colloquium
Questions or comments?

Posted October 20, 2006

Last modified November 9, 2006

Larry Gerstein, University of California at Santa Barbara

Quadratic forms: classification and other problems

Here is the abstract. There will be coffee and cookies in the lounge at 3:00.

Colloquium
Questions or comments?

Posted November 2, 2006

3:40 pm - 4:30 pm 109 Nicholson
John Baez, Univeristy of California at Riverside

Higher Gauge Theory

This is a joint Mathematics and Physics & Astronomy Event.

Abstract

Applied Analysis Seminar
Questions or comments?

Posted November 1, 2006

Last modified November 19, 2006

Jung-Han Kimn, Mathematics Department, LSU

Parallel Implementation of Domain Decomposition Methods

Abstract: Many important problems from current industrial and academic research, including the numerical solution of partial differential equations, generate extremely large data sets beyond the capacity of single-processor computers. Parallel computation on multiple-processor super computers is therefore the key to increasing performance but efficient parallel algorithms for multiple-processor super computers with huge number of processors are still needed. Domain Decomposition methods comprise an important class of parallel algorithms that are naturally parallel and flexible in their application to a sweeping range of scientific and engineering problems. This talk gives a brief discussion of some issues when we implement parallel domain decomposition methods. We will present some of our recent theoretical and numerical results for parallel domain decomposition methods for elliptic and hyperbolic partial differential equations.

CCT Distinguished Guest Lecture

Posted November 21, 2006

11:00 am Life Sciences Building Annex A101
Ian Foster, The Computation Institute Argonne National Laboratory and the University Of Chicago
Director of the Computation Institute Argonne National Laboratory

Scaling EScience Impact

An abstract and biography are available here.

Colloquium
Questions or comments?

Posted October 5, 2006

Last modified November 20, 2006

Samuel M. Rankin, Director, American Mathematical Society Washington Office

Activities of the American Mathematical Society's Washington Office

There will be coffee and cookies in the lounge at 3:00.

Colloquium
Questions or comments?

Posted September 29, 2006

3:40 pm - 4:30 pm Lockett 285
Phuc Nguyen, Purdue University

Nonlinear equations with power source terms and measure data

Here is the abstract. There will be coffee and cookies in the lounge at 3:00.

Applied Analysis Seminar
Questions or comments?

Posted October 11, 2006

Last modified November 27, 2006

Michael Mascagni, Department of Computer Science, Florida State University

Using Simple SDEs (Stochastic Differential Equations) to Solve Complicated PDEs (Partial Differential Equations)

This talk begins with an overview of methods to solve PDEs based on the representation of point solutions of the PDEs as expected values of functionals of stochastic processes defined by the Feynman-Kac formula. The particular stochastic processes that arise in the Feynman-Kac formula are solutions to specific SDEs defined by the characteristics of the differential operator in the PDE. The Feynman-Kac formula is applicable to wide class of linear initial and initial-boundary value problems for elliptic and parabolic PDEs. We then concentrate our attention on elliptic boundary value problems that arise in applications in materials science and biochemistry. These problems are similar in that the PDEs to be solved are rather simple, and hence the associated SDEs that arise in the Feynman-Kac formula are likewise simple. However, the geometry of the problem is often complicated and amenable to several acceleration approaches particular to these simple SDEs. We will specifically describe the walk on spheres, Greens function first passage, last passage, walk on the boundary, and walk on subdomains methods in this context. These methods will be presented in the setting of several applications studied by the author and his research collaborators.

Probability Seminar
Questions or comments?

Posted November 28, 2006

3:40 pm Lockett 282
Suat Namli, Louisiana State University
Graduate Student

Orthogonal Polynomials of Exponential and Fractional Types and Beyond

Applied Analysis Seminar
Questions or comments?

Posted November 1, 2006

Last modified December 3, 2006

Robert Lipton, Mathematics Department, LSU

Homogenization and Field Concentrations in Heterogeneous Media

Harmonic Analysis Seminar
Abstract and additional information

Posted November 13, 2006

Last modified November 27, 2006

Suat Namli, Louisiana State University
Graduate Student

A white noise analysis idea applied to orthogonal polynomials

Probability Seminar
Questions or comments?

Posted December 4, 2006

3:40 pm Lockett 282
Hong Yin, Department of Mathematics, LSU
Graduate Student

Backward Stochastic Differential Equations

Applied Analysis Seminar
Questions or comments?

Posted November 1, 2006

Last modified December 11, 2006

Michael Stuebner, Louisiana State University

An inverse homogenization approach to stress constrained structural design

The presentation addresses the problem of optimal design of microstructure in composite materials. A computational method for grading the microstructure for the control of local stress in the vicinity of stress concentrations is developed. The method is based upon new rigorous multiscale stress criteria connecting the macroscopic or homogenized stress to local stress fluctuations at the scale of the microstructure. The approach is applied to different type of design problems.

Posted January 4, 2007

1:30 pm - 4:00 pm 285 LockettComprehensive / PhD Qualifying Exam: Core-1 Topology

This exam is based on the subject matter of Math 7510.

Posted January 4, 2007

1:30 pm - 4:00 pm 285 Lockett Originally scheduled for 1:30 pm, Monday, January 8, 2007Core-1 Comprehensive / Phd Qualifying Exam: Core-1 Analysis

This exam is based on the subject matter of Math 7311.

Posted January 4, 2007

1:30 pm - 4:00 pm 285 LockettComprehensive / PhD Qualifying Exam: Core-1 Algebra

This exam is based on the subject matter of Math 7200.

Posted January 4, 2007

12:30 pm - 4:00 pm 285 LockettComprehensive / PhD Qualifying Exams: Core-2

All Core-2 Exams which have been requested by students will be offered at this time and place. NOTICE THE EARLIER STARTING TIME! Core-2 Exams last 3 and 1/2 hours.

Academic Excellence Visiting Scholar

Posted December 17, 2007

3:30 pm tbatba

Faculty Meeting
Questions or comments?

Posted January 28, 2007

3:40 pm Lockett 285Meeting of the Tenured Faculty

Third year review cases. A vote will follow and continue through Mardi Gras break.

Academic Excellence Visiting Scholar

Posted December 17, 2007

3:30 pm tba
Paul Rabinowitz, University of Wisconsin
E.B. Van Vleck Professor of Mathematics
National Academy Member
1998 George David Birkhoff Prize in Applied Mathematics

tba

Colloquium
Questions or comments?

Posted January 14, 2007

Last modified January 16, 2007

Carlos A. Berenstein, University of Maryland

Internet Tomography

Abstract: The problem to be discussed is how to detect as early as possible an attack on a network by saturation. There will be coffee and cookies in the lounge at 3:00.

Faculty Meeting
Questions or comments?

Posted December 11, 2006

Last modified December 18, 2006

Meeting with the LSU CIO

Brian Voss, the Chief Information Officer at LSU and Randy Hall, IT Faculty Liaison will visit the department and hold an open meeting to give mathematics faculty the opportunity to raise and discuss any needs or concerns about information technology at LSU.

Colloquium
Questions or comments?

Posted January 15, 2007

3:40 pm - 4:30 pm Lockett 277
Jan Dijkstra, Vrije Universiteit Amsterdam

On sets with convex shadows

Here is the abstract. There will be coffee and cookies in the lounge at 3:00.

A joint Algebra and Harmonic Analysis Seminar

Posted January 16, 2007

3:40 pm - 4:30 pm Lockett 285
Anne-Marie Aubert, CNRS and Institut de Mathematiques de Jussieu

Geometric structure in the representation theory of $p$-adic groups

Abstract: We will recall the Bernstein decomposition of the category of smooth representations of reductive $p$-adic groups. Then we will associate to each Bernstein component a (complex) affine variety. We conjecture that the periodic cyclic homology of the corresponding ideal in the Hecke algebra of the $p$-adic group is isomorphic to the cohomology (with complex coefficients) of this affine variety. In addition, we conjecture that there is a bijection between the points of the affine variety and the corresponding Bernstein component. This bijection (conjecturally) has a number of properties which relate to the representation theory of $G$. We will illustrate some properties of our conjecture on the exceptional group $G_2$.

Geometry and Topology Seminar
Seminar website

Posted January 10, 2007

Last modified January 21, 2007

Emille K. Davie, University of Georgia

Characterizing Right-Veering Surface Diffeomorphisms Via the Burau Representation

Control and Optimization Seminar
Questions or comments?

Posted January 30, 2007

Last modified January 31, 2007

Michael Malisoff, LSU

On the Stability of Periodic Solutions in the Perturbed Chemostat

We study the chemostat model for one species competing for one nutrient using a Lyapunov-type analysis. We design the dilution rate function so that all solutions of the chemostat converge to a prescribed periodic solution. In terms of chemostat biology, this means that no matter what positive initial levels for the species concentration and nutrient are selected, the long-term species concentration and substrate levels closely approximate a prescribed oscillatory behavior. This is significant because it reproduces the realistic ecological

situation where the species and substrate concentrations oscillate. We show that the stability is maintained when the model is augmented by additional species that are being driven to extinction. We also give an input-to-state stability result for the chemostat-tracking equations for cases where there are small perturbations acting on the dilution rate and initial concentration. This means that the long-term species concentration and substrate behavior enjoys a

highly desirable robustness property, since it continues to approximate the prescribed oscillation up to a small error when there are small unexpected changes in the dilution rate function. This talk is based on the speaker's joint work with Frederic Mazenc and Patrick De Leenheer.

A^1 homotopy theory seminar

Posted January 30, 2007

2:00 pm Lockett 381Organizational meeting

Colloquium
Questions or comments?

Posted January 18, 2007

Last modified January 23, 2007

Kariane Calta, Cornell University
Candidate for Assistant Professor Position

Billiards, translation surfaces and associated dynamical systems

Abstract:

In this talk I will discuss some of the basic notions relevant to the

study of translation surfaces and provide several interesting

examples of such surfaces, including those that arise from billiard

tables. I will focus

on the dynamics of the geodesic flow on an individual

surface and the related dynamics of the action of SL(2,R) on the moduli

space of translation surfaces. I will also discuss recent advances in this

field, including some of my own results and their relationship to the work

of a number of other authors.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted January 30, 2007

11:00 am 338 Johnston Hall
Thomas J.R. Hughes, The University Of Texas At Austin
Professor of Aerospace Engineering and Engineering Mechanics

Computational Geometry And Computational Mechanics

More information and abstract available here.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted January 30, 2007

3:00 pm 338 Johnston Hall
Thomas J.R. Hughes, The University Of Texas At Austin
Professor of Aerospace Engineering and Engineering Mechanics

Variational Multiscale Methods in Computational Fluid Dynamics

The talk is a part of the CCT Colloquium Series.

Colloquium
Questions or comments?

Posted January 26, 2007

3:40 pm - 4:30 pm Lockett 285
Ioan Bejenaru, Univ of California, Los Angeles
Candidate for Assistant Professor Position

Local and global solutions for Schroedinger Maps

Abstract: We introduce the Schroedinger Maps which can be thought as free solutions of the geometric Schroedinger equation. More exactly, while the classical Schroedinger equation is written for functions taking values in $\mathhb{C}$ (complex plane), the range of a Schroedinger Map is a manifold (with a special structure). We explain the importance of these Maps and what are the fundamental aspects one would like to understand about them. Then we focus on the particular case when the target manifold is $\mathbb{S}^2$ (the two dimensional sphere) and review the most recent results along with our contribution to the field.

Posted January 26, 2007

Last modified January 31, 2007

Second Louisiana-Texas Topology Retreat

(together with Rice University)

Schedule

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted January 25, 2007

10:00 am 338 Johnston Hall
Hae-Won Choi, National Center for Atmospheric Research
Scientific Computing Division

Scientific Computing Technologies Devising High-Order Methods

Applied Analysis Seminar
Questions or comments?

Posted January 29, 2007

Last modified February 1, 2007

Paul Saylor, University of Illinois

Stanford's Foresight and Forsythe's Stanford

Abstract:

What Stanford Was Like

What the Time Was Like

Over A Four Year Period

Starting with the Arrival of This New Man

Professor George Forsythe, In 1957

Plus A Bonus Look-Ahead to the Future

Colloquium
Questions or comments?

Posted January 29, 2007

Last modified January 30, 2007

Mahta Khosravi, Institute for Advanced Study, Princeton, NJ
Candidate for Assistant Professor Position

Spectral Asymptotics on Heisenberg Manifolds

abstract: Let R(t) be the error term in Weyl's law for (2n+1)-dimensional Heisenberg manifolds. Based on the Petridis-Toth conjecture R(t)=O_delta(t^{n-1/4+delta}). We discuss new pointwise and moment results that provide evidence for this conjecture in three dimensions and a proof for it in higher dimensions. The methods used also allow a proof of a new fifth moment result in the case of the Dirichelet Divisor problem.

Posted January 28, 2007

4:00 pm James E. Keisler Lounge (room 321 Lockett)Actuarial Exams

Organizational meeting for preparation for spring exams. Math 4050 no longer will cover the entire FM exam. Supplementary lectures will be offered by Matthew Arnold. Refreshments will be served.

Control and Optimization Seminar
Questions or comments?

Posted February 4, 2007

11:30 am - 12:30 pm 239 Lockett
Michael Malisoff, LSU

Further Results on Lyapunov Functions for Slowly Time-Varying Systems

We provide general methods for explicitly constructing strict Lyapunov functions for fully nonlinear slowly time-varying systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially stable. This complements our previous Lyapunov function constructions for rapidly time-varying dynamics. We also explicitly construct input-to-state stable Lyapunov functions for slowly time-varying control systems. We illustrate our findings by constructing explicit Lyapunov functions for a pendulum model, an example from identification theory, and a perturbed friction model. This talk is based on the speaker's joint work with Frederic Mazenc.

A^1-homotopy theory seminar

Posted February 2, 2007

1:00 pm - 3:00 pm Lockett 381
Girja Shanker Tripathi, LSU

Closed model categories

Colloquium
Questions or comments?

Posted January 22, 2007

3:40 pm - 4:30 pm Lockett 285
Milen Yakimov, University of California, Santa Barbara

Poisson structures on flag varieties

Abstract: The geometry of Poisson structures originating from Lie theory found numerous applications in representation theory, ring theory, and dynamical systems. The linear Poisson structure on the dual of a Lie algebra provides the setting for the orbit method of Kirillov, Kostant, and Dixmier for the study of the unitary duals of Lie groups and the spectra of universal enveloping algebras. In this talk we will describe in detail the geometry of a class of Poisson structures on complex flag varieties and some of their relations to combinatorics (Schubert cells and their Deodhar partitions, cluster algebras, total positivity, the Springer and the Lusztig partitions of wonderful compactifications), ring theory (spectra of algebras of quantum matrices and other quantized algebras), integrable systems (Kogan-Zelevinsky systems). In the special case of hermitian symmetric spaces of compact type, these Poisson structures further elucidate the works of Wolf, Richardson, R\"ohrhle, and Steinberg on the structure of the orbits of certain Levi factors.

Control and Optimization Seminar
Questions or comments?

Posted February 9, 2007

11:40 am - 12:30 pm Lockett 239
Jimmie Lawson, Mathematics Department, LSU

The Symplectic Group and Semigroup and Riccati Differential

Abstract: We develop close connections between important control-theoretic matrix Riccati differential equation and the symplectic matrix group and its symplectic subsemigroup. We use this example as a case study to demonstrate how the Lie theory of the subsemigroups of a matrix group can be applied to problems in geometric control theory. As an application we derive from this viewpoint the existence of a solution for the Riccati equation for all $t\geq 0$ under quite general hypotheses.

Colloquium
Questions or comments?

Posted January 29, 2007

Last modified February 7, 2007

Christian Haesemeyer, University of Illinois, Urbana-Champaign
Candidate for Assistant Professor Position

On the algebraic K-theory of singularities

Abstract: Algebraic K-theory is a highly complicated invariant of algebraic varieties and rings, encoding arithmetic, geometric and algebraic information. In this talk, I will try to explain these different notions and give some idea as to how to isolate geometric from algebraic information in the case of singularities.

A^1-homotopy theory seminar

Posted February 8, 2007

1:00 pm - 3:00 pm Lockett 381
Girja Shanker Tripathi, LSU

Closed model categories II

Faculty Meeting
Questions or comments?

Posted January 28, 2007

3:40 pm Lockett 285Meeting of the Tenured Faculty

Third year year cases. A vote will follow and continue through Mardi Gras break.

Posted February 12, 2007

2:40 pm - 3:30 pm Keisler Lounge (Room 321 of Lockett)Presentations about Research Experience For Undergraduates (REUs)

This will include presentations by Professors Lawrence Smolinsky and William Hoffman about possible paid summer research jobs. For more information about REUs, see http://www.ams.org/outreach/reu.html.

Special Lecture

Posted January 25, 2007

Last modified February 14, 2007

John Perry, University of Southern Mississippi

From Gauss to Groebner Bases

Abstract:

Gaussian elimination of linear systems into echelon form allows us to analyze the solution set of the linear system. What about systems of non-linear polynomials? In 1965, Bruno Buchberger discovered an algorithm that "triangularizes" such systems into Groebner bases. Using a Groebner basis, one can analyze the solutions much as one might analyze the echelon form of a linear system.

This talk introduces Groebner bases and Buchberger's algorithm; we present them as a generalization of Gaussian elimination and echelon form. We indicate some applications, describe some challenges in their computation, and conclude with some recent advances.

The talk will be accessible to undergraduates, graduate students, and faculty.

Applied Analysis Seminar
Questions or comments?

Posted January 29, 2007

11:00 am - 12:00 pm Johnston Hall Room 338
Fengyan Li, Rensselaer Polytechnic Institute

Recent development in nonconforming methods for Maxwell equations

In this talk, I will discuss some recent developments in computational electromagnetism. Two schemes are formulated for the reduced time-harmonic Maxwell equations. One is using the classical nonconforming finite elements, the other is based on the interior penalty type discontinuous Galerkin methods. The operators in these schemes naturally define two Maxwell eigensolvers which are spurious free. Theoretical and numerical results will be presented to demonstrate the performance of these methods. This is joint work with Susanne Brenner and Li-yeng Sung (LSU).

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted February 12, 2007

11:00 am 338 Johnston Hall
Fengyan Li, Rensselaer Polytechnic Institute

Sound and Sense; Beyond SenSurround

A^1-homotopy theory seminar

Posted February 8, 2007

Last modified February 9, 2007

Seva Joukhovitski, Mathematics Department, LSU

Etale and Nisnevich topology

Posted February 13, 2007

Last modified February 18, 2007

More Presentations about Research Experience For Undergraduates (REUs)

This will include presentations by Cecil Taylor Alumni Professor Robert Perlis and possibly other professors about possible paid summer research jobs. For more information about REUs, see http://www.ams.org/outreach/reu.html or http://www.nsf.gov/crssprgm/reu/.

Colloquium
Questions or comments?

Posted February 14, 2007

3:40 pm - 4:30 pm Lockett 285
Milen Yakimov, University of California, Santa Barbara

Poisson structures on flag varieties

Abstract: The geometry of Poisson structures originating from Lie theory found numerous applications in representation theory, ring theory, and dynamical systems. The linear Poisson structure on the dual of a Lie algebra provides the setting for the orbit method of Kirillov, Kostant, and Dixmier for the study of the unitary duals of Lie groups and the spectra of universal enveloping algebras. In this talk we will describe in detail the geometry of a class of Poisson structures on complex flag varieties and some of their relations to combinatorics (Schubert cells and their Deodhar partitions, cluster algebras, total positivity, the Springer and the Lusztig partitions of wonderful compactifications), ring theory (spectra of algebras of quantum matrices and other quantized algebras), integrable systems (Kogan-Zelevinsky systems). In the special case of hermitian symmetric spaces of compact type, these Poisson structures further elucidate the works of Wolf, Richardson, R\"ohrhle, and Steinberg on the structure of the orbits of certain Levi factors.

Applied Analysis Seminar
Questions or comments?

Posted January 17, 2007

Last modified February 15, 2007

Itai Shafrir, Department of Mathematics, Technion - Israel Institute of Technology

On a minimization problem with a mass constraint involving a potential vanishing on two curves

We study a singular perturbation type minimization problem with a mass constraint over a domain or a manifold, involving a potential vanishing on two curves in the plane. We describe the asymptotic behavior of the energy as the parameter epsilon goes to zero, and in particular, how it depends on the geometry of the domain. In the case of the problem on the sphere we give a precise description of the limiting behavior of both the minimizers and their energies. This is a joint work with Nelly Andre (Tours).

Colloquium
Questions or comments?

Posted January 5, 2007

Last modified February 18, 2007

Max Karoubi, University of Paris 7

Twisted K-theory, old and new

Abstract: Twisted K-theory has its origins in the author's PhD thesis [K1] and in the paper of P. Donovan and the author
about 37 years ago. The objective of the lecture is to revisit the
subject in the light of new developments inspired by Mathematical
Physics. See for instance E. Witten Arxiv hep-th/9810188,
J. Rosenberg.
and M.F. Atiyah-G. Segal ArXiv math/0407054.
The unifiying theme is the notion of K-theory of graded Banach algebras,
already present in [K1], from which most of the new theorems in twisted
K-theory are derived. Some explicit computations are also given in the
equivariant case, related to previous known results.
(see http://www.math.jussieu.fr/~karoubi/ or
ArXiv mathKT/0701789 for more details)

There will be coffee and cookies in the lounge at 3:00.

Algebra and Number Theory Seminar
Questions or comments?

Posted February 6, 2007

Last modified February 7, 2007

Max Karoubi, University of Paris 7

K-theory and characteristic classes in number theory

ABSTRACT: Let A be an arbitrary ring. We introduce a Dennis trace map mod n, from K_1(A;Z/n) to the Hochschild homology group with coefficients HH_1(A;Z/n). If A is the ring of integers in a number field, explicit elements of K_1(A,Z/n) are constructed and the values of their Dennis trace mod n are computed. If F is a quadratic field, we obtain this way non trivial elements of the ideal class group of A. If F is a cyclotomic field, this trace is closely related to Kummer logarithmic derivatives; this trace leads to an unexpected relationship between the first case of Fermat's last theorem, K-theory and the number of roots of Mirimanoff polynomials. This is joint work with Thierry Lambre, see ArXiv math.NT/0006237 for more details.

Control and Optimization Seminar
Questions or comments?

Posted February 22, 2007

11:40 am - 12:30 pm Lockett 239
Jimmie Lawson, Mathematics Department, LSU

The Symplectic Group and Semigroup and Riccati Differential (Part II)

Abstract: We develop close connections between important control-theoretic matrix Riccati differential equation and the symplectic matrix group and its symplectic subsemigroup. We use this example as a case study to demonstrate how the Lie theory of the subsemigroups of a matrix group can be applied to problems in geometric control theory. As an application we derive from this viewpoint the existence of a solution for the Riccati equation for all $t\geq 0$ under quite general hypotheses.

A^1 homotopy theory seminar

Posted February 27, 2007

1:00 pm - 3:00 pm Lockett 381
Martin Laubinger, LSU
Graduate Student

Homotopy theory on a Grothendieck Topos

Applied Analysis Seminar
Questions or comments?

Posted January 29, 2007

3:40 pm - 4:30 pm 284 Lockett Hall
Alexander Pankov, College of William and Mary

Gap solitons, periodic NLS, and critical point theory

Abstract: Here a gap soliton means a spatially exponentially localized standing wave solution of periodic nonlinear Maxwell equations, having a carrier frequency in a spectral gap. There is an enormous literature devoted to study of what should be gap solitons by means of approximate methods, e.g., envelope function approach, and numerical simulations (basically, in one dimension). These results provide a lot of information about such solutions, say, their shape. However, the existence of gap solitons is not a clear issue. In this talk we discuss the existence problem in the case of periodic Akhmediev-Kerr medium. We consider two-dimensional case and look for (TM) polarized solutions. Then the problem reduces to a (two-dimensional) periodic stationary NLS with cubic nonlinearity. To study this equation we employ critical point theory (specifically, the linking theorem) together with the so-called periodic approximations. This leads to the existence of TM gap solitons and provides an estimate for the rate of exponential decay. Finally, we discuss certain open mathematical problems.

Probability Seminar
Questions or comments?

Posted March 2, 2007

4:00 pm Lockett 240
Hong Yin, Department of Mathematics, LSU
Graduate Student

Backward Stochastic Differential Equations

Control and Optimization Seminar
Questions or comments?

Posted March 5, 2007

11:40 am - 12:30 pm Lockett 239
Jimmie Lawson, Mathematics Department, LSU

The Symplectic Group and Semigroup and Riccati Differential Equations (Part III)

Abstract: We develop close connections between important control-theoretic matrix Riccati differential equation and the symplectic matrix group and its symplectic subsemigroup. We use this example as a case study to demonstrate how the Lie theory of the subsemigroups of a matrix group can be applied to problems in geometric control theory. As an application we derive from this viewpoint the existence of a solution for the Riccati equation for all $t\geq 0$ under quite general hypotheses.

Harmonic Analysis Seminar
Abstract and additional information

Posted February 28, 2007

3:40 pm - 4:30 pm Lockett 381
Michael Otto, University of Arizona

Poisson geometry and symmetric spaces

Abstract: Methods from Poisson/symplectic geometry can be used to study properties of Lie groups and associated symmetric spaces. A prominent example is provided by the classical symplectic convexity theorem of Atiyah and Guillemin-Sternberg and its connection with Kostant's convexity theorem for semisimple Lie groups. We will introduce several interesting Poisson structures on a symmetric space and discuss applications.

A^1-homotopy theory seminar

Posted March 5, 2007

1:00 pm - 3:00 pm Lockett 381
Martin Laubinger, LSU
Graduate Student

Definition of the A^1-homotopy category

Colloquium
Questions or comments?

Posted February 14, 2007

Last modified February 15, 2007

Michael Otto, University of Arizona

The moment map in symplectic geometry and elsewhere

Abstract: The moment map is a central object of study in symplectic
geometry. It also appears (in disguise) in several other branches of
mathematics, such as linear algebra, classical mechanics,
representation theory of Lie groups etc. This talk is intended to
give an overview over some of its most interesting properties, most
notably several convexity results and formulas of Duistermaat-Heckman
type.

There will be coffee and cookies in the lounge at 3:00.

Posted March 8, 2007

5:00 pm James E. Keisler Mathematics Lounge (321 Lockett)
Charles Neal Delzell, Mathematics Department, LSU

On Hilbert's 17th Problem

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted February 12, 2007

3:00 pm 338 Johnston Hall
Isiah M. Warner, Department of Chemistry, Louisiana State University
Boyd Professor, Louisiana State University

Models for Creating and Sustaining Diversity among Undergraduate Students in Science

Junior Topology Seminar

Posted March 7, 2007

Last modified March 12, 2007

Seminar on knot homology theories and related topics

Moshe Cohen (LSU): On Viro's description of Khovanov's knot homology

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted March 13, 2007

11:00 am 338 Johnston Hall
Pavel Bochev, Sandia National Laboratories

Mimetic Discretizations And What They Can Do For You

A^1-homotopy theory seminar

Posted March 9, 2007

1:00 pm - 3:00 pm Lockett 381
Marco Schlichting, Louisiana State University

Brown-Gersten property and Realization functors

Analysis/PDE Seminar

Posted March 14, 2007

1:40 pm - 3:00 pm 203 Prescott Hall
Delio Mugnolo , Institute for Applied Analysis, University of Ulm, Germany

Evolution Equations on Networks - Interaction is Complexity (Part II)

Simplified versions of many complex systems can be modeled as networks: the Internet, an animal's brain, electrical circuits, a highway system, a social community... Although the descriptions of ongoing phenomena (transmission of potential, mechanical vibrations, spread of information...) as well as other relevant issues are specific for each model, they all lead to the consideration of partial differential equations on 1-d structures. Begun in the 1950's in the framework of chemical physics, interest in investigations of differential models for network-shaped structures has been revived in the last 20 years. Ever since, networks and their pervasiveness in everyday life have made their way even to the mainstream press. The aim of this lecture series is to present an abstract approach to differential problems on networks that is based on an interplay of functional analysis and graph theory. While pursuing our mathematical targets, we will often be motivated by, think of, and even speak the language of theoretical neurobiological problems. Having applications in mind, we will formulate and prove theoretical results (well-posedness, maximum principles, asymptotic, qualitative properties...) so that they can be promptly interpreted as soon as specific models are considered. Some basic knowledge (e.g., what is a Sobolev space, the spectrum of an unbounded operator, or an incidence matrix) in operator theory, partial differential equations, and graph theory will prove useful, but is no strict prerequisite. To demonstrate the usefulness of the results, some time will be devoted to the mathematical analysis of a few neurobiological systems (preceded by a crash course in neuronal modeling).

Posted March 14, 2007

5:00 pm James E.Keisler Mathematics Lounge (321 Lockett)
Pramod Achar, Mathematics Department, LSU

Regular Complex Polytopes

This talk will be understandable to undergraduates.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted March 13, 2007

3:00 pm 338 Johnston Hall
David Skinner, Lawrence Berkeley Lab

"Integrated Performance Monitoring: HPC Workload Characterization"

Analysis/PDE Seminar

Posted March 17, 2007

1:40 pm - 3:00 pm 203 Prescott Hall
Delio Mugnolo , Institute for Applied Analysis, University of Ulm, Germany

Evolution Equations on Networks - Interaction is Complexity (Part III)

Simplified versions of many complex systems can be modeled as networks: the Internet, an animal's brain, electrical circuits, a highway system, a social community... Although the descriptions of ongoing phenomena (transmission of potential, mechanical vibrations, spread of information...) as well as other relevant issues are specific for each model, they all lead to the consideration of partial differential equations on 1-d structures. Begun in the 1950's in the framework of chemical physics, interest in investigations of differential models for network-shaped structures has been revived in the last 20 years. Ever since, networks and their pervasiveness in everyday life have made their way even to the mainstream press. The aim of this lecture series is to present an abstract approach to differential problems on networks that is based on an interplay of functional analysis and graph theory. While pursuing our mathematical targets, we will often be motivated by, think of, and even speak the language of theoretical neurobiological problems. Having applications in mind, we will formulate and prove theoretical results (well-posedness, maximum principles, asysmptotics, qualitative properties...) so that they can be promptly interpreted as soon as specific models are considered. Some basic knowledge (e.g., what is a Sobolev space, the spectrum of an unbounded operator, or an incidence matrix) in operator theory, partial differential equations, and graph theory will prove useful, but is no strict prerequisite. To demonstrate the usefulness of the results, some time will be devoted to the mathematical analysis of a few neurobiological systems (preceded by a crash course in neuronal modeling).

Junior Topology Seminar

Posted March 14, 2007

3:10 pm - 4:00 pm Lockett 276Seminar on knot homology theories and related topics

Adam Lowrance (LSU) on the combinatorial description of Oszvath-Szabo Heegaard Floer knot homology by Manolescu-O.-S.-Thurston

A^1-homotopy theory seminar

Posted March 20, 2007

1:00 pm - 3:00 pm Lockett 381
Marco Schlichting, Louisiana State University

Homotopy invariant cohomology theories and the Brown Gersten property

Junior Topology Seminar

Posted March 20, 2007

3:10 pm - 4:00 pm Lockett 276Seminar on knot homology theories and related topics

Adam Lowrance (LSU) on the combinatorial description of Oszvath-Szabo Heegaard Floer knot homology by Manolescu-O.-S.-Thurston, Part II

Posted March 20, 2007

5:00 pm Keisler Lounge (321 Lockett)
Padmanabhan Sundar, Mathematics Department, LSU

Large Deviations and Rare Events

Posted January 17, 2007

1:00 pm - 4:00 pm Conference Room: 301D Lockett Originally scheduled for 1:00 pmConcluding part of Final Exam for Non-Thesis MS

This is the concluding part of the Final Exam for the non-thesis MS, the principal parts of which are the three core-1 Comprehensive Exams given earlier. See the Graduate Director for details. The Examining Committee will be Profs. Adkins (Chair), Oporowski, and Sundar.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted March 13, 2007

3:00 pm 338 Johnston Hall
Chokchai "Box" Leangsuksun, Louisiana Tech University
Associate Professor in Computer Science and the Center for Entrepreneurship and Information Technology (CEnIT).

"Reliability-aware runtime system research for HPC"

Posted March 20, 2007

3:10 pm B 10 Locket HallGraduate student meeting

We will discuss additions to the graduate school program.

Probability Seminar
Questions or comments?

Posted March 26, 2007

4:00 pm 240 Lockett
Suat Namli, Louisiana State University
Graduate Student

Orthogonal polynomials of the exponential and fractional type

Geometry and Topology Seminar
Seminar website

Posted March 7, 2007

4:40 pm - 5:00 pm Lockett 276
Kathy Zhong, Cal State Sacramento

Calculate Kauffman Polynomials of some Knots Using Kauffman Skeins

Control and Optimization Seminar
Questions or comments?

Posted March 26, 2007

11:40 am - 12:30 pm 239 Lockett
Feng Gao, LSU Department of Mechanical Engineering

A Generalized Approach for the Control of MEM Relays

Abstract: We show that voltage-controlled, electrostatic and electromagnetic micro-relays have a common dynamic structure. As a result, both types of microelectromechanical (MEM) relays are subject to the nonlinear phenomenon known as pull-in, which is usually associated with the electrostatic case. We show that open-loop control of MEM relays naturally leads to pull-in during the relay closing. Two control schemes - a Lyapunov design and a feedback linearization design - are presented with the objectives of avoiding pull-in during the micro-relay closing and improving the transient response during the micro-relay opening. Simulations illustrate the performance of the two control schemes in comparison to the typical open-loop operation of the MEM relay.

Faculty Meeting
Questions or comments?

Posted March 23, 2007

3:00 pm277 Lockett Hall

At 3:00 - Rank III promotion case for Ameziane Harhad

At 3:30 - Instructors meeting, mandatory for instructors

Harmonic Analysis Seminar
Abstract and additional information

Posted March 14, 2007

Last modified March 15, 2007

Hongyu He, Mathematics Department, LSU

Introduction to Theta Correspondence

In this talk, I will introduce Howe's dual reductive pair. I will then discuss

the basic theory of theta correspondence and its application in representation

theory. The talk will be accessible to graduate students.

Geometry and Topology Seminar
Seminar website

Posted March 21, 2007

Last modified March 28, 2007

Stephen Bigelow, UC Santa Barbara

Representations of Planar Algebras

Time/Date Changed

A^1-homotopy theory seminar

Posted March 29, 2007

1:00 pm - 3:00 pm Lockett 381
Jerome W. Hoffman, Mathematics Department, LSU

Some calculations in A^1-homotopy theory

Posted March 28, 2007

5:00 pm 321 Lockett (Keisler Lounge)
Rick Barnard, LSU Department of Mathematics
Advanced graduate student.

What Is A Control System?!

Check the math club web page for a complete list of math club events.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted March 13, 2007

3:00 pm 338 Johnston Hall
Guan Qin, Texas A&M University
Institute for Scientific Computation

"Mathematical Challenges and Hot Topics in Oil Reservoir Simulation"

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted March 30, 2007

Last modified April 7, 2007

Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

The Pythagorean Theorem: A Closer Look

Extensions and variants of the Pythagorean theorem are presented, first from the point of view of finite-dimensional, linear algebra and, later, in the framework of infinite-dimensional Hilbert space. The results discussed make contact with the work of Kostant, Atiyah, and Guillemin-Sternberg in the convex geometry of symmetric spaces, the work of Horn and Schur on spectral theory, matrix inequalities, majorization, and convex polytopes, and semi-commutative, metric geometry from the point of view of conditional expectations. The first of the two Pythagoras lectures will be relatively elementary, the second will be slightly more advanced, relying somewhat on the operator-algebra, survey lecture that follows the first lecture. There will be coffee and cookies in the Atrium, Howe-Russell E, at 3:00.

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted March 30, 2007

Last modified April 7, 2007

Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

Operator Algebras: A Sampler

There will be coffee and cookies in the Atrium, Howe-Russell E, at 3:00.

A^1-homotopy theory seminar

Posted March 30, 2007

1:00 pm - 3:00 pm Lockett 381
Jerome W. Hoffman, Mathematics Department, LSU

Projective n-space in A^1-homotopy and other calculations

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted March 30, 2007

Last modified April 7, 2007

Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

The Pythagorean Theorem: An Advanced View

There will be coffee and cookies in the Atrium, Howe-Russell E, at 3:00.

Calculus Textbook and Webwork Presentation

Posted March 30, 2007

Last modified April 9, 2007

University Calculus

An Addison Wesley representative will present their integration of Webworks with their book 'University Calculus' by Haas, Wier, and Thomas.

Junior Topology Seminar

Posted April 10, 2007

3:10 pm - 4:00 pm Lockett 276Seminar on knot homology theories and related topics

Godi Pruidze (LSU): Topology of robot motion planning

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 9, 2007

Last modified April 16, 2007

Alfred Z. Spector, Independent Consultant
Former CTO and Vice President of Strategy & Technology for IBM's Software Group

"Towards a Software Science of Design."

Reception starting at 3:00 p.m. in lobby.

Harmonic Analysis Seminar
Abstract and additional information

Posted April 10, 2007

3:40 pm - 4:30 pm Lockett 285
Hongyu He, Mathematics Department, LSU

Introduction to Theta Correspondence II

In this talk, I will introduce Howe's dual reductive pair. I will then discuss the basic theory of theta correspondence and its application in representation theory. The talk will be accessible to graduate students.

Probability Seminar
Questions or comments?

Posted March 30, 2007

4:00 pm Lockett 240
Wojbor Woyczynski , Case Western Reserve University
Center for Stochastic and Chaotic Processes in Sciences and Technology

Nonlinear evolution equations driven by Levy diffusions

Abstract: Nonlinear evolution equations, such as conservation laws, KPZ Hamilton Jacobi equations develop surprising critical behavior when driven by Levy diffusions with infinitesimal generators with different asymptotic behavior of their symbols. A study of this type of formalism is motivated by physical problems related to deposition of thin semiconductor films and flows in random media.

Posted April 9, 2007

4:30 pm James E. Keisler Lounge (room 321 Lockett)Material on Interest Theory Exam

Matthew Arnold will conduct the session.

Control and Optimization Seminar
Questions or comments?

Posted April 16, 2007

11:40 am - 12:30 pm Room 239 Lockett
Peter Wolenski, LSU Department of Mathematics
Russell B. Long Professor

The role of convexity in optimization and control theory.

Abstract: This talk will broadly survey the role of convexity in optimization theory, and outline its special place in optimal control. Roughly speaking, convexity plays the role in optimization analogous to that enjoyed by linearity in dynamical system theory. We shall illustrate this by discussing the features of local vs. global statements, generalized differentiation, duality, and representation formulas.

Combinatorics Seminar
Questions or comments?

Posted April 15, 2007

1:40 pm - 2:30 pm 276 Lockett Hall
Chris Rodger, Auburn University

Hamilton decompositions in complete multipartite graphs

Calculus Textbook and Webwork Presentation

Posted March 30, 2007

3:40 pm - 4:30 pm Lockett 285Calculus, Early Transcendentals

A Hoffman-Mifflin representative will present their integration of Webworks with their book 'Calculus, Early Transcendentals' by Larson, Hostedler, and Edwards.

A^1-homotopy theory seminar

Posted April 15, 2007

1:00 am - 3:00 pm Lockett 381
Seva Joukhovitski, Mathematics Department, LSU

The category of spectra

Calculus Textbook and Webwork Presentation

Posted March 30, 2007

3:40 pm - 4:30 pm Lockett 285Calculus, Early Transcendentals

A W. H. Freeman representative will present their integration of Webworks with their book 'Calculus, Early Transcendentals' by Rogowski.

Colloquium
Questions or comments?

Posted April 11, 2007

3:40 pm - 4:30 pm Lockett 277
Kevin Knudson, Mississippi State University

Algorithms in discrete Morse theory

Abstract: Discrete Morse theory was developed by Robin Forman to

provide a combinatorial analogue, for simplicial complexes, of classical

smooth Morse theory on manifolds. Constructing efficient discrete Morse

functions is a nontrivial task. In this talk, I will present an

algorithm that begins with a function h defined on the vertices of a

complex K and extends it to a discrete Morse function on the entire

complex so that the resulting discrete gradient field mirrors the large

scale behavior of h. This has applications to the analysis of point

cloud data sets and several examples will be given. No prior knowledge

of Morse theory (discrete or smooth) will be assumed.

There will be coffee and cookies in the lounge at 3:00.

Special Math Club Lecture

Posted April 14, 2007

Last modified April 15, 2007

Paul Saylor, LSU Center for Computation and Technology

Numerical Analysis: Do Computers Really Compute? Who Knows? Google? YouTube? Math Knows.

Open to all undergrads. Here is a poster for this talk.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 9, 2007

3:00 pm 338 Johnston Hall
Bruce N. Walker, Georgia Institute of Technology
Sonification Lab

"Anditory Displays, Anditory Graphs, and Sonifications: Research and Design."

Applied Analysis Seminar
Questions or comments?

Posted March 8, 2007

Last modified March 13, 2007

Hong Zhang, Dept. of Computer Science, Illinois Institute of Technology and Mathematics and Computer Science Division, Argonne National Laboratory

Eigenvalue Problems in Nanoscale Material Modeling

Together with a group of material scientist, we intend to calculate the atomic and electronic structure of nanoparticles on a quantum-mechanical level. The mathematical core of this modeling is a sequence of large and sparse eigenvalue problems. In this talk, I will present the special requirements of the solutions, the challenges on the computational method, our algorithmic approach and software development. Numerical implementation on the advanced distributed computers will be demonstrated.

This work also demonstrates how to efficiently develop special-purpose application code on the top of available parallel software packages. By the end of the talk, as a PETSc developer, I will give a demo on using PETSc (Portable, Extensible Toolkit for Scientific Computation) as a tool for large scale numerical simulation.

Junior Topology Seminar

Posted April 23, 2007

3:10 pm - 4:00 pm Lockett 276Seminar on knot homology theories and related topics

Cody Armond (LSU) : On Rasmussen's relation between Khovanov homology and sliceness

Control and Optimization Seminar
Questions or comments?

Posted April 23, 2007

11:40 am - 12:30 pm Room 239 Lockett
Peter Wolenski, LSU Department of Mathematics
Russell B. Long Professor

The role of convexity in optimization and control theory (Part II)

Abstract: This talk will broadly survey the role of convexity in optimization theory, and outline its special place in optimal control. Roughly speaking, convexity plays the role in optimization analogous to that enjoyed by linearity in dynamical system theory. We shall illustrate this by discussing the features of local vs. global statements, generalized differentiation, duality, and representation formulas.

Harmonic Analysis Seminar
Abstract and additional information

Posted April 24, 2007

3:40 pm - 4:30 pm Lockett 381
Hongyu He, Department of Mathematics, LSU

Introduction to Theta Correspondence III

In this talk, I will introduce Howe's dual reductive pair. I will then discuss the basic theory of theta correspondence and its application in representation theory. The talk will be accessible to graduate students.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 25, 2007

9:00 am 338 Johnston Hall
Larry Bergman, California Institute of Technology, Jet Propulsion Laboratory
Manager of the Mission Computing and Autonomous Systems Research Program Office at the jet Propulsion Laboratry (JPL).

"The Role of Information Technology in Robotic Space Exploration."

Probability Seminar
Questions or comments?

Posted April 19, 2007

4:00 pm Lockett 240
Walfredo Javier, Department of Mathematics, Southern University

Mutual information of certain multivariate distributions

Posted April 23, 2007

5:00 pm 237 Lockett Hall
Sharon Besson, Cain Center
Geaux Teach Program Manager

Geaux Teach: LSU's Secondary Teacher Preparation Program

See poster at http://www.math.lsu.edu/~malisoff/MathClub/SharonBessonMathClubTalkPoster.pdf.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 25, 2007

3:00 pm 338 Johnston Hall
H. J. Siegel, Colorado State Univ., Dept. of Electrical and Comp. Engr. and Dept. of Comp. Sci.

"An Intro to Research Issues in Heterogeneous Parallel & Distributed Computing."

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 25, 2007

4:10 pm 338 Johnston Hall
H. J. Siegel, Colorado State Univ., Dept. of Electrical and Comp. Engr. and Dept. of Comp. Sci.

"Colorado State's Information Science & Technology Center (ISTeC)."

Posted April 7, 2007

3:30 pm The James Kiesler Lounge 319 Lockett HallSpring Math Awards Ceremony

The Porcelli Award for Academic Excellence, the Porcelli Scholarships, the Betti and Robert Giles Senior Mathematics Award, the David Oxley Memorial Graduate Student Teaching Award, and Certificates of Teaching Excellence (for graduate assistants) will be awarded. Refreshments will be provided.

Applied Analysis Seminar
Questions or comments?

Posted February 12, 2007

Last modified April 23, 2007

Lia Bronsard, Mc Master University,

Ginzburg-Landau vortices concentrating on curves.

We study the two-dimensional Ginzburg-Landau functional for superconductivity and the related Gross-Pitaevskii functional for Bose-Einstein Condensate. In a convex simply-connected domain, Serfaty has shown that the vortices accumulate around a single point in the domain as the Ginzburg--Landau parameter $kappatoinfty$. Our previous papers (with Aftalion and Alama) on multiply connected domains show that vortices may instead accumulate on an appropriate curve as $kappatoinfty$. In our recent result with S. Alama and V. Millot, we study the number and distribution of these vortices along the curve of concentration. Their distribution is determined by a classical problem from potential theory.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 25, 2007

Last modified April 30, 2007

Mary Fanett Wheller, University of Texas at Austin
Center for Subsurface Modeling, Institute for Computational Engineering and Sciences

Multiscale Discretizations for Flow, Transport and Mechanics in Porous Media.

There will be a reception at 1:00. Additional information, including the abstract, is available here.

Faculty Meeting
Questions or comments?

Posted April 17, 2007

2:30 pm Lockett 16Meeting with the Dean

The Dean's annual meeting with the mathematics faculty.

Algebra and Number Theory Seminar
Questions or comments?

Posted April 24, 2007

Last modified April 27, 2007

Jens Hornbostel, University of Regensburg, Germany

Rigidity theorems for A^1-representable theories

We prove that for a large class of A^1-representable theories including

all orientable theories it is possible to construct transfer maps and to

prove rigidity theorems similar to those of Gabber for algebraic

K-theory. This extends rigidity results

of Panin and Yagunov from algebraically closed fields to arbitrary

infinite ones.

Control and Optimization Seminar
Questions or comments?

Posted May 1, 2007

11:40 am - 12:30 pm Room 239 Lockett
Peter Wolenski, LSU Department of Mathematics
Russell B. Long Professor

The role of convexity in optimization and control theory (Part III)

Abstract: This talk will broadly survey the role of convexity in optimization theory, and outline its special place in optimal control. Roughly speaking, convexity plays the role in optimization analogous to that enjoyed by linearity in dynamical system theory. We shall illustrate this by discussing the features of local vs. global statements, generalized differentiation, duality, and representation formulas.

Colloquium
Questions or comments?

Posted March 30, 2007

Last modified April 26, 2007

William Velez, The University of Arizona

Increasing the number of mathematics majors

Abstract

In the late 1980?s I began my efforts to increase the success rate of minorities in first semester calculus. The interventions that I devised were very time consuming and as the number of minority students increased, I could not manage that kind of effort. I developed my Calculus Minority Advising Program in an effort to meet with scores of minority students each semester. This program consists of a twenty-minute meeting with each student at the beginning of each semester. These meetings with students eventually transformed my own attitude about the importance of mathematics in their undergraduate curriculum.

I took over the position of Associate Head for Undergraduate Affairs in the department four years ago. I set a very modest goal for myself: to double the number of mathematics majors. With almost 500 mathematics majors I have reached that goal. I think the next doubling is going to be much harder to achieve. My work with minority students provided me with the tools to accept this new challenge of working with all students.

This talk will describe my own efforts to encourage ALL of our students that a mathematics major, or adding mathematics as a second major, is a great career choice.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 26, 2007

12:00 pm 338 Johnston Hall
Luisa T. Buchman, Univeristy of Texas at Austin
Research Fellow

"Improved outer boundary conditions for Einstein's field equations."

A^1-homotopy theory seminar

Posted April 24, 2007

1:00 pm - 3:00 pm Lockett 381
Jens Hornbostel, University of Regensburg, Germany

Homotopy coniveau and slice filtration in stable A^1 homotopy theory (after Levine and Voevodsky)

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 26, 2007

3:00 pm A101 Life Sciences Building Annex"Enterprise Transformation and the Future of Higher Education."

During the 130 years between 1860 and 1990 higher education was transformed, evolving from a limited province fo the cultural elite to a great instrument of state material and martial strength.

Colloquium
Questions or comments?

Posted April 23, 2007

Last modified April 26, 2007

Raul Quiroga, Centro de Investigacion en Matematicas (cimat)

Actions of Noncompact Simple Lie Groups on Pseudo Riemannian Manifolds

Let

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 26, 2007

3:00 pm 338 Johnston Hall
Q. Jim Chen, Louisiana State University
Associate Professor of Civil and Environmental Engineering

"Multi-scale modeling of storm surges and water waves."

Abstract: More than 50% of the U.S. population lives within 50 miles of the shoreline and the coastal population continues to grow.

Harmonic Analysis Seminar
Abstract and additional information

Posted May 4, 2007

3:40 pm - 4:30 pm Lockett 381
Raul Quiroga, Centro de Investigacion en Matematicas (cimat)

Rigidity results for pseudoRiemannian manifolds

Abstract: We will continue our discussion of compact pseudoRiemannian manifolds with a noncompact simple Lie group of isometries. It will be seen that such pseudoRiemannian manifolds have two very remarkable properties: 1) they carry large local isotropy groups, 2) they are locally homogeneous on an open dense subset. These will allow us to describe some structure results for the pseudoRiemannian manifolds considered. As a consequence, we will prove that if $M$ is an irreducible pseudoRiemannian manifold with an isometric action of $SO(p,q)$ and $dim(M) \leq dim(SO(p,q)) + p + q$, then the universal covering space of $M$ is a noncompact simple Lie group.

Harmonic Analysis Seminar
Abstract and additional information

Posted May 3, 2007

3:40 pm - 4:30 pm Lockett 381
Hongyu He, Department of Mathematics, LSU

Introduction to Theta Correspondence IV

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted May 3, 2007

11:00 am 218 Johnston Hall
Joel de Guzman, Boost Consulting

"A cookbook approach to parsing and output generation with Spirit2"

Abstract: Spirit2 will debut at the Boost conference. It will be a complete parsing and output generation system that attempts to cover the whole spectrum from lexing to output generation.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted May 3, 2007

2:00 pm Design Building Room Auditorium
Turner Whitted, Microsoft Research Pioneer in three-dimensional Computer Graphics

"Procedural Graphics"

Abstract: The re-introduction of programmability into graphics hardware has produced a tremendously flexible imaging platform.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted May 9, 2007

3:00 pm 338 Johnston Hall
Robert Moorhead, Mississippi State University
Director of Visualizarion Analysis and Imaging Lab
Professor of Electrical and Computer Engineering
Associate Director of GeoResources Institute

"The High Performance Computing Collaboratory at MSU."

The High Performance Computing Collaboratory (HPC2) at Mississippi State University is a federation of 5 entities, all focused on HPC applications.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted May 9, 2007

3:30 pm 338 Johnston Hall
Song Zhang, Mississippi State University
Assistant Professor in the Department of Computer Science and Engineering

"Tensor Visualization For Finding Structures in Brain and Nematic Liquid Crystal."

Abstract: Matrix-valued datasets (so-called tensor field) have become more common in various disciplines of science. Compared to scalar dataset or vector field, tensor field incorporates more information at any one data point.

Posted May 21, 2007

8:30 am - 6:00 pm Thursday, May 31, 2007 237 Lockett HallLouisiana Workshop on Mathematical Control Theory (MCT'07)

See this link.

Posted May 9, 2007

until Sunday, June 3, 2007 tbaA second time around the Volume conjecture

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted May 22, 2007

1:30 pm 152 Coates Hall
James Demmel, University of California - Berkeley
Richard Carl Dehmel Distinguished Professor of Computer Science and Mathematics

"The Future of High Performance Linear Algebra."

Abstract: Linear algebra is at the core of much scientific and engineering computing problem, so faster and more accurate algorithms and software are always welcome. We survey three areas of recent progress.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted May 25, 2007

3:00 pm 145 Coates Hall
Michael Lesk, Rutgers University
Professor of Library and Information Science

"Scientific Data Libraries: Changing Research."

Reception at 2:30 p.m. in 145 Coates Hall. Abstract: The traditional paradigm of scientific research is being changed by our ability to gather enormous quantities of data with sensors and store them online.

Posted July 19, 2007

Last modified July 20, 2007

Workshop on Control Theory and Mathematical Biology (Day 1 of 2)

Note: This is a TWO-DAY WORKSHOP, starting on Thursday July 26th at 8:30AM, and ending on Friday July 27th at 4:30PM. See http://www.math.lsu.edu/~malisoff/MCTMB.html for updated information.

Posted July 20, 2007

8:30 am Location TBAWorkshop on Control Theory and Mathematical Biology (Day 2 of 2)

Note: This is a TWO-DAY WORKSHOP, starting on Thursday July 26th at 8:30AM, and ending on Friday July 27th at 4:30PM. See http://www.math.lsu.edu/~malisoff/MCTMB.html for updated information.

Posted August 7, 2007

until Saturday, August 25, 2007 Room 244 Lockett: other locations for special activitiesGEAUX

This is the **Graduate Education and Acclimation to the University eXperience**. Current graduate students conduct orientation activities for all the new Mathematics graduate students. See the GEAUX calendar at GEAUX.

Posted August 7, 2007

7:45 am - 12:00 pm Friday, August 17, 2007 Campbell Auditorium, Cox Communication BuildingRequired Orientation for All New International Graduate Students at LSU

Bring ID such as passport. This is where an international student receives an appointment for the required written English test and the required spoken English interview.

Posted August 7, 2007

1:30 pm - 4:00 pm Room 285 LockettComprehensive / PhD Qualifying Exam in Core-1 Topology

For further information visit Graduate Exams.

Posted August 7, 2007

1:30 pm - 4:00 pm Room 285 Lockett Originally scheduled for 1:30 pmComprehensive / PhD Qualifying Exam in Core-1 Analysis

For further information see Graduate Exams.

Posted August 7, 2007

1:30 pm - 4:00 pm Room 285 Lockett HallComprehensive / PhD Qualifying Exam in Core-1 Algebra

For further information see Graduate Exams.

Posted August 7, 2007

12:30 pm - 4:00 pm 285 LockettComprehensive / PhD Qualifying Exams: All Core-2 Tests

For further information see Graduate Exams

Applied Analysis Seminar
Questions or comments?

Posted August 16, 2007

Last modified August 22, 2007

Shinnosuke Oharu, Chuo University, Japan

Ecological models of red tide plankton in the coastal ocean.

Abstract: This talk will be concerned with a mathematical model consisting of an ecological model for a specific species of plankton and an ocean model, numerical models consistent with the PDE models, and computer simulations by means of new CFD methods.

Faculty Meeting
Questions or comments?

Posted August 20, 2007

Last modified August 22, 2007

Meeting of Research Faculty

Visitors for the academic year and other miscellaneous topics.

Geometry and Topology Seminar
Seminar website

Posted August 27, 2007

Last modified August 31, 2007

Adam Lowrance, Department of Mathematics, Vassar College

On Knot Floer Width and Turaev Genus

Geometry and Topology Seminar
Seminar website

Posted September 5, 2007

4:30 pm - 5:30 pm Lockett 276
Steve Wallace, LSU

Surgery untying of knots

Seminar on Algebraic K-theory and Grothendieck-Witt groups

Posted September 5, 2007

1:40 pm - 3:30 pm Lockett 381
Marco Schlichting, Louisiana State University

Overview and Motivation

Control and Optimization Seminar
Questions or comments?

Posted September 9, 2007

2:30 pm - 3:30 pm Prescott 205
Alvaro Guevara, Dept of Mathematics, LSU

Student Seminar on Control Theory and Optimization

Introduction to Convex Analysis II

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted August 17, 2007

3:00 pm A101 Auditorium Life Sciences Building Annex
Tinsley Oden, University of Texas at Austin
Director, Institute for Computational Engineering and Sciences

Adaptive Multiscale Modeling of Large-Scale Molecular Systems

Frontiers of Scientific Computing Lecture Series There will be a reception at 4:00 pm. More info

Geometry and Topology Seminar
Seminar website

Posted September 7, 2007

3:40 pm - 4:30 pm Biological Sciences Annex Building - A663
Moshe Cohen, Department of Mathematics, Bar-Ilan University, Israel

Introductory remarks on Khovanov homology

This is a virtual topology seminar together with U Iowa

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted September 11, 2007

2:00 pm 338 Johnston Hall
Philip Maechling, University of Southern California
Information Technology Architect, Southern California Earthquake Center

"Seismic Hazard Modeling using Heterogeneous Scientific Workflows"

Abstract: As a part of the Southern California Earthquake Center (SCEC) program of seismic hazard research, we are using scientific workflow technologies to run large-scale high performance and high throughput scientific applications.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted September 13, 2007

3:00 pm 338 Johnston Hall
Poojitha Yapa, Clarkson University
Porfessor, Department of Civil and Environmental Engineering

"Modeling Oil and Gas Discharges from Deepwater Blowouts."

Abstract: A computer model (CDOG) developed to simulate the behavior of oil and gas accidentally released from deepwater is presented. Deepwater is considered to be water depths in excess of 800 m.

Geometry and Topology Seminar
Seminar website

Posted September 7, 2007

4:40 pm - 5:30 pm Lockett 276
Hee Jung Kim, Department of Mathematics, LSU

Topological triviality of smoothly knotted surfaces in 4-manifolds

Seminar on Algebraic K-theory and Grothendieck-Witt groups

Posted September 18, 2007

1:40 pm - 3:00 pm
Marco Schlichting, Louisiana State University

Exact categories and Quillen's Q-construction

Faculty Meeting
Questions or comments?

Posted August 20, 2007

3:10 pm Lockett 6Meeting of the tenured faculty

Promotion and tenure cases will be reviewed.

Student Seminar

Posted September 16, 2007

2:40 am - 3:30 am 203 Prescott
Silvia Jimenez, Dept of Mathematics, LSU

Student Seminar on Control Theory and Optimization

Lower Bounds on Field Concentrations

Geometry and Topology Seminar
Seminar website

Posted September 13, 2007

Last modified September 18, 2007

Neal Stoltzfus, Mathematics Department, LSU

Quasi-Trees and Khovanov homology

Virtual Seminar together with U Iowa

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted September 13, 2007

2:00 pm 338 Johnston Hall
Brygg Ullmer, Louisiana State University
Assistant Professor
Department of Computer Science
Center for Computation and Technology

"Tangible Interfaces for Visualization, Collaboration, and Education."

Abstract: Over the last decade, there has been rapidly growing interest in bridging human interaction between the physical and digital worlds.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted September 13, 2007

1:00 pm 338 Johnston Hall
Thomas Fahringer, University of Insbruck-Austria
Institute of Computer Science

Radu Prodan, University of Innsbruck-Austria
Institute of Computer Science

"ASKALON: An Application Development and Runtime Environment for the Grid."

In this presentation we describe the ASKALON Grid application development and computing environment whose ultimate goal is to provide an invisible Grid to the application developer.

Applied Analysis Seminar
Questions or comments?

Posted September 14, 2007

Last modified September 21, 2007

Édouard Oudet, Laboratoire de Mathématiques, Université de Savoie, France

Constant width bodies in dimension 3

A body (that is, a compact connected subset *K* of **R**^{n}) is said to be of *constant width α* if its projection on any straight line is a segment of length *α>0*, the same value for all lines.

We present in this talk a complete analytic parametrization of constant width bodies in dimension 3 based on the median surface: more precisely, we define a bijection between some space of functions and constant width bodies. We compute simple geometrical quantities like the volume and the surface area in terms of those functions. As a corollary we give a new algebraic proof of Blaschke's formula. Finally, we present some numerical computations based on the preceding parametrization.

É. Oudet will be visiting the department this week (9/24 - 9/28). If you want to schedule a meeting with him, contact B. Bourdin.

Geometry and Topology Seminar
Seminar website

Posted September 19, 2007

4:40 pm - 5:30 pm Lockett 276
Scott Baldridge, Louisiana State University

A symplectically aspherical manifold with b_1=1

K-theory and Grothendieck-Witt groups

Posted September 21, 2007

1:40 pm - 3:00 pm Lockett 381
Marco Schlichting, Louisiana State University

The fundamental group of Quillen's Q-construction

Posted September 26, 2007

2:40 am - 3:30 am Prescott 203
Rick Barnard, LSU Department of Mathematics
Advanced graduate student.

Student Seminar on Control and Optimization

Introduction to Differential Inclusions math.lsu.edu/dept/student_control_opt

Geometry and Topology Seminar
Seminar website

Posted September 24, 2007

3:40 pm - 4:30 pm Biological Sciences Annex Building - A663
Adam Lowrance, Department of Mathematics, Vassar College

On knot Floer width and Turaev genus, Part I

Virtual Seminar together with U Iowa

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted September 24, 2007

11:00 am 338 Johnston Hall
Ravi Vadapalli, Texas Tech University
Research Scientist, High Performance Computing Center, Applicant for CCT's CyD IT Analyst Position

"Deploying Regional Cyberinfrastructure for Strategic Appl. Development & Support"

Abstract: Grid Computing is an emerging collaborative computing paradigm to extend institutional/organization specific high performance computing capabilities greatly beyond local resources.

Applied Analysis Seminar
Questions or comments?

Posted September 28, 2007

3:40 pm - 4:30 pm Lockett Hall 233
Burak Aksoylu, Department of Mathematics and CCT

Physics-based preconditioners for solving PDEs on highly heterogeneous media

Eigenvalues of smallest magnitude become a major bottleneck for iterative solvers especially when the underlying physical properties have severe contrasts. These contrasts are commonly found in many applications such as composite materials, geological rock properties and thermal and electrical conductivity.

The main objective of this work is to construct a method as algebraic as possible that could efficiently exploit the connectivity of highly heterogeneous media in the solution of diffusion operators. We propose an algebraic way of separating binary-like systems according to a given threshold into high- and low-conductivity regimes of coefficient size O(m) and O(1), respectively where m >> 1. The condition number of the linear system depends both on the mesh size Δ x and the coefficient size $m$. For our purposes, we address only the m dependence since the condition number of the linear system is mainly governed by the high-conductivity subblock. Thus, the proposed strategy is inspired by capturing the relevant physics governing the problem. Based on the algebraic construction, a two-stage preconditioning strategy is developed as follows: (1) a first stage that comprises approximation to the components of the solution associated to small eigenvalues and, (2) a second stage that deals with the remaining solution components with a deflation strategy (if ever needed). The deflation strategies are based on computing near invariant subspaces corresponding to smallest and deflating them by the use of recycled the Krylov subspaces.

Due to its algebraic nature, the proposed approach can support a wide range of realistic geometries (e.g., layered and channelized media). Numerical examples show that the proposed class of physics-based preconditioners are more effective and robust compared to a class of Krylov-based deflation methods on highly heterogeneous media. We also report on singular perturbation analysis of the stiffness matrix and the impact of the number of high-conductive regions on various matrices.

Geometry and Topology Seminar
Seminar website

Posted September 24, 2007

4:40 pm - 5:30 pm Lockett 276
Scott Baldridge, Louisiana State University

A symplectically aspherical manifold with b_1=1, Part II

Seminar on algebraic K-theory and Grothendieck-Witt groups

Posted October 2, 2007

1:40 pm - 3:00 pm Lockett 381
Marco Schlichting, Louisiana State University

Quillen's theorems A and B

Geometry and Topology Seminar
Seminar website

Posted September 24, 2007

3:40 pm - 4:30 pm Biological Sciences Annex Building - A663
Adam Lowrance, Department of Mathematics, Vassar College

On knot Floer width and Turaev genus,Part II

Virtual Seminar together with U Iowa

Harmonic Analysis Seminar
Abstract and additional information

Posted September 28, 2007

3:40 pm - 4:30 pm Lockett 381
Jens Christensen, Mathematics Department, LSU

Bergman spaces and representations of SL_2

Graduate Students are encouraged to attend. Abstract: I will start by presenting a general framework for describing Banach spaces by use of representations. Next I will take a closer look at a specific representation leading to a characterization of Bergman spaces on the unit disc. The talk will most likely be split on two days.

Probability Seminar
Questions or comments?

Posted October 1, 2007

3:40 pm Lockett 381
Ambar Sengupta, Mathematics Department, LSU

Gaussian Matrix Integrals

Posted October 1, 2007

4:30 pm Keisler Lounge, Lockett
Leonard F. Richardson, Mathematics Department, LSU

An Informal Presentation about Graduate Study in Mathematics

See https://www.math.lsu.edu/dept/ugrad/mathclub for details.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted September 24, 2007

2:00 pm 338 Johnston Hall
Barbara Chapman, University of Houston
Department of Computer Science

"OpenMP In The Multicore Era."

Dual-core machines are actively marketed for destop and home computing. Sysems with a larger number of cores are deployed in the server market. Some cores are capable of executing multiple threads.

K-theory and Grothendieck-Witt groups

Posted October 9, 2007

1:40 pm - 3:00 pm Lockett 381
Marco Schlichting, Louisiana State University

Quillen's fundamental theorems

Geometry and Topology Seminar
Seminar website

Posted October 1, 2007

3:40 pm - 4:30 pm Biological Sciences Annex Building - A663
Moshe Cohen, Department of Mathematics, Bar-Ilan University, Israel

On a result of Ozsvath and Manolescu

Virtual Seminar together with U Iowa

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted September 19, 2007

3:00 pm Johnston Hall 338
Doug Arnold, Institute for Mathematics and its Applications, Minneapolis
Director

Finite Element Exterior Calculus: A New Approach To The Stability Of Finite Elements

Geometry and Topology Seminar
Seminar website

Posted October 2, 2007

4:40 pm - 5:30 pm Lockett 276
Neal Stoltzfus, Mathematics Department, LSU

The Bollobas-Riordan-Tutte polynomial as a tri-graded Poincare-polynomial (due to N. Forman)

Colloquium
Questions or comments?

Posted September 19, 2007

Last modified October 1, 2007

Doug Arnold, Institute for Mathematics and its Applications, Minneapolis
Director

The Institute for Mathematics and its Applications

Abstract: The Institute for Mathematics and its Applications (IMA) in Minneapolis is a leading research center, founded by the National Science Foundation in 1982. The primary mission of the IMA is to increase the impact of mathematics by fostering interdisciplinary research linking mathematics with important scientific and technological problems from other disciplines, industry, and society. Through a variety of programs, it provides opportunities for scientists, mathematicians, and engineers from academia and government labs and industry to make contact and interact with each other, to learn about new developments, and to stimulate the study of interesting and relevant problems and their solution. In this informal presentation the director of the IMA will discuss IMA operations, upcoming programs, and outcomes, in order to promote participation and gather input from LSU researchers.

Seminar on K-theory and Grothendieck-Witt groups

Posted October 14, 2007

Last modified October 16, 2007

Marco Schlichting, Louisiana State University

K(Z) and the Vandiver conjecture

Student Semina

Posted October 16, 2007

2:40 pm - 3:30 pm Prescott 203
Qinqxia Li, LSU Math Dept.

An Introduction to Multi-objective optimal control problem

Geometry and Topology Seminar
Seminar website

Posted October 3, 2007

Last modified October 11, 2007

John Etnyre, Georgia Institute of Technology

A geometric reason for the non-sharpness of Bennequin's inequality for some fibered knots

Virtual Seminar together with U Iowa

Harmonic Analysis Seminar
Abstract and additional information

Posted September 28, 2007

3:40 pm - 3:30 pm Lockett 381
Jens Christensen, Mathematics Department, LSU

Bergman spaces and representations of SL_2 II

Graduate Students are encouraged to attend. Abstract: I will start by presenting a general framework for describing Banach spaces by use of representations. Next I will take a closer look at a specific representation leading to a characterization of Bergman spaces on the unit disc. The talk will most likely be split on two days.

Posted October 15, 2007

1:40 pm 232 Lockett
John Etnyre, Georgia Institute of Technology

Knot Colorings---From Grade School to Grad School (and Back?) in One Hour

See https://www.math.lsu.edu/dept/ugrad/mathclub for a list of upcoming math club activities and an abstract and poster for this talk.

Colloquium
Questions or comments?

Posted September 28, 2007

Last modified October 8, 2007

John Etnyre, Georgia Institute of Technology

Invariants of embeddings via contact geometry

Abstract:
I will describe a method to define, hopefully new, invariants of any
embedded submanifold of Euclidean space. To define this invariant we
will need to take an excursion into the realm of contact geometry and
a recent generalization of Floer homology called contact homology.
More specifically, after recalling various notions from contact
geometry, I will show how to associate a Lagrangian submanifold to
any embedded submanifold of Euclidean space. The invariant of the
embedding will be the contact homology of this Lagrangian. Though the
definition of this invariant is somewhat complicated it is possible
to compute it for knots in Euclidean 3-space. Lenny Ng has
combinatorially studied this invariant for such knots and has shown
that it does not seem to be determined by previously known invariants
but non the less has some connections with the classical Alexander
polynomial of a knot. I will concentrate on the more geometric
aspects of the invariant and ongoing work of Tobias Ekholm, Lenny Ng,
Michael Sullivan and myself aimed at a better understanding of the
invariant (in particular, showing that it is well defined in some
generality).

There will be coffee and cookies in the lounge at 3:00.

Applied Analysis Seminar
Questions or comments?

Posted October 9, 2007

Last modified October 22, 2007

Michael Zabarankin, Stevens Institute of Technology

Generalized Analytic Functions in 3D Axially Symmetric Stokes Flows

Abstract

A class of generalized analytic functions, defined by a special case of

the Carleman system that arises from related potentials encountered in

various areas of applied mathematics has been considered. Hilbert

formulas, establishing relationships between the real and imaginary

parts of a generalized analytic function from this class, have been

derived for the domains exterior to the contour of spindle, lens,

bi-spheres and torus in the meridional cross-section plane. In

bi-spherical and toroidal coordinates, this special case of the Carleman

system has been reduced to a second-order difference equation with

respect to either the coefficients in series or densities in integral

representations of the real and imaginary parts. For spindle and lens,

the equation has been solved in the framework of Riemann boundary-value

problems in the class of meromorphic functions. For torus, the equation

has been solved by means of the Fourier transform, while for bi-spheres,

it has been solved by an algebraic method. As examples, analytical

expressions for the pressure in the problems of the 3D axially symmetric

Stokes flows about rigid spindle, biconvex lens, bi-spheres and torus

have been derived based on the corresponding Hilbert formulas.

Geometry and Topology Seminar
Seminar website

Posted October 22, 2007

4:40 pm - 5:30 pm Lockett 276
Neal Stoltzfus, Mathematics Department, LSU

The Bollobas-Riordan-Tutte polynomial as a tri-graded Poincare-polynomial (due to N. Forman), Part II

Seminar on K-theory and Grothendieck-Witt groups

Posted October 18, 2007

1:40 pm Lockett 381
Jerome W. Hoffman, Mathematics Department, LSU

Algebraic cycles

Posted October 8, 2007

4:00 pm - 5:30 pm Room 9, Lockett HallCareer Guidance for Graduate Students - a Faculty Panel Discussion with Questions

A faculty panel--Drs. Cohen, Dasbach, Sengupta and Shipman will join the Chair and the Graduate Director in providing career guidance for students. This meeting is required of all graduate students who have passed the General Exam. Others are very warmly encouraged to attend as well--it being never too early to plan ones career. *Refreshments will be served first at 3:30 in the Lounge.*

Geometry and Topology Seminar
Seminar website

Posted October 22, 2007

3:40 pm - 4:30 pm Biological Sciences Annex Building - A663
Charles Frohman, University of Iowa

On Bar-Natan's skein module

Virtual Seminar together with U Iowa (talk this week is from Iowa)

Harmonic Analysis Seminar
Abstract and additional information

Posted October 17, 2007

3:40 pm - 4:30 pm Lockett 381
Jens Christensen, Mathematics Department, LSU

Bergman spaces and representations of SL_2 III

Graduate Students are encouraged to attend. Abstract: I will start by presenting a general framework for describing Banach spaces by use of representations. Next I will take a closer look at a specific representation leading to a characterization of Bergman spaces on the unit disc. The talk will most likely be split on two days.

Colloquium
Questions or comments?

Posted September 14, 2007

Last modified September 20, 2007

Alex Iosevich , University of Missouri-Columbia

Some examples of interaction between harmonic analysis, geometric
measure theory, combinatorics and number theory

Abstract: Many problems stated in analytic terms often turn out to be, in

essence, problem in combinatorics or number theory. The opposite phenomenon,

where number theoretic or combinatorical problems are fundamentally analytic in

nature is equally ubiquitous. We shall discuss this phenomonon from a

systematic point of view and will outline mechanisms that allow one to transfer

techniques and ideas from area to another.

There will be coffee and cookies in the lounge at 3:00.

Posted October 22, 2007

Last modified October 25, 2007

Alex Iosevich , University of Missouri-Columbia

Cauchy-Schwarz Inequality or... If the Elephant if Fat, then There Must Be a Way to Place a Mirror to Make This Obvious...

See https://www.math.lsu.edu/dept/ugrad/mathclub for a list of upcoming math club activities and an abstract and poster for this talk.

Harmonic Analysis Seminar
Abstract and additional information

Posted September 19, 2007

Last modified September 24, 2007

Alex Iosevich , University of Missouri-Columbia

Bounds for discrete Radon transforms and application to problems in geometric combinatorics and additve number theory

Posted September 5, 2007

Last modified September 7, 2007

Non-Thesis MS Final Exam, concluding event.

The Committee will be Profs. Richardson (chair), Adkins, and Dasbach. This is the concluding event of the Comprehensive Final Exam for the non-thesis MS.

Applied Analysis Seminar
Questions or comments?

Posted October 4, 2007

3:40 pm - 4:30 pm Lockett 233
Thirupathi Gudi, CCT, LSU

Local Discontinuous Galerkin Methods for Elliptic Problems

Geometry and Topology Seminar
Seminar website

Posted October 24, 2007

4:40 pm - 5:30 pm Lockett 276
Ambar Sengupta, Mathematics Department, LSU

Gaussian Matrix Integrals

Abstract: The talk of the same title given in the probability seminar concluded with a definition of a who a topologist is. In this talk we will strive to define a probabilist. Along the way we shall examine the representation of Gaussian integrals of matrix-trace functions in terms of sums over surfaces of varying genus. This is an illustration of a broader phenomenon of integrals arising from physical theories having topological interpretations.

Seminar on K-theory and Grothendieck-Witt groups

Posted October 29, 2007

1:40 pm Lockett 381
Jerome W. Hoffman, Mathematics Department, LSU

Algebraic cycles II

Geometry and Topology Seminar
Seminar website

Posted October 25, 2007

3:40 pm - 4:30 pm Biological Sciences Annex Building - A663Jeff Boerner (U Iowa): On the Asaeda-Przytycki-Sikora homology

Virtual Seminar together with U Iowa (talk this week is from Iowa)

Harmonic Analysis Seminar
Abstract and additional information

Posted October 5, 2007

3:40 pm - 4:30 pm Lockett 381
Martin Laubinger, LSU
Graduate Student

Complex Structures on Principal Bundles

Holomorphic principal G-bundles over a complex manifold M can be studied using non-abelian cohomology groups H1(M,G). On the other hand, if M=\Sigma is a closed Riemann surface, there is a correspondence between holomorphic principal G-bundles over \Sigma and coadjoint orbits in the dual of a central extension of the Lie algebra C^\infty(\Sigma, \g). We review some of these results and use a Theorem of A. Borel to give more detail in the case of \Sigma having genus one. The talk is based on my diplom thesis, a short version of which is available on the ArXiv: arXiv:0708.3261v1

Geometry and Topology Seminar
Seminar website

Posted October 25, 2007

Last modified October 30, 2007

Junior Topology Seminar

This is a reading seminar. See this announcement

Posted November 1, 2007

4:30 pm 232 LockettAn Overview of Spring 2008 Math Course Offerings Followed by Elections

Check https://www.math.lsu.edu/dept/ugrad/mathclub for details about all math club activities.

Combinatorics Seminar
Questions or comments?

Posted October 26, 2007

11:40 am - 12:30 pm 113 Lockett Hall
Deborah Chun, LSU
Graduate student

Deletion-contraction to form a polymatroid

All welcome

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted October 30, 2007

2:00 pm 338 Johnston Hall
Valerie Taylor, Department of Computer Science, Texas A&M University
Department Head and Royce E. Weisenbaker Professorship II

"Performance Analysis and Optimization of Large-scale Scientific Applications

Abstract: The current trend in high performance computing systems is shifting towards cluster systems with CMPs (chip multiprocessors).

Posted September 19, 2007

Last modified October 19, 2007

Burak Aksoylu, Department of Mathematics and CCT

Jimmie Lawson, Mathematics Department, LSU

Richard A. Litherland, Mathematics Department, LSU

Marco Schlichting, Louisiana State University

Graduate Student Picnic/Orientation Conference - Program

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted October 10, 2007

Last modified November 4, 2007

Qiang Du, Department of Mathematics, Pennsylvania State University

Phase Field Models and Simulations of Some Interface Problems

Part of the Frontiers of Scientific Computing Lecture Series

Abstract: In this talk, Dr. Du will report some recent works on the phase field modeling and simulation of interface problems in materials science and biology.

Seminar on K-theory and Grothendieck-Witt groups

Posted November 4, 2007

Last modified November 5, 2007

Jerome W. Hoffman, Mathematics Department, LSU

Mumford's counter-example

for more information, see the seminar webpage

Algebra and Number Theory Seminar
Questions or comments?

Posted November 2, 2007

Last modified November 4, 2007

Daniel Sage, Mathematics Department, LSU

Perverse coherent sheaves and special pieces in the unipotent variety

Geometry and Topology Seminar
Seminar website

Posted November 4, 2007

3:40 pm - 4:30 pm Biological Sciences Annex Building - A663Heather Russell (U Iowa): Embedded Khovanov homology of S^1\times D^2 and the homology of the (n,n)-Springer Fiber

Virtual Seminar together with U Iowa (talk this week is from Iowa)

Faculty Meeting
Questions or comments?

Posted November 5, 2007

3:40 pm Lockett 9Faculty Meeting about VIGRE

The meeting to discuss the VIGRE grant proposal and the upcoming site visit, which is scheduled for December 6th.

Geometry and Topology Seminar
Seminar website

Posted November 6, 2007

12:40 pm - 1:30 pm Lockett 119Junior Topology Seminar

Reading seminar. See here

Colloquium
Questions or comments?

Posted September 14, 2007

Last modified November 5, 2007

Clint Dawson, University of Texas at Austin

Simulation of Coupled Ground Water/Surface Water Flow

Abstract: There is strong evidence that the supply and quality of
water are influenced by interactions between water stored at the
surface and water stored in the subsurface. There have been a few
efforts at modeling this interaction, but a number of outstanding
questions still remain. In this talk we will address the mathematical
modeling and numerical simulation of coupled ground water/surface
water flow. Mathematical modeling issues include determining the
appropriate models of flow within each subdomain, and determining the
interface or boundary conditions to couple the models. Given a model,
the next question is how to solve it. Here we will discuss an approach
based on the discontinuous Galerkin (DG) method. A priori error
analysis for a DG formulation for a shallow water model coupled with
saturated ground water flow will be presented. Numerical results will
also be discussed for several practical scenarios. We will also
discuss recent analysis and results for a simplified surface water
flow model, the diffusive wave approximation.

There will be coffee and cookies in the lounge at 3:00.

Posted November 5, 2007

5:00 pm 232 Lockett
James Madden, Mathematics Department, LSU

Conservation of Momentum: Euclid, Newton and Noether

Check https://www.math.lsu.edu/dept/ugrad/mathclub for a schedule of math club events and abstracts of the talks. All undergrads are invited.

Combinatorics Seminar
Questions or comments?

Posted November 7, 2007

11:40 am - 12:30 pm 113 Lockett Hall
Moshe Cohen, Department of Mathematics, Bar-Ilan University, Israel

Ribbon Graphs and Quasi-trees

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted October 30, 2007

2:00 pm 338 Johnston Hall"Quantum Technologies --- The Second Quantum Revolution!"

Abstract: We are currently in the midst of a second quantum revolution. The first quantum revolution gave us new rules that govern physical reality. The second quantum revolution will take these rules and use them to develop new technologies.

Faculty Meeting
Questions or comments?

Posted November 7, 2007

3:40 pm Lockett 9Meeting of the Tenured and Tenure-track Faculty

Hiring discussion.

Geometry and Topology Seminar
Seminar website

Posted November 6, 2007

4:40 pm - 5:30 pm Lockett 276
Patrick Gilmer, Mathematics Department, LSU

Congruence and quantum invariants

Seminar on K-theory and Grothendieck-Witt groups

Posted November 9, 2007

1:30 pm - 3:00 pm Lockett 381
Martin Laubinger, LSU
Graduate Student

Bott periodicity via Gamma spaces

for further information, see the seminar webpage

Algebra and Number Theory Seminar
Questions or comments?

Posted September 12, 2007

Last modified November 9, 2007

Zhaohu Nie, Texas A&M Department of Mathematics

Singularities of admissible normal functions

Abstract:

The first proof of the Lefschetz (1,1) theorem was given by

Poincare and Lefschetz using normal functions for a Lefschetz pencil.

The hope to generalize this method to higher codimensional Hodge

conjecture was blocked by the failure of Jacobian inversion. In another

direction, one can hope for an inductive proof of the Hodge conjecture

if for any primitive Hodge class one can find a, necessarily singular,

hypersurface to "capture part of it". Recently Green and Griffiths

introduced the notion of extended normal functions over higher

dimensional bases such that their singular loci corresponds to such

hypersurfaces. In this talk, we will present how to understand

singularities using the viewpoint of admissible normal functions, and

how the Hodge conjecture is then equivalent to the existence of

singularities. This is joint work with P. Brosnan, H. Fang and G.

Pearlstein.

Student Seminar

Posted November 7, 2007

2:40 pm - 3:30 pm Prescott 203
Jasson Vindas, LSU Department of Mathematics, LSU

Student Seminar on Control Theory and Optimization

Some asymptotic notions for Schwartz distributions

Geometry and Topology Seminar
Seminar website

Posted November 6, 2007

3:40 pm - 4:30 pm Biological Sciences Annex Building - A663
Steve Wallace, LSU

Surgery equivalence invariants of colored knots

Virtual Seminar together with U Iowa

Geometry and Topology Seminar
Seminar website

Posted November 6, 2007

12:40 pm - 1:30 pm Lockett 119Junior Topology Seminar

Reading Seminar. See here

Probability Seminar
Questions or comments?

Posted November 12, 2007

3:30 pm Lockett 381
P. Sundar, Department of Mathematics, LSU

Fractional Gaussian integrals

Posted November 11, 2007

3:40 pm 285 Lockett
Bin Li, LSU Department of Experimental Statistics

Introduction to Data Mining

Check https://www.math.lsu.edu/dept/ugrad/mathclub for a schedule of math club events and abstracts of the talks. All undergrads are invited.

Combinatorics Seminar
Questions or comments?

Posted November 12, 2007

11:40 am - 12:30 pm 113 Lockett Hall
Stan Dziobiak, Department of Mathematics, LSU
Graduate Student

Coloring Graphs within a Constant Error in Polynomial Time

Algebra and Number Theory Seminar
Questions or comments?

Posted November 14, 2007

Last modified November 19, 2007

Daniel Sage, Mathematics Department, LSU

Perverse coherent sheaves and special pieces in the unipotent variety, part 2

Faculty Meeting
Questions or comments?

Posted November 8, 2007

3:40 pm Lockett 9Meeting of the Tenured and Tenure-track Faculty

We will discuss hiring plan for math/cct and mhi hiring. There may have been a change in the department's original agreement and understanding.

Posted November 12, 2007

3:00 pm - 4:00 am Lockett B9Site Visit Information for Graduate Students

This is an important meeting for all math graduate students to find out from Profs. Olafsson and Smolinsky about the National Science Foundation site visit to our department on December 6.

Geometry and Topology Seminar
Seminar website

Posted November 6, 2007

3:40 pm - 4:30 pmNO VIRTUAL SEMINAR (THANKSGIVING)

Seminar on K-theory and Grothendieck-Witt groups

Posted November 19, 2007

1:30 pm - 3:00 pm Lockett 381
Girja Shanker Tripathi, LSU

Gersten's conjecture and Bloch's formula

Algebra and Number Theory Seminar
Questions or comments?

Posted September 14, 2007

Last modified November 20, 2007

Pramod Achar, Mathematics Department, LSU

Staggered t-structures and equivariant coherent sheaves

Student Seminar on Control Theory and Optimization

Posted November 26, 2007

2:40 pm - 3:30 pm Prescott 203
Patricio Jara, LSU Math Department

Rational approximation of Semigroups

Geometry and Topology Seminar
Seminar website

Posted November 6, 2007

3:40 pm - 4:30 pm Biological Sciences Annex Building - A663
Adam Lowrance, Department of Mathematics, Vassar College

On a paper by Ozsvath, Rasmussen and Szabo on the odd Khovanov homology

Virtual Seminar together with U Iowa

Harmonic Analysis Seminar
Abstract and additional information

Posted November 12, 2007

3:40 pm - 4:30 pm Lockett 381 Originally scheduled for 3:40 pm, Wednesday, November 21, 2007
Boris Rubin, Lousiana State University

Spherical Means in Odd Dimensions and EPD equations.

I am planning to present a simple proof of the

Finch-Patch-Rakesh inversion formula for the spherical mean Radon

transform in odd dimensions. This transform arises in thermoacoustic

tomography. Applications will be given to the Cauchy problem for the

Euler-Poisson-Darboux equation with initial data on the cylindrical surface.

The argument relies on the idea of analytic continuation and properties of

the Erdelyi-Kober fractional integrals. Some open problem will be discussed.

Informal Geometry and Topology Seminar
Questions or comments?

Posted November 28, 2007

Last modified July 25, 2018

Framed knot contact homology

Colloquium
Questions or comments?

Posted November 12, 2007

3:40 pm - 4:30 pm Lockett 285
Michael Lacey, Georgia Institute of Technology

Pointwise convergence of Fourier series

Abstract: Lennart Carleson's celebrated theorem on the pointwise
convergence of Fourier series was one of three results cited by the
Abel Prize committee, in making their award to him. This result states
that any square integrable function on the unit circle is the limit,
almost everywhere, of the Fourier partial sums. We will recall the
theorem, explain why it is worthy of an Abel prize, and give a brief
description of a proof. The theorem is related, even required, for a
range of related questions, a much more recent development
investigated by the speaker and Christoph Thiele, among many
others. We close with a very recent new result of Victor Lie on the
Quadratic Carleson Theorem.

There will be coffee and cookies in the lounge at 3:00.

Posted November 13, 2007

5:00 pm 232 LockettHow to Apply for REUs

Professor Robert Perlis and others will discuss a program called Research Experience for Undergraduates (REUs) which are paid summer jobs for undergrads in the mathematical sciences. Check https://www.math.lsu.edu/dept/ugrad/mathclub for a schedule of math club events. All undergrads are invited.

Combinatorics Seminar
Questions or comments?

Posted November 28, 2007

11:40 am - 12:30 pm 113 Lockett Hall
Evan Morgan, LSU Mathematics Department
Graduate student

Tree-width and contraction

All welcome.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted November 26, 2007

2:00 pm Life Sciences Building Annex Room A101 Auditorium
Daniel Huttenlocher, Cornell University
Neafsey Professor of Computing, Information Science and Business

"Computational Soc. Sci.: Large-Scale Studies of Wikis, Blogs, Soc. Networking Sites"

Abstract: Many social interactions that are ephemeral in the physical workld are recorded and assessible in the online world.

Applied Analysis Seminar
Questions or comments?

Posted October 17, 2007

Last modified November 27, 2007

Itai Shafrir, Department of Mathematics, Technion - Israel Institute of Technology

Global minimizers for a p-Ginzburg-Landau energy.

We study the problem of existence of global minimizers for a p-Ginzburg-Landau type energy on the plane and on the half-plane, for p>2, under a degree condition at infinity. We prove existence of a minimizer when the degree equals 1. This is joint work with Yaniv Almog, Leonid Berlyand and Dmitry Golovaty.

Informal Geometry and Topology Seminar
Questions or comments?

Posted December 3, 2007

Last modified July 25, 2018

Reading Seminar

Seminar on K-theory and Grothendieck-Witt groups

Posted November 30, 2007

1:40 pm - 3:00 pm Lockett 381
Girja Shanker Tripathi, LSU

The proof of Gersten's conjecture in the geometric case

Student Seminar

Posted November 7, 2007

2:40 pm - 3:30 pm Prescott 203
Bacim Alali, Department of Mathematics

Student Seminar on Control Theory and Optimization

Optimal Lower Bounds on the Stress and Strain Fields Concentrations in Random Media

Holiday Party

Posted December 10, 2007

12:00 pm Keisler LoungeHoliday Party

Everyone is invited to share in the Season's Spirit. Please bring a dish to share.

Academic Excellence Visiting Scholar

Posted December 17, 2007

Last modified January 12, 2008

Paul Rabinowitz, University of Wisconsin
E.B. Van Vleck Professor of Mathematics
National Academy Member
1998 George David Birkhoff Prize in Applied Mathematics

Towards an Aubry - Mather type theory for PDE's

An abstract is available here.

Faculty Meeting
Questions or comments?

Posted January 29, 2008

3:40 pm Lockett 285Meeting of the Tenured Faculty

Third year review cases. A vote will follow.

Posted December 18, 2007

Last modified January 8, 2008

Hongchao Zhang, University of Minnesota
Candidate for Assistant Professor Position

TBA

http://www.cct.lsu.edu/events/talks/307

Academic Excellence Visiting Scholar

Posted December 17, 2007

Last modified January 12, 2008

Paul Rabinowitz, University of Wisconsin
E.B. Van Vleck Professor of Mathematics
National Academy Member
1998 George David Birkhoff Prize in Applied Mathematics

Towards an Aubry - Mather type theory for PDE's

An abstract is available here.

Posted December 18, 2007

Last modified January 10, 2008

Johnny Guzman, University of Minnesota
Candidate for Assistant Professor Postion

TBA

http://www.cct.lsu.edu/events/talks/308

Academic Excellence Visiting Scholar

Posted December 17, 2007

Last modified January 12, 2008

Paul Rabinowitz, University of Wisconsin
E.B. Van Vleck Professor of Mathematics
National Academy Member
1998 George David Birkhoff Prize in Applied Mathematics

Towards an Aubry - Mather type theory for PDE's

An abstract is available here.

Seminar on Algebraic Cycles

Posted January 17, 2008

1:30 pm - 3:00 pm Lockett 381
Seva Joukhovitski, Mathematics Department, LSU

Sums of squares formulas via motivic cohomology

Posted December 18, 2007

Last modified January 21, 2008

Clayton Webster, Sandia National Laboratories
Candidate for Assistant Professor Position

A Dimension-Adpative Sparse Grid Stochastic Collocation Technique for Partial Differential Equations with High-Dimensional Random Input Data

http://www.cct.lsu.edu/events/talks/313

Geometry and Topology Seminar
Seminar website

Posted January 21, 2008

3:30 pm - 4:30 pm Bio. Sciences Annex, A663
Charles Frohman, University of Iowa

An introduction to Frobenius extensions and TQFT over rings

Virtual Seminar together with UIowa

Applied Analysis Graduate Student Seminar

Posted January 15, 2008

Last modified January 22, 2008

Laurentiu Marinovici, Louisiana State University

Survey on Estimation Algorithms for Networked Control Systems using UDP-like Communication

Control Research Seminar

Posted January 24, 2008

10:00 am EE117, Electrical and Computer Engineering
Robert Bitmead, University of California at San Diego
Fellow of the Institute of Electrical and Electronics Engineers

Experimental Certification of Jet Engine Controllers

Posted December 18, 2007

Last modified January 21, 2008

Jianlin Xia, University of CA at Los Angeles
Candidate for Assistant Professor Position

Superfast Solvers For Some Large Structured Matrix Problems

http://www.cct.lsu.edu/events/talks/311

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted January 7, 2008

11:30 am
Sangtae "Sang" Kim, Purdue University
Donald W. Feddersen Distingusihed Professor Of Mechanical Engineering And Distinguished Professor Of Chemical Engineering

"Fluidic Self Assembly And The Network Of Things."

Fluidic Self Assembly (FSA) is now a microhydrodynamic, particulate process for the integration of Electrical, optical and mechanical devices.

Seminar on Algebraic Cycles

Posted January 22, 2008

1:30 pm - 3:00 pm Lockett 381
Seva Joukhovitski, Mathematics Department, LSU

Sums of squares formulas via motivic cohomology (cont.)

Posted December 18, 2007

Last modified January 24, 2008

Wei Zhu, New York University
Candidate for Assistant Professor Position

Modeling And Simulation Of Liquid Crystal Elastomers

http://www.cct.lsu.edu/events/talks/315

Topics in Functional Analysis

Posted January 24, 2008

4:40 pm - 6:00 pm Lockett 284
Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

A Survey of Operator Algebras I

A survey of the theory of Operator

Algebras - an approach to the spectral theory of bounded and

unbounded operators on Hilbert space. I'll head for the

basic density theorems of the subject (the von Neumann

density, the Kaplansky density, and the transitivity

theorems), and explain the approximation-theory aspects of

the theory of operator algebras.

Geometry and Topology Seminar
Seminar website

Posted January 22, 2008

Last modified January 28, 2008

Charles Frohman, University of Iowa

sl_3 Topological Quantum Field Theory after Khovanov

Virtual Seminar together with UIowa

Applied Analysis Graduate Student Seminar

Posted January 16, 2008

Last modified January 22, 2008

Santiago Fortes, Department of Mathematics, LSU

A Proof of the Uniform Boundedness Principle using Continuous Functions

Posted December 18, 2007

Last modified January 21, 2008

Xiaoliang Wan
Candidate for Assistant Professor Position

Polynomial Chaos And Uncertainty Quantification

http://www.cct.lsu.edu/events/talks/312

Colloquium
Questions or comments?

Posted January 23, 2008

Last modified February 1, 2008

Jan Dijkstra, Vrije Universiteit Amsterdam

Homeomorphism groups of manifolds and Erdös space

There is an abstract available.

There will be coffee and cookies in the lounge at 3:00.

Applied Analysis Seminar
Questions or comments?

Posted December 28, 2007

Last modified January 29, 2008

Peter Sternberg, Indiana University

Bifurcating solutions in a model for a superconducting wire
subjected to an applied current

Abstract: We study formally and rigorously the bifurcation to steady and time-periodic states in a model for a thin superconducting wire in the presence of an imposed current. Exploiting the PT-symmetry of the equations at both the linearized and nonlinear levels, and taking advantage of the collision of real eigenvalues leading to complex spectrum, we obtain explicit asymptotic formulas for the stationary solutions, for the amplitude and period of the bifurcating periodic solutions and for the location of their zeros or ``phase slip centers" as they are known in the physics literature. In so doing, we construct a center manifold for the flow and give a complete description of the associated finite-dimensional dynamics. This is joint work with Jacob Rubinstein and Kevin Zumbrun.

Posted January 30, 2008

1:40 pm - 2:30 pm Lockett 16
Pallavi Dani, Department of Mathematics, LSU

Filling invariants for groups

Abstract: For any loop in a simply-connected Riemannian manifold, one can look for a disk of minimal area whose boundary is that loop. More generally, one can consider fillings of $n$-spheres by $(n+1)$-balls. These notions have natural analogues in the realm of finitely presented groups, where one models the group using suitably defined geometric spaces. I will discuss Dehn functions of groups, which capture the difficulty of filling spheres with balls. A fundamental question in the area is that of determining which functions arise as Dehn functions of groups. I will give an overview of known results and describe recent progress in the $2$-dimensional case. This is joint work with Josh Barnard and Noel Brady.

Faculty Meeting
Questions or comments?

Posted December 25, 2007

Last modified January 14, 2008

Graduate Core II Curriculum

Please see:

https://www.math.lsu.edu/dept/node/649

For a proposal and response. We will discuss the matter and formulate a proposal for a vote.

Posted February 5, 2008

4:30 pm 232 Lockett
Pallavi Dani, Department of Mathematics, LSU

Wallpaper Groups

Click here for a poster.

Harmonic Analysis Seminar
Abstract and additional information

Posted February 7, 2008

3:40 pm
Gestur Olafsson, Mathematics Department, LSU

Analysis on Symmetric Spaces

This is a seminar class on homogeneous symmetric spaces G/K, where G is a linear Lie group. We study the basic structure theory for G non-compact. We will then discuss the representation theory related to G/K and harmonic analysis on G/K. In particular we hope to be able to introduce the Fourier transform and, in case G is non-compact, the Radon transform on G/K related to the principal series representations. There is a link to the lecture notes on our webpage http://www.math.lsu,edu/~olafsson/teaching.html

Harmonic Analysis Seminar
Abstract and additional information

Posted February 7, 2008

3:40 pm Lockett 381
Gestur Olafsson, Mathematics Department, LSU

Analysis on Symmetric Spaces

This is a seminar class on homogeneous symmetric spaces G/K, where G is a linear Lie group. We study the basic structure theory for G non-compact. We will then discuss the representation theory related to G/K and harmonic analysis on G/K. In particular we hope to be able to introduce the Fourier transform and, in case G is non-compact, the Radon transform on G/K related to the principal series representations. There is a link to the lecture notes on our webpage http://www.math.lsu,edu/~olafsson/teaching.html

Faculty Meeting
Questions or comments?

Posted February 8, 2008

3:40 pm Lockett 9Meeting of the Tenured and Tenure-track Faculty

Hiring and the hiring plan.

Seminar on Algebraic Cycles

Posted January 29, 2008

1:30 pm - 3:00 pm Lockett 381
Marco Schlichting, Louisiana State University

Sums-of-Squares formulas via K-theory

Topics in Functional Analysis

Posted January 24, 2008

Last modified January 29, 2008

Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

A Survey of Operator Algebras II

A survey of the theory of Operator

Algebras - an approach to the spectral theory of bounded and

unbounded operators on Hilbert space. I'll head for the

basic density theorems of the subject (the von Neumann

density, the Kaplansky density, and the transitivity

theorems), and explain the approximation-theory aspects of

the theory of operator algebras.

Geometry and Topology Seminar
Seminar website

Posted January 24, 2008

Last modified February 14, 2008

A diagramless link homology

Adam McDougall (Virtual Seminar together with UIowa)

Applied Analysis Graduate Student Seminar

Posted February 12, 2008

3:40 pm - 4:30 pm Prescott 205
Lingyan Huang, LSU Math Dept

Introduction to Nonsmooth Analysis and Control Theory I

Applied Analysis Graduate Student Seminar

Posted February 12, 2008

3:40 pm - 4:30 pm Prescott 205
Jacob Blanton, Mathematics Department, LSU

Introduction to Nonsmooth Analysis and Control Theory II

Faculty Meeting
Questions or comments?

Posted January 29, 2008

3:40 pm Lockett 285Meeting of the Tenured Faculty

Third year review cases. A vote will follow.

Posted February 12, 2008

4:30 pm 232 Lockett
Peggy Wang, Baton Rouge Transition To Teaching Program
Project Director

Alternative Paths to Teacher Certification in Secondary Math and Science

Click here for details.

Harmonic Analysis Seminar
Abstract and additional information

Posted February 15, 2008

3:40 pm Lockett 381
Gestur Olafsson, Mathematics Department, LSU

Seminar on Symmetric Sapces

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted February 6, 2008

10:40 am - 11:30 am Johnston Hall 338
David E. Keyes, Columbia University And Lawrence Livermore National Lab

A Nonlinearly Implicit Manifesto

Frontiers of Scientific Computing Lecture Series. More info.

SIAM Student Chapter Talk

Posted February 6, 2008

1:40 pm 338 Johnston Hall
David E. Keyes, Columbia University And Lawrence Livermore National Lab

Scalable Solver Infrastructure for Multirate, Multiscale PDE Applications

Followed by refreshments and a short discussion of careers and a Q&A session.

Seminar on Algebraic Cycles

Posted February 17, 2008

1:30 pm - 2:30 pm Lockett 381
Daniel Isaksen, Wayne State University

Motivic homological algebra

I will describe some preliminary explicit computations in motivic homotopy theory. Over arbitrary ground fields, we just don't know enough to compute much. But over the complex numbers, we have explicit descriptions (due to Voevodsky) of the cohomology of a point and of the Steenrod algebra of all cohomology operations. I will describe some computations of Ext groups over the motivic Steenrod algebra (over the complex numbers). Via the motivic Adams spectral sequence, these computations say something about motivic stable homotopy groups. Over the real numbers, the cohomology of a point and the Steenrod algebra are also explicitly known (again due to Voevodsky). Similar Ext computations are possible over the real numbers, but the homological algebra is trickier. I believe that these calculations will be an important guide for further research in motivic homotopy theory.

Topics in Functional Analysis

Posted February 13, 2008

3:40 pm - 5:00 pm Lockett 284
Frank Hansen, Department of Economics, University of Copenhage

Quantum information inequalities.

Abstract: The Wigner-Yanase-Dyson informations are examples of measures of (pure) quantum information. They satisfy all but one of the desired properties, proposed by Wigner and Yanase, to a good measure of quantum information. We introduced a much wider class of information measures, the so called metric adjusted skew informations. They are constructed from monotone metrics on the state space of a quantum system and labeled by a special class of operator monotone functions. We develop inequalities for measures of quantum information and derive the so called dynamical uncertainty principle.

Applied Analysis Graduate Student Seminar

Posted February 17, 2008

2:40 pm - 3:30 pm Prescott 203
Jacob Blanton, Mathematics Department, LSU

Introduction to Nonsmooth Analysis and Control Theory II

Geometry and Topology Seminar
Seminar website

Posted January 24, 2008

Last modified February 15, 2008

Hee Jung Kim, Department of Mathematics, LSU

Embeddings of Surfaces in 4-manifolds

(Virtual Seminar together with UIowa)

Harmonic Analysis Seminar
Abstract and additional information

Posted February 18, 2008

Last modified February 26, 2008

Hongyu He, Mathematics Department, LSU

Associated Varieties of Irreducible Unitary Representation

Abstract: I will discuss algebraic invariants associated with Irreducible

unitary representations. These invariants will then be used to study the

restrictions of a unitary representation to its subgroups.

Posted February 12, 2008

Last modified February 19, 2008

Peter Wolenski, LSU Department of Mathematics
Russell B. Long Professor

Nonsmooth Analysis: The Mathematics of Optimization

Click here for details.

Frontiers of Scientific Computing Lecture Series

Posted February 11, 2008

Last modified February 17, 2008

William Gropp, Mathematics and Computer Science Division, Argone National Laboratory

Challenges For The Message-Passing Interface In The PetaFLOPS Era

There will be a reception at 11:00AM. More info.

Harmonic Analysis Seminar
Abstract and additional information

Posted February 22, 2008

3:40 pm Lockett 381
Gestur Olafsson, Mathematics Department, LSU

Analysis on Symmetric Spaces

This is the third lecture in the series. We will discuss the Iwasawa decomposition of the Lie algebra and the group.

Geometry and Topology Seminar
Seminar website

Posted January 30, 2008

Last modified February 25, 2008

Gregor Masbaum, University Paris 7

TQFT and the Nielsen-Thurston classification of surface homeomorphisms

Seminar on Algebraic Cycles

Posted February 22, 2008

1:40 pm - 3:00 pm Lockett 381
Jerome W. Hoffman, Mathematics Department, LSU

Motives and Algebraic Cycles

Academic Excellence Visiting Scholar

Posted January 31, 2008

Last modified February 9, 2008

Richard A. Askey, University of Wisconsin
Member of the National Academy of Sciences

Binomial theorem, gamma and beta functions and extensions

The binomial theorem goes back centuries, yet there are

still interesting things one can do with it and extensions which

were found not that long ago which are very important. The gamma

and beta functions are not as old, a bit under 300 years.

There are important extension of them which have been found

much more recently, both in one and in several variables. Some of

these results will be described, proven, and/or used.

Academic Excellence Visiting Scholar

Posted January 31, 2008

Last modified February 11, 2008

Richard A. Askey, University of Wisconsin
Member of the National Academy of Sciences

What is Ptolemy's theorem and why is it useful to know a few different ways to prove it?

This talk will be accessible to all undergraduate math majors and any students who had a good high school geometry course.

Ptolemy was best known for his astronomy work, but his book on this contains an important theorem in geometry which is still of interest. The theorem deals with quadrilaterals inscribed in a circle, and was important to Ptolemy as a tool to construct what we would call tables of values of trigonometric functions. We know better ways to do that now, but Ptolemy's theorem is still important, both as a way of learning important ways of attacking some geometry problems, and because of other uses of it. A number of proofs will be given, including Ptolemy's geometric proof, Euler's proof using the law of cosines, a combination of these two proofs to extend Ptolemy's theorem to general quadrilaterals, and ways to reduce this problem to a simple problem on a line.

Harmonic Analysis Seminar
Abstract and additional information

Posted February 25, 2008

10:40 am - 11:30 am Lockett 381
Dan Barbasch, Cornell University

Spherical unitary spectrum for split real and p-adic groups.

Abstract: I will give a description of the parametrization of the spherical unitary dual for split groups, and discuss the techniques used to obtain it. The spherical unitary dual is important for problems in harmonic analysis on symmetric spaces and automorphic forms.

Colloquium
Questions or comments?

Posted January 22, 2008

Last modified February 26, 2008

Dan Barbasch, Cornell University

Unipotent representations and unitarity

An abstract is available.

There will be coffee and cookies in the lounge at 3:00.

Academic Excellence Visiting Scholar

Posted January 31, 2008

Last modified February 9, 2008

Richard A. Askey, University of Wisconsin
Member of the National Academy of Sciences

Orthogonal polynomials &mdash what are they and some of the things one can do with them

Most of you know the names of some of the important classical orthogonal polynomials, Hermite polynomials, Legendre polynomials, and Chebyshev polynomials, and may even know some places where these polynomials arise. There are a number of other classical type orthogonal polynomials which will be discussed. The problems they arise in range from stable distribution of charges on an interval, which is connected eventually with Selberg's multidimensional beta integral, to the Rogers-Ramanujan identities, which themselves show up in statistical mechanics and other unlikely places in addition to their interpretation as partition identities for special classes of integers.

Seminar on Algebraic Cycles

Posted February 29, 2008

1:40 pm - 3:00 pm Lockett 381
Jerome W. Hoffman, Mathematics Department, LSU

Motives and Algebraic Cycles II

Topics in Functional Analysis

Posted February 21, 2008

3:40 pm - 4:30 pm Lockett 284
Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

A Survey of Operator Algebras III

A survey of the theory of Operator Algebras - an approach to the spectral theory of bounded and unbounded operators on Hilbert space. I'll head for the basic density theorems of the subject (the von Neumann density, the Kaplansky density, and the transitivity theorems), and explain the approximation-theory aspects of the theory of operator algebras. Some more specifics: Factors, comparison theory of projections, and thence, the dimension function and "factor type," the trace, and examples (von Neumann group algebras) of finite factors.

Geometry and Topology Seminar
Seminar website

Posted February 20, 2008

Last modified February 27, 2008

Alissa Crans, University of Chicago/Loyola Marymount University

2-groups: Categorified groups

(Virtual Seminar together with UIowa; the talk is broadcasted from Iowa)

Harmonic Analysis Seminar
Abstract and additional information

Posted March 5, 2008

10:40 am - 11:30 am Lockett 381
Joseph Wolf, University of California, Berkeley

Plancherel Formula for Commutative Spaces

Let $(G,K)$ be a Gelfand pair, in other words $G$ is a separable locally compact group, $K$ is a compact subgroup, and the convolution algebra $L^1(K\backslash G/K)$ is commutative. Examples include Riemannian symmetric spaces, locally compact abelian groups and homogeneous graphs. Then the natural representation of $G$ on $L^2(G/K)$ is multiplicity--free and there is a very simple analog of the Euclidean space Fourier transform. I'll describe that transform and the corresponding analog of the Fourier inversion formula.

Colloquium
Questions or comments?

Posted January 29, 2008

Last modified March 2, 2008

Joseph Wolf, University of California, Berkeley

Limits of nilpotent commutative spaces

An abstract is available.

There will be coffee and cookies in the lounge at 3:00.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted February 25, 2008

2:30 pm 155 Coates Hall
Randal E. Bryant, Carnegie Mellon University
Dean, School of Computer Science

"Data-Intensive Super Comp.: Taking Google-Style Comp. Beyond Web Search."

Abstract: Web Search engines have become fixtures in our society, but few people realize that they are actually publicly accessible supercomputing systems, where a single query can unleach the power of several hundred processors operating on a date set of over 200 terabytes.

Applied Analysis Seminar
Questions or comments?

Posted February 26, 2008

Last modified March 3, 2008

Razvan Teodorescu, Los Alamos National Laboratory

Harmonic Growth in 2D via Biorthogonal Polynomials

Evolution of planar domains (representing physical clusters) under harmonic forces is representative for many problems in mathematical physics. In certain situations, the evolution leads to finite-time singularities. I will discuss a regularization of this evolution inspired by the equilibrium distribution of eigenvalues of large random normal matrices. Connections to operator theory will also be discussed.

Seminar on Algebraic Cycles

Posted March 10, 2008

1:40 pm - 3:00 pm Lockett 381
Jerome W. Hoffman, Mathematics Department, LSU

Motives and Algebraic Cycles III

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted February 25, 2008

3:00 pm 338 Johnston Hall
Roman Beck, Institute of Information, Johann Wolfgang Goethe University, Frankfurt, Germany
E-Finance and Services Science Chair

"A Cost-based Multi-Unit Resource Auction for Service-oriented Grid Computing."

The Application of Grid technology is finally spreading from engineering and natural science related industrial sectors to other industries with a high demand for computing applications. However, the diffusion of Grid technology within these sectors is often hindered by a lack of the incentive to share the computational reserches across departments or branches even within the same enterprise.

Topics in Functional Analysis

Posted March 10, 2008

Last modified March 11, 2008

Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

A Survey of Operator Algebras IV

A survey of the theory of Operator Algebras - an approach to the spectral theory of bounded and unbounded operators on Hilbert space. I'll head for the basic density theorems of the subject (the von Neumann density, the Kaplansky density, and the transitivity theorems), and explain the approximation-theory aspects of the theory of operator algebras. Some more specifics: Factors, comparison theory of projections, and thence, the dimension function and "factor type," the trace, and examples (von Neumann group algebras) of finite factors.

Applied Analysis Graduate Student Seminar

Posted March 6, 2008

3:40 pm - 4:30 pm Prescott 205
Jasson Vindas, LSU Department of Mathematics, LSU

Local boundary behavior of harmonic and analytic functions: Abelian theorems
for quasiasymptotics of distributions

Posted March 10, 2008

4:30 pm 232 Lockett
Guoli Ding, Mathematics Department, LSU

Solving Linear Inequalities, with Applications to Geometry, Optimization, and Combinatorics

Click here for full details.

Posted January 22, 2008

1:45 pm - 3:00 pm 301D Lockett HallNon-Thesis MS Final Exam, concluding event.

The Committee will be Profs. Richardson (chair), Adkins, and Dasbach. This is the concluding event of the Comprehensive Final Exam for the non-thesis MS.

Seminar on Algebraic Cycles

Posted March 23, 2008

1:40 pm - 3:00 pm Lockett 381
Marco Schlichting, Louisiana State University

Semi-simplicity of the category of numerical motives

Topics in Functional Analysis

Posted March 25, 2008

3:40 pm - 5:00 pm Lockett 285
Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

A Survey of Operator Algebras V

A survey of the theory of Operator Algebras - an approach to the spectral theory of bounded and unbounded operators on Hilbert space. I'll head for the basic density theorems of the subject (the von Neumann density, the Kaplansky density, and the transitivity theorems), and explain the approximation-theory aspects of the theory of operator algebras. Some more specifics: Factors, comparison theory of projections, and thence, the dimension function and "factor type," the trace, and examples (von Neumann group algebras) of finite factors.

Geometry and Topology Seminar
Seminar website

Posted February 20, 2008

Last modified March 20, 2008

Hee Jung Kim, Department of Mathematics, LSU

Knotting Surfaces in 4-manifolds, Part II

(Virtual Seminar together with UIowa)

Applied Analysis Graduate Student Seminar

Posted March 25, 2008

3:30 pm - 4:30 pm Prescott 205
Cristina Tugurlan, LSU Math Dept

Distributed Fast Marching Methods Seminar Website

Fast Marching Methods are efficient algorithms for solving problems of front evolution where the front speed is monotonic. They are theoretically optimal in terms of operation count. They are also highly sequential and hence not straightforward to parallelize. I will present several parallel implementations of the Fast Marching Method. In these implementations one combines fast sweeping with fast marching, in such a way that allows fast convergence. I will illustrate the power of these approaches on some numerical examples, show the monotonicity and stability properties of the algorithms, and study the convergence and the error estimates.

Applied Analysis Graduate Student Seminar

Posted March 25, 2008

3:40 pm - 4:30 pm Prescott 205
Cristina Tugurlan, LSU Math Dept

Distributed Fast Marching Methods

math.lsu.edu/dept/student_app_analysis

Colloquium
Questions or comments?

Posted March 17, 2008

3:40 pm - 4:30 pm Lockett 285
Toshiyuki Kobayashi, Harvard and University of Tokyo

Existence Problem of Compact Locally Symmetric Spaces.

Abstract: The local to global study of geometries was a major trend of 20th

century geometry, with remarkable developments achieved particularly in

Riemannian geometry. In contrast, in areas such as Lorentz geometry,

familiar to us as the space-time of relativity theory, and more generally

in pseudo-Riemannian geometry, as well as in various other kinds of

geometry (symplectic, complex geometry, ...), surprising little is known

about global properties of the geometry even if we impose a locally

homogeneous structure.

I will give a survey on the recent developments regarding the question

about how the local geometric structure affects the global nature of

non-Riemannian manifolds, with emphasis on the existence problem of compact

forms, rigidity and deformation.

There will be coffee and cookies in the lounge at 3:00.

Posted January 22, 2008

until Sunday, March 30, 20082008 Spring Southeastern AMS Meeting

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted February 25, 2008

11:30 am 338 Johnston Hall
Rudolf Eigenmann, Purdue University
professor, School of Electrical and Computer Engineering

"High Performance Computing Going Mainstream."

Abstract: HPC (High Performance Computing) has progressed far beyond the nich technology it was in the 1980's and 1990's.

Geometry and Topology Seminar
Seminar website

Posted January 24, 2008

Last modified March 31, 2008

Charles Livingston, Indiana University

Twisted Alexander polynomials, metabelian representations, and the knot slicing problem

Algebra and Number Theory Seminar
Questions or comments?

Posted February 14, 2008

Last modified March 31, 2008

David Treumann, Northwestern University

Staggered t-structures on toric varieties

Achar has introduced a family of t-structures, called staggered t-structures, on the derived category of equivariant coherent sheaves on a G-scheme. These generalize the perverse coherent t-structures of Bezrukavnikov and Deligne, their main point of interest being that they are more often self-dual. We will discuss the example of torus-equivariant sheaves on a toric variety. We will also indicate a similarity between the main new ingredient of Acharâ€™s t-structures â€“ what are called s-structures â€“ and the weight-truncation formalism of Morel.

Topics in Functional Analysis

Posted April 1, 2008

3:40 pm - 5:00 pm Lockett 285
Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

A Survey of Operator Algebras VI

A survey of the theory of Operator Algebras - an approach to the spectral theory of bounded and unbounded operators on Hilbert space. I'll head for the basic density theorems of the subject (the von Neumann density, the Kaplansky density, and the transitivity theorems), and explain the approximation-theory aspects of the theory of operator algebras. Some more specifics: Factors, comparison theory of projections, and thence, the dimension function and "factor type," the trace, and examples (von Neumann group algebras) of finite factors

Frontiers of Scientific Computing Lecture Series

Posted March 25, 2008

1:30 pm 338 Johnston Hall
Alex Pothen, Old Dominion University
Professor, Computer Science Department and Center for Computational Science

"Combinatorial Algorithms Enabling Computational Science and Engineering"

Combinatorial problems arise as critical subproblems in many computational simulations in science and engineering. Combinatorial scientific computing (CSC) is a multi-disciplinary area in which such problems are formulated and solved. The CSCAPES Institute has been established with funding from the problems and thereby enable high performance computing for breakthrough science.

Geometry and Topology Seminar
Seminar website

Posted February 20, 2008

Last modified April 1, 2008

Models for evaluating the Homfly polynomial

Anna Meyers (UIowa) (Virtual Seminar together with UIowa)

Harmonic Analysis Seminar
Abstract and additional information

Posted April 1, 2008

10:40 am - 11:30 am Lockett 381
Hongyu He, Department of Mathematics, LSU

Associated Varieties of Irreducible Unitary Representation II

Abstract: I will discuss algebraic invariants associated with Irreducible unitary representations. These invariants will then be used to study the restrictions of a unitary representation to its subgroups.

Posted March 25, 2008

3:30 pm 338 Johnston Hall
Claes Eskilsson, Department of Civil and Environmental Engineering
Visiting Assistant Professor, Louisiana State University

"Modeling of Shallow Water Flows: Applications of DG Methods"

Abstract: There are many examples of water flows where the characteristic length scale is large compared to the vertical scale. The resulting depth-integrated shallow water equations (SWE) is a model equation of great importance since it is used in hydraulic and coastal engineering to model river flooding as well as storm surges and tsunamis.

Colloquium
Questions or comments?

Posted February 17, 2008

3:40 pm - 4:30 pm Lockett 285
Ron Goldman, Department of Computer Science, Rice University

Three Problems in Search of a Graduate Student

Abstract: Three unsolved problems that originated from research in

Computer Graphics and Geometric Modeling will be presented. The first

problem involves understanding the notion oscillation for Bezier

surfaces, the freeform surfaces most common in Computer Graphics and

Geometric Modeling. The second problem is related to Bezier curves and

univariate Bernstein polynomials, and concerns the combinatorics of

symmetrizing multiaffine functions. The third problem pertains to

fractals and asks if there is an algorithm to determine whether two

arbitrary sets of contractive affine transformations generate the same

fractal.

There will be coffee and cookies in the lounge at 3:00.

Probability Seminar
Questions or comments?

Posted April 7, 2008

3:40 pm Lockett 381
P. Sundar, Department of Mathematics, LSU

On the Martingale Problem

Seminar on Algebraic Cycles

Posted March 27, 2008

1:40 pm - 3:00 pm Lockett 381
Marco Schlichting, Louisiana State University

Chow motives and the triangulated category of mixed motives

Topics in Functional Analysis

Posted April 4, 2008

3:40 pm - 5:00 pm Lockett 285
Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

A Survey of Operator Algebras VII

Geometry and Topology Seminar
Seminar website

Posted April 7, 2008

Last modified April 8, 2008

Cody Armond, Department of Mathematics, LSU

On the Huynh-Le Quantum Determinant for the Colored Jones Polynomial

(Virtual Seminar together with UIowa)

Harmonic Analysis Seminar
Abstract and additional information

Posted April 4, 2008

10:40 am - 11:30 am Lockett 381
Hongyu He, Mathematics Department, LSU

Associated Varieties of Irreducible Unitary Representation III

Abstract: I will discuss algebraic invariants associated with Irreducible unitary representations. These invariants will then be used to study the restrictions of a unitary representation to its subgroups.

Colloquium
Questions or comments?

Posted January 22, 2008

Last modified April 4, 2008

Oleg Viro, SUNY Stony Brook

Compliments to bad spaces

Abstract:
Could Mathematics be made any better by a different choice
of basic definitions? Definitions in some mathematical theories
exclude any mentioning of objects, which are believed to be nasty.
We will consider few examples of such "political correctness".
Speaking on differential manifolds, we usually pretend that they have no
singular siblings. This causes lots of inconveniences.
Another example is finite topological spaces. Most of mathematicians
believe that all finite topological spaces
are either trivial or nasty. Topology appears to be the only
mathematical field that feels ashamed of its finite objects.

There will be coffee and cookies in the lounge at 3:00.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 3, 2008

11:30 am 338 Johnston Hall
Wolfgang Gentzsch, Duke University
RENCI Renaissance Computing Institute at UNC Chapel Hill and D-Grid Initiative

"Building and Operating Grid Infrastructures for e-Science"

Lessons Learned and Recommendations Abstract: After almost a decade of research and development in the field of grid technology, it is still challenging to design, build, and operate large-scale grid infrastructures for science and industry.

Geometry and Topology Seminar
Seminar website

Posted February 18, 2008

Last modified April 4, 2008

Oleg Viro, SUNY Stony Brook

Twisted acyclicity of circle and link signatures

Academic Excellence Visiting Scholar

Posted March 1, 2008

Last modified March 3, 2008

Hyman Bass, University of Michigan
National Medal of Science Laureate (2006)

Improving U.S. Mathematics Education: Myths and Realities

Professor Bass has chaired the Mathematical Sciences Education Board at the National Academy of Sciences and the Committee on Education of the American Mathematical Society. Abstract of the talk: Although there is widespread dissatisfaction with U.S. students' mathematical performance, there is little agreement on the roots of the problem or its solutions. This presentation will argue that teacher capacity and teaching quality are key to the improvement of mathematics education, and will analyze the levers that could make a difference for their effectiveness.

Academic Excellence Visiting Scholar

Posted February 29, 2008

Last modified March 3, 2008

Hyman Bass, University of Michigan
National Medal of Science Laureate (2006)

Revisiting an approach to the two-dimensional Jacobian Conjecture

This is about an approach I tried many years ago using the Weyl Algebra. While I wasn't able to push it all the way through, it did make some interesting contact with diophantine geometry and classical function theory. Since no significant recent progress has been made on the Jacobian Conjecture, I thought that I might try to revive awareness of this approach. The Jacobian Conjecture is of broad mathematical interest.

Applied Analysis Seminar
Questions or comments?

Posted March 24, 2008

3:40 pm - 4:30 pm 233 Lockett Hall
Yuliya Gorb, Department of Mathematics Texas A&M University

Fictitious Fluid Approach for Justification of Asymptotics of Effective Properties of Highly Concentrated Suspensions

Abstract: The method of the discrete network approximation has been used for determining effective properties of high contrast disordered composites with particles close to touching. It is illustrated by considering a highly packed suspension of rigid particles in a Newtonian fluid. The effective viscous dissipation rate of such a suspension exhibits a singular behavior, and the goal is to derive and justify its asymptotic formula as a characteristic interparticle distance tends to zero. The main idea of the presented approach is a reduction of the original continuum problem described by partial differential equations with rough coefficients to a discrete network. This reduction is done in two steps which constitute the "fictitious fluid" approach. While previously developed techniques based on a direct discretization allowed to obtain only the leading singular term of asymptotics for special symmetric boundary conditions, we are able to capture all singular terms in the asymptotic formula of the dissipation rate for generic boundary conditions. The fictitious fluid approach also allows for a complete qualitative description of microflow in a thin gap between neighboring particles in the suspension.

Seminar on Algebraic Cycles

Posted April 11, 2008

1:40 pm - 3:00 pm Lockett 381
Ben Dribus, LSU

Griffiths' Famous Example: Homological and Algebraic
Equivalence are Different.

Academic Excellence Visiting Scholar

Posted February 29, 2008

Last modified March 3, 2008

Hyman Bass, University of Michigan
National Medal of Science Laureate (2006)

Cake sharing, Euclidean algorithm, and square tiling of rectangles"

This talk will be accessible to all undergraduate math majors.

This talk answers the question: If you want to equally share c cakes
among s students, what is the smallest number of cake pieces
required? It makes interesting connections with all the topics in
the title.

Frontiers of Scientific Computing Lecture Series

Posted April 7, 2008

11:30 am - 12:30 pm
Tim Warburton, Rice University
Assistant Professor, Department of Computational and Applied Math

Advances In Wave Propagation With The Discontinuous Galerkin Method

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted April 3, 2008

1:00 pm 143 Coates Hall
Anita K. Jones, University of Virginia
University Professor and Professor of Computer Science in the School of Engineering and Applied Science

"CyberSecurity - Serving Society Badly"

Abstract: During the latter half of the 20th century the world created a new infrastructure, the cyber, or information, infrastructure. It underpins many of the processes and activities of society. Usefulness of the cyber infrastructure depends on many aspects, and notable among them is security. Fundementally, today's perimeter defense model on which most cyber security relies does not work.

Applied Analysis Seminar
Questions or comments?

Posted February 25, 2008

Last modified April 21, 2008

Mikhail Stepanov, Department of Mathematics, The University of Arizona

Instantons in hydrodynamics

We consider the hydrodynamic type system (Navier-Stokes or Burgers

equation) with random forcing. The untypical events of high vorticity or

large velocity gradients are due to extreme realizations of the forcing.

To generate such an event one can increase the forcing amplitude or to

optimize its shape (without sacrificing the probability of such forcing to

happen). The tails of the velocity field probability distribution function

can be obtained by finding an optimal shape of forcing, which corresponds

to saddle point (instanton) approximation in the path integral describing

the velocity statistics. It will be shown how to find the instantons in

hydrodynamic systems numerically.

Posted April 8, 2008

Last modified April 15, 2008

Tara Brendle, Department of Mathematics, LSU

Braids and Cryptography

Click here for the abstract.

Applied Analysis Seminar
Questions or comments?

Posted March 31, 2008

Last modified April 16, 2008

John W. Cain, Virginia Commonwealth University

A Kinematic Model for Propagation of Cardiac Action Potentials

Propagation of cardiac action potentials is usually modeled

with a reaction-diffusion equation known as the cable equation. However,

when studying the initiation of arrhythmias, one is primarily interested

in the progress of action potential wavefronts without regard to the

complete wave profile. In this talk, I will explain how to derive a

purely kinematic model of action potential propagation in cardiac tissue.

I will reduce a standard PDE model (the cable equation) to an infinite

sequence of ODEs which govern the progress of wave fronts in a repeatedly

stimulated fiber of cardiac tissue. The linearization of the sequence of

ODEs admits an exact solution, expressible in terms of generalized

Laguerre polynomials. Analyzing the solutions yields valuable insight

regarding nonlinear wave propagation in an excitable medium, providing

interesting physiological implications.

Topics in Functional Analysis

Posted April 21, 2008

3:40 pm - 5:00 pm Lockett 285
Richard Kadison, University of Pennsylvania
Member of the National Academy of Sciences

A Survey of Operator Algebras VIII

Posted April 18, 2008

1:30 pm - 2:30 pm Room 134, Prescott HallStudent Career Talk by Dr. John Aiken (LSU Math PhD 1972) of the MITRE Corp.

Dr. John Aiken earned his PhD in Math at LSU in 1972. He was a student of Profs. Ernest Griffin and Prof. Pasquale Porcelli. Dr. Aiken is a member of the technical staff at MITRE (MIT Research Engineering) in Fairfax, VA. He is visiting to attend the Porcelli Talks this week, and he has accepted our invitation to give a talk for Graduate Students in Mathematics about non-academic careers in Mathematics.

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted January 25, 2008

Last modified February 21, 2008

Don Zagier, Max Planck Institut, Bonn and College de France
Recipient of the Frank Nelson Cole Prize in Number theory, the Prix Elie Cartan of the AcadÃ©mie des Sciences and the Chauvenet Prize of the Mathematical Association of America

The "q" in "q-series"

There will be refreshments before the lecture at 3pm in the Howe-Russell Atrium.

SIAM Student Chapter Talk

Posted April 23, 2008

12:30 pm Prescott 205
Boris Baeumer, University of Otago, New Zealand

A Random Walk to Fractal Calculus

We use a basic random walk model to derive fractional PDE's as governing equations to parsimoniously model dispersion. Dispersion of course happens all over science and thus we derive a set of governing equations that made impacts in Physics, Hydrology, Finance, Chemistry, and Ecology. We then use a fractional reaction-dispersion equation to model the spread of Hawthorn at Porters Pass in New Zealand.

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted January 25, 2008

Last modified February 21, 2008

Don Zagier, Max Planck Institut, Bonn and College de France
Recipient of the Frank Nelson Cole Prize in Number theory, the Prix Elie Cartan of the AcadÃ©mie des Sciences and the Chauvenet Prize of the Mathematical Association of America

The "q" in "quadratic"

There will be refreshments before the lecture at 3pm in the Howe-Russell Atrium.

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted January 25, 2008

Last modified February 21, 2008

Don Zagier, Max Planck Institut, Bonn and College de France
Recipient of the Frank Nelson Cole Prize in Number theory, the Prix Elie Cartan of the AcadÃ©mie des Sciences and the Chauvenet Prize of the Mathematical Association of America

The "q" in "quantum"

There will be refreshments before the lecture at 3pm in the Howe-Russell Atrium.

Applied Analysis Seminar
Questions or comments?

Posted March 26, 2008

3:40 pm - 4:30 pm 233 Lockett Hall
Bogdan Vernescu, Worcester Polytechnic Institute

TBA

Geometry and Topology Seminar
Seminar website

Posted February 27, 2008

Last modified April 21, 2008

Joan Birman, Columbia University/Barnard College
Receipient of the Chauvenet Prize

Twisted torus knots and Lorenz knots

Harmonic Analysis Seminar
Abstract and additional information

Posted April 11, 2008

Last modified April 23, 2008

Milen Yakimov, University of California, Santa Barbara

Reality of representations of rational Cherednik algebras

The Calogero-Moser spaces are the phase spaces of the complexified CM

hamiltonian systems. Recently they also appeared in several different

contexts in representation theory. We will describe a

criterion for reality of representations of rational Cherednik algebras

of type A, which is a class of related algebras. We will then

apply it to study the real locus of a Calogero-Moser space and its

relation to the symplectic geometry of the space. We will finish with

applications to Schubert calculus. (Joint work with Iain Gordon

and Emil Horozov).

Probability Seminar
Questions or comments?

Posted April 25, 2008

3:40 pm Lockett 381
Julius Esunge, Department of Mathematics, LSU
Graduate Student

Anticipating Linear SDEs

SIAM Student Chapter Talk

Posted April 7, 2008

3:30 pm Johnston Hall 338
Mihaly Kovacs , Chalmers University

TBA

Posted March 11, 2008

Last modified April 17, 2008

Spring Math Awards Ceremony

The Porcelli Academic Excellence Award, The Porcelli Scholarships, The Betti and Robert Giles Senior Mathematics Award, The David Oxley Memorial Graduate Student Teaching Award, and Certificates of Teaching Excellence (for graduate assistants) will be awarded. Refreshments will be provided.

Harmonic Analysis Seminar
Abstract and additional information

Posted April 15, 2008

Last modified April 23, 2008

Phuc Nguyen, Purdue University

Singular quasilinear and Hessian equations and inequalities

We give complete characterizations for the solvability of the following quasilinear and Hessian equations: $$ -\Delta_p u = \sigma u^q + \omega, \qquad F_k[-u] = \sigma u^q + \omega, \qquad u \ge 0$$ on a domain Omega\subset\mathbb{R}^n$. Here $\Delta_p$ is the $p$-Laplacian, $F_k[u]$ is the $k$-Hessian, and $\sigma$, $\omega$ are given nonnegative measurable functions (or measures) on $\Omega$. Our results give a complete answer to a problem posed by Bidaut-V\'eron in the case $\sigma\equiv 1$, and extend earlier results due to Kalton and Verbitsky, Brezis and Cabr\'e for general $\sigma$ to nonlinear operators.

This talk is based on joint work with Igor E. Verbitsky.

Seminar on Algebraic cycles (and derived categories)

Posted May 5, 2008

1:40 pm - 3:00 pm Lockett 113
Pramod Achar, Mathematics Department, LSU

Equivariant derived categories d'apres Bernstein-Lunts

Abstract:

Following Verdier and Grothendieck, we know that the derived category of sheaves on a space is the correct setting in which to talk about various operations on sheaves, adjointness theorems, and duality. But if the space is equipped with a group action, and we want to work with equivariant sheaves, it turns out that the derived category of the category of equivariant sheaves often does not behave the way we want it to. Bernstein and Lunts have shown how to construct another triangulated category, the "equivariant derived category," in which all the usual theorems about sheaves hold. I will discuss the problems with the "naive" derived category and explain the Bernstein-Lunts construction.

Informal Geometry and Topology Seminar
Questions or comments?

Posted May 6, 2008

Last modified July 25, 2018

Reading Seminar

Student Seminar on Algebraic Geometry and Representation Theory

Posted May 8, 2008

10:00 am Lockett 112
Jared Culbertson, Mathematics Department, LSU

Introduction to triangulated categories and derived categories

Joint ECE-Math-ME Control Systems Seminar

Posted June 5, 2008

11:30 am 112 Lockett
Guoxiang Gu, LSU Department of ECE
F. Hugh Coughlin/CLECO Professor

Michael Malisoff, LSU

Three ACC08 Talks

The speakers will present their 2008 American Control Conference papers. Here are the titles and abstracts.

Posted August 8, 2008

9:30 am - 9:21 am Friday, August 22, 2008 See Daily GEAUX Calendar www.math.lsu.edu/dept/geaux/calendarG.E.A.U.X.---Math Graduate Orientation Program for Incoming Students

The GEAUX team, comprised of current graduate students, will conduct orientation for two weeks for all the incoming graduate students in mathematics. See the link www.math.lsu.edu/dept/geaux/calendar for daily information about the program activities. This is required for all incoming graduate students in Mathematics.

Posted August 8, 2008

1:00 pm - 4:00 pm 285 LocketPhD Qualifying/Comprehensive Exam for Topology

This is one part of the 3-part PhD Qualifying Exam/Comprehensive Exam in Mathematics.

Computational Mathematics Seminar

Posted August 8, 2008

Last modified August 12, 2008

Jennifer Ryan, Delft University Of Technology

Local Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering For Discontinuous Galerkin Methods

A detailed abstract can be found at www.cct.lsu.edu/events/talks/418 Refreshments will be served at 10:30.

Posted August 8, 2008

1:00 pm - 4:00 pm 285 LockettPhD Qualifying/Comprehensive Exam in Analysis

This is part of the PhD Qualifying/Comprehensive Exam in Mathematics.

Posted August 8, 2008

1:00 pm - 4:00 pm 285 LockettPhD Qualifying/Comprehensive Exam in Algebra

This is part of the 3-part PhD Qualifying/Comprehensive Exam in Mathematics.

Geometry and Topology Seminar
Seminar website

Posted August 22, 2008

3:40 pm X-labTest run for Virtual Seminar

Participating Universities: LSU, U Iowa, GWU, U Miami

Faculty Meeting
Questions or comments?

Posted August 11, 2008

Last modified August 20, 2008

Meeting of the tenured and tenure-track faculty

Possible impact hire.

Combinatorics Seminar
Questions or comments?

Posted August 27, 2008

5:10 pm - 6:00 pm 381 Lockett Hall
James Shook, University of Mississippi
Graduate Student

Some properties of k-trees

James will introduce a new parameter, branch number, that is useful for studying Hamiltonian properties of k-trees. The main result in his talk generalizes a recent result of Broersma et al.

Posted August 28, 2008

12:12 pm - 12:12 pm Graduate School, David Boyd Hall Originally scheduled for 12:12 pmMS Degrees to be Awarded at December Commencement

Fully signed, printed Applications for the MS Degree for December, 2008, are due tomorrow, Sept. 5, at the Graduate Records Office in David Boyd Hall.

Computational Mathematics Seminar

Posted August 29, 2008

2:30 pm - 3:30 pm 145 Coates Hall
Linda Petzold, UC Santa Barbara
Member, National Academy of Engineering

Multiscale Simulation Of Biochemical Systems

Linda Petzold (UC Santa Barbara) will visit LSU the end of next week. She will present an ITELS lecture on **Multiscale Simulation Of Biochemical Systems** on Friday, September 5 at 2:30 pm in Coates 145. Further information can be found at http://www.cct.lsu.edu/events/talks/420.

Among her many honors, let me mention that she is a member of the US National Academy of Engineering and a Fellow of the ASME and of the AAAS.

I am a co-host for her visit. Please contact me if you would like to meet with her.

Sue Brenner

Combinatorics Seminar
Questions or comments?

Posted September 5, 2008

3:00 pm - 4:00 pm 285 Lockett Hall
Mareike Massow, Technische Universitat Berlin

Diametral Pairs of Linear Extensions

Abstract: Let a finite partially ordered set (or poset) P be given. We are interested in the family of its linear extensions (LEs). The distance between two LEs L_1 and L_2 of P is the number of incomparable pairs appearing in different orders in L_1 and L_2. A pair of LEs maximizing this distance among all pairs of LEs of P is called a diametral pair. This talk will be about properties of diametral pairs. It is based on joint work with Graham Brightwell.

Applied Analysis Seminar
Questions or comments?

Posted September 9, 2008

3:30 pm - 4:30 pm Monday, October 27, 2008 TBA
Dmitry Golovaty, University of Akron

TBA

Geometry and Topology Seminar
Seminar website

Posted September 10, 2008

3:30 pm - 4:30 pm X-lab: Lockett 233
Heather Russell, USC

Virtual Seminar

Live from Iowa City

Posted August 28, 2008

12:00 pm - 12:00 pm Graduate Records Office, David Boyd HallApplication for MS Final Exam for December Degree

Be sure to file Application for the MS Final Exam by Sept. 12, tomorrow. Print forms from Graduate School website and get signatures in time to deliver to Graduate Records, David Boyd Hall.

Posted September 12, 2008

3:40 pm - 4:30 pm Lockett 381Graduate Student Seminar in Harmonic Analysis

We will meet to discuss the subjects for the semester. Please bring articles to go with your suggestion.

Joint Harmonic Analysis and Probability Seminar

Posted September 11, 2008

2:40 pm Lockett 285
Maria Gordina, University of Connecticut

Gaussian type measures and Riemannian geometry in infinite dimensions

Abstract: we will talk about how curvature of an infinite-dimensional curved space effects the behaviour of Gaussian type measures. In particular, several settings for infinite-dimensional manifolds will be considered: Hilbert-Schmidt groups which are natural infinite-dimensional analogues of matrix groups, Heisenberg infinite-dimensional groups modelled over an abstract Wiener space, and the homogeneous space Diff(S1)/S1 associated with the Virasoro algebra. We will describe what is known about the Ricci curvature in each of the case, and how its boundness (or unboundness) is reflected in the heat kernel (Gaussian) measure behaviour. The work on the Heisenberg group is joint with Bruce Driver.

Posted September 15, 2008

3:40 pm - 4:30 pm Lockett 285Service-Learning: What it is and why we do it

This is a talk/discussion about service-learning around the world, across campus, and in the department. Led by D. Kopcso, S. Kurtz and R. Perlis.

Posted September 16, 2008

5:00 pm - 6:00 pm Johnston 338Panel Discussion on Students' Past Summer Activites

Pizza will be provided

Combinatorics Seminar
Questions or comments?

Posted September 19, 2008

5:10 pm - 6:00 pm 285 Lockett Hall
Evan Morgan, LSU Mathematics Department
Graduate student

1-switching in cubic graphs

Abstract: Most of the time we want what we don't have. Fortunately in the case of cubic graphs our desire need not go unrequited. I will present a small local operation we can perform repeatedly on a connected cubic graph with n vertices which will transform it into any other connected cubic graph on $n$ vertices. And if we want to start 3-connected and end 3-connected, we can even keep it 3-connected the whole way through. Some extensions to embedded graphs may be discussed.

Faculty Meeting
Questions or comments?

Posted August 19, 2008

Last modified September 10, 2008

Meeting of the Tenured Faculty

Discussion of promotion/tenure case.

Algebra and Number Theory Seminar
Questions or comments?

Posted September 15, 2008

Last modified September 19, 2008

Christopher Bremer, Mathematics Department, LSU

Periods of Irregular Singular Connections

Let X be a nonsingular complex projective algebraic curve. Suppose that E is a vector bundle over X with meromorphic connection nabla,
where nabla has poles along a divisor D. If nabla has regular singularities along D, (E, nabla) is uniquely determined by its sheaf of horizontal sections scr(E) on the analytic points of XD. The classification of irregular singular connections requires an additional piece of data: a Stokes filtration on scr(E) defined on sectors around the singular points of nabla.

A theorem of Malgrange (1991) states that there is a quasi-isomorphism between the algebraic de Rham complex associated to (E, nabla), and the `moderate growth' cohomology of scr(E) + Stokes. In this talk, I will describe a method for computing the matrix coefficients, or `periods', of this map. In a later talk, I will discuss the epsilon factorization for the determinant of the period map.

Geometry and Topology Seminar
Seminar website

Posted September 23, 2008

3:40 pm - 4:30 pm X-lab: Lockett 233
Hee Jung Kim, Department of Mathematics, LSU

tba

Virtual Seminar together with UIowa and the University of Miami

Colloquium
Questions or comments?

Posted September 16, 2008

3:40 pm - 4:30 pm Lockett 235
Ravi Rau, Department of Physics and Astronomy, LSU

Possible links between physics problems in quantum computing and fibre bundles, projective geometry and coding/design theory

Abstract:

Quantum Information, the field that embraces quantum computing,

cryptography and teleportation, involves as a central object an

entangled pair of spin-1/2 (or two-level) systems. I have been

interested in developing geometrical pictures for manipulating the

fifteen-operator su(4) algebra that describes such systems. For a

single spin, its su(2) algebra's fibre bundle of a two-sphere

(called Bloch sphere by physicists) and a u(1) phase plays a major

role throughout the field of magnetic resonance. I will present

analogous geometrical descriptions of fibre bundles for su(4) and

its sub-algebras (and also higher su(N)). One of these sub-algebras,

su(2) X su(2) X u(1), also "maps" onto octonions and the Fano Plane.

Other sub-algebras and the full su(4) can be similarly related to

Desargues's and other diagrams of projective geometry. These relate

to the subjects of coding and design theory, and Hadamard matrices.

I am looking for help from mathematical experts in each of these

areas to see how these connections may be exploited for application

in quantum information.

There will be coffee and cookies in the lounge at 3:00.

Posted September 23, 2008

2:00 pm - 3:00 pm Johnston 338
Hongchao Zhang, Louisiana State University

Introduction to Some Problems in Nonlinear Optimization

Professor Zhang will talk about his PostDoc experiences at the Institute for Mathematics and Optimization (IMA). Afterwards, he will also describe briefly his research interests in optimization.

Posted September 23, 2008

3:40 pm - 4:30 pm Lockett 381Characters and Representations of U(N): An Introduction

Prof. Sengupta will start a series of talks in the Graduate Student Harmonic Analysis Seminar on "Characters and Representations of U(N)". Abstract: The unitary group U(N) is the basic symmetry group arising in quantum theory. In these talks, we will follow Hermann Weyl's approach to determining the representations of U(N). A few basic facts about U(N) will be stated, and the theory will be developed from these in a self-contained way. Key (buzz) words include Schur's Orthogonality Relations and Vandermonde determinants.

Combinatorics Seminar
Questions or comments?

Posted November 25, 2008

5:10 pm - 6:00 pm 285 Lockett Hall
Mark Bilinski, LSU, Mathematics

Bounding the circumference of 3-connected claw-free graphs

Abstract: The circumference of a graph is the length of its longest cycle. A result of Jackson and Wormald implies that the circumference of a 3-connected claw-free graph is at least $\frac 12 n^{\log_{150}2}$. In this paper we improve this lower bound to $\Omega(n^{\log_3 2})$, and our proof implies a polynomial time algorithm for finding a cycle of such length. Bondy and Simonovits showed that the best lower bound one can hope for is $\Omega(n^{\log_98})$.

Probability Seminar
Questions or comments?

Posted September 18, 2008

Last modified September 19, 2008

Hui-Hsiung Kuo, Mathematics Department, LSU

The MRM for Orthogonal Polynomials

Geometry and Topology Seminar
Seminar website

Posted October 1, 2008

3:40 pm - 4:30 pm X-lab: Lockett 233Virtual Seminar with UIowa/UMiami

Adam McDougall (U Iowa): On the diagramless link homology

Talk is broadcasted from Iowa

Faculty Meeting
Questions or comments?

Posted August 4, 2008

Last modified September 11, 2008

Dean's meeting with math faculty

Discussion of the chair's evaluation from last year.

Frontiers of Scientific Computing Lecture Series

Posted September 25, 2008

11:30 am - 12:30 pm 338 Johnston Hall
George Karniadakis, Brown University

Multiscale Modeling of the Human Arterial Tree on the Teragrid

http://www.cct.lsu.edu/events/talks/423

Faculty Meeting
Questions or comments?

Posted September 29, 2008

2:40 pm Locket 285Discussion of Dual Enrollment

Dual Enrollment programs are programs where high school teachers teach a class for college credit. The meeting is to discuss the possibility of this program being offered through the state's EarlyStart initiative.

The provost is asking for our views and I will send her a short report.

Probability Seminar
Questions or comments?

Posted September 18, 2008

3:40 pm - 4:30 pm Lockett 381
Rahul Roy, Indian Statistical Institute, Delhi

Coverage of space by random sets

Algebra and Number Theory Seminar
Questions or comments?

Posted September 24, 2008

Last modified October 3, 2008

Christopher Bremer, Mathematics Department, LSU

Periods of Irregular Singular Connections, Part II

Continuation of the September 23 seminar.

Faculty Meeting
Questions or comments?

Posted September 17, 2008

Last modified September 19, 2008

Meeting of the faculty

Discussion about membership in the College of A&S / College of Basic Sciences.

Geometry and Topology Seminar
Seminar website

Posted October 1, 2008

3:40 pm - 4:30 pm X-lab: Lockett 233Virtual Seminar with UIowa/UMiami

Ken Baker (University of Miami)

(talk is broadcasted from Miami)

Posted October 10, 2008

5:00 pm James E. Keisler Lounge (room 321 Lockett)Actuarial Student Association Meeting

1. A visitor from Career Services will give a presentation and answer questions on internships and jobs.

2. Discussion of study groups for upcoming exams

Algebra and Number Theory Seminar
Questions or comments?

Posted October 10, 2008

3:40 pm Lockett 235
Charles Neal Delzell, Mathematics Department, LSU

A new, simpler, finitary construction of the real closure of a discrete ordered field

Faculty Meeting
Questions or comments?

Posted October 8, 2008

Last modified October 13, 2008

Meeting with the deans

Dean Guillermo Ferreyra from A&S and Dean Kevin Carman from Basic Sciences will meet with the faculty to answer questions and discuss the possibility of moving the department.

Faculty Meeting
Questions or comments?

Posted August 1, 2008

Last modified September 17, 2008

Meeting with and Presentation to the Provost

The provost has and is conducting meetings with each foundation of excellence department. My instructions were

"Purpose:

This is an opportunity for you to showcase scholars in teaching, research and creative activity.

* This is an opportunity for all to share what is distinctive about the department and its intellectual assets.

Ground rules:

* No discussion of administrators or the budget."

Posted September 24, 2008

Last modified September 25, 2008

Career Guidance for Graduate Students---a Faculty Panel Discussion with Questions

A faculty panel---Drs. Lipton, Litherland, Sage, and Sundar---will join the Chair and the Graduate Director in providing career guidance for doctoral students. This meeting is required of all doctoral students who have passed the General Exam. Others are very warmly encouraged to attend as well---it being never too early to plan ones career. *Refreshments will be served first at 3:00 in the Lounge.*

Colloquium
Questions or comments?

Posted September 19, 2008

Last modified October 17, 2008

Ricardo Cortez, Tulane University

Regularized Stokeslets and other elements with applications to biological flows

Biological flows, such as those surrounding swimming microorganisms or beating cilia, are often modeled using the Stokes equations due to the small length scales. The organism surfaces can be viewed as flexible interfaces imparting force on the fluid. I will present the Method of Regularized Stokeslets and other elements that are used to compute Stokes flows interacting with immersed flexible bodies or moving through obstacles. The method treats the flexible bodies as sources of force or torque in the equations and the resulting velocity is the superposition of flows due to all the elements. Exact flows are derived for forces that are smooth but supported in small spheres, rather than point forces. I will present the idea of the method, some of the known results and several examples from biological applications.

There will be coffee and cookies in the lounge at 3:00.

Applied Analysis Seminar
Questions or comments?

Posted September 13, 2008

Last modified October 15, 2008

Dmitry Golovaty, University of Akron

An effective model for ferronematic liquid crystals

I will discuss a nonlinear homogenization problem for ferronematics---colloidal suspensions of small ferromagnetic particles in a nematic liquid crystalline medium---in a regime when the volume fraction of weakly interacting particles is small. The energy of the suspension is given by a Ginzburg-Landau term supplemented by a Rapini-Papoular surface anchoring energy term and terms describing interaction between the suspension and the magnetic field. For a pure nematic, the energy density of interaction between the magnetic field and the nematic director is given by a quadratic term that is minimized when the director is parallel to the field. For a ferronematic, the additional, indirect coupling between the nematic and the field is introduced into the energy via anchoring of nematic molecules on the surfaces of the particles. Assuming that the particles are identical prolate spheroids with fixed positions but variable orientations, we use the method of quasisolutions to show that the influence of particles on the suspension can be accounted for by an effective nonlinear potential. For needle-like particles of large eccentricity, the model reduces to a known expression of Brochard and de Gennes. This is a joint work with C. Calderer, A. Desimone, and A. Panchenko.

Algebra and Number Theory Seminar
Questions or comments?

Posted October 14, 2008

Last modified October 24, 2008

Jerome W. Hoffman, Mathematics Department, LSU

Motives, algebraic cycles, and Hodge theory

Posted August 28, 2008

1:30 pm - 2:30 pm 301D Lockett HallMS Final Exam, final event

Exam Committee: Profs. Richardson (chair), Adkins, and Dasbach. Be sure to file Application for the MS degree by Sept. 5 and Application for the MS Final Exam by Sept. 12. Print both forms from the Graduate School website, and get signatures in time to deliver to Graduate Records, David Boyd Hall.

Applied Analysis Seminar
Questions or comments?

Posted October 12, 2008

Last modified October 27, 2008

Itai Shafrir, Department of Mathematics, Technion - Israel Institute of Technology

On a minimization problem involving a potential vanishing on two curves

This talk is concerned with a vector-valued singular perturbation problem involving a potential vanishing on two curves. We study the limiting behaviour of the minimizers, and demonstrate how it depends on the geometry of the domain. This is a joint work with Nelly Andre (University of Tours).

Posted October 21, 2008

1:40 pm 129 Allen
Mihai Putinar, University of California at Santa Barbara

Polynomial Approximation

Click here for information about all of the LSU Math Club's exciting activities.

Colloquium
Questions or comments?

Posted August 28, 2008

Last modified September 19, 2008

Mihai Putinar, University of California at Santa Barbara

Poincare's variational problem in potential theory

Abstract: The simultaneous diagonalization of two quadratic forms

naturally attached to a domain in the Euclidean space has

guided Poincare in his sudy of the Dirichlet problem. Put in modern

setting, due to a pioneering work of Mark G. Krein, Poiancare's

variational principle offers a deep understanding of modern aspects of

function theory (quasiconformal mappings, Beurling-Schiffer transform)

and provides the theoretical background of some recent studies

of an inverse problem in electrostatics. Based on joint work

with D. Khavinson and Harold S. Shapiro.

There will be coffee and cookies in the lounge at 3:00.

Computational Mathematics Seminar

Posted October 7, 2008

Last modified October 21, 2008

Zhijun Wu, Iowa State University

Bioinformatics and Biocomputing

http://www.cct.lsu.edu/events/talks/430

Algebra and Number Theory Seminar
Questions or comments?

Posted October 10, 2008

Last modified November 3, 2008

Alexander Prestel, Universitaet Konstanz

Representing polynomials positive on a semialgebraic set

Posted October 17, 2008

3:40 pm 232 Lockett
George Cochran, Mathematics Department, LSU

Mathematics and Gambling

Click here for details about all of the LSU Math Club's exciting activities.

Algebra and Number Theory Seminar
Questions or comments?

Posted October 14, 2008

Last modified November 10, 2008

Piotr Maciak, Mathematics Department, LSU
Graduate Student

A short journey from Gaussian integers to Drinfeld modules

Posted November 7, 2008

3:40 pm 285 LcokettIntersession Courses

A meeting of instructors discussing the future of intersession courses in the department.

Colloquium
Questions or comments?

Posted October 27, 2008

Last modified November 3, 2008

Jinhyun Park, Purdue University

What can an algebraist do for Euclidean geometry?

Abstract: The 3rd problem of Hilbert, one of the firstly solved

Hilbert problems, studied the scissors congruence for the

3-dimensional Euclidean space: two polyhedra are said to be in

scissors congruence if one can cut the first along straight lines and

reassemble the components to get the second. Are all polyhedra of a

fixed volume then scissors congruent? The answer was negatively given

by Max Dehn, a student of Hilbert in around 1900. Though the problem

was solved, it opened many new doors during the next 100 years. We

will describe this problem from scratch, and mention how it is related

to some number theoretic questions and how it mysteriously gives new

problems in algebraic geometry.

There will be coffee and cookies in the lounge at 3:00.

Combinatorics Seminar
Questions or comments?

Posted November 25, 2008

5:10 pm - 6:00 pm Wednesday, November 12, 2008 285 Lockett Hall
Mark Bilinski, LSU, Mathematics

On the Reconstruction of Planar Graphs

Probability Seminar
Questions or comments?

Posted October 1, 2008

3:40 pm - 4:30 pm Lockett 381
Kalyan B. Sinha, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore

Unitary Independent Increment Processes and Representations of Hilbert Tensor Algebras

Applied Analysis Seminar
Questions or comments?

Posted November 3, 2008

Last modified November 7, 2008

Phuc Nguyen, Department of Mathematics, Louisiana State University

Quasilinear and Hessian equations with super-critical exponents and singular data

Colloquium
Questions or comments?

Posted November 11, 2008

3:40 pm - 4:30 pm Lockett 235
Ivo Babuska, Institute for Computational Engineering and
Sciences, University of Texas, Austin

Computational Science, Mathematics and Where Are We Going

Abstract: A major goal of Computational Science is to predict physical

and other phenomena. The problem is how confident can we be that the

computed results describe reality well enough so that they can be the

basis for crucial decisions. ( Do we have enough courage to sign the

blueprints based on the computation?) The notions of Verification and

Validation and their mathematical contains will be explained. These

notions are the basis for the confidence that the computed results

could be used for the decisions. A few examples of engineering

accidents and their reasons will be presented. Brief comments of the

repercussions for the educations at the universities will be

made. References to the basic literature will be given.

There will be coffee and cookies in the lounge at 3:00.

Geometry and Topology Seminar
Seminar website

Posted November 17, 2008

3:40 pm - 4:30 pm X-lab: Lockett 233
Lawrence Roberts, Michigan State University

Knot Floer homology for some fibered knots

Abstract: I will talk about a computing the

knot Floer homology of a class of fibered knots in

rational homology spheres, for which the computation is

particularly simple.

Joint virtual seminar with UIowa, Rice, UMiami, Boise State, GWU

Posted October 20, 2008

Last modified November 13, 2008

Brian Marx, LSU Department of Experimental Statistics

Leonard F. Richardson, Mathematics Department, LSU

Applying to Graduate School

Click here for information about all of the LSU Math Club's exciting activities.

SIAM Student Chapter Event

Posted November 14, 2008

1:00 pm Johnston 338
Robert Lipton, Mathematics Department, LSU

Shapes with extremal properties

Abstract: Starting with Dido's problem the mathematical investigation of extremal shapes has enjoyed a rich history. Here we report on recent work that identifies configurations of materials inside a body which minimize the internal stress when the body is subjected to a simple shear or uniform pressure.

Combinatorics Seminar
Questions or comments?

Posted November 25, 2008

5:10 pm - 6:00 pm 285 Lockett Hall
Carolyn Chun, Victoria University in Wellington, New Zealand
Former LSU graduate student

A chain theorem for internally 4-connected binary matroids

Faculty Meeting
Questions or comments?

Posted November 10, 2008

Last modified November 23, 2008

Meeting of the faculty

Dean Guillermo Ferreyra will meet with the faculty to answer questions and discuss the department's upcoming decision of whether to locate the department in A&S or BASC.

Meeting of the Algebra Faculty

Posted November 20, 2008

3:40 pm Lockett 276Planning of graduate courses in algebra for 2009-2010

Computational Mathematics Seminar

Posted November 11, 2008

11:00 am - 12:00 pm Johnston Hall 338
Robert M. Kirby, University of Utah

Visualization of High Order Finite Element Methods

http://www.cct.lsu.edu/events/talks/436 Refreshments at 10:30am

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted November 24, 2008

2:00 pm - 3:00 pm 338 Johnston Hall
Robert M. Kirby, University of Utah

Building Symbiotic Relationships Between Formal Verification And High Performance Computing

http://www.cct.lsu.edu/events/talks/437

Faculty Meeting
Questions or comments?

Posted November 21, 2008

3:10 pm Lockett 5Meeting of the faculty

Discussion of the department\'s upcoming decision of whether to locate the department in A&S or BASC.

Harmonic Analysis Seminar
Abstract and additional information

Posted November 24, 2008

3:40 am - 4:30 am Lockett 381
Jens Christensen, Mathematics Department, LSU

A Wavelet Decomposition of Besov Spaces on the Forward Light Cone

Abstract: We will show how the Besov spaces on the Forward Light Cone

(defined for general symmetric cones by Bekolle, Bonami, Garrigos and Ricci)

can be described using wavelet theory. As part of this description we

will discuss work carried out by the presenter and Gestur Olafsson for constructing Banach

spaces using representation theory.

Geometry and Topology Seminar
Seminar website

Posted December 2, 2008

3:40 pm - 4:30 pm X-lab: Lockett 233
Leah Childers, LSU

Birman-Craggs-Johnson Homomorphism of the Torelli Group

Virtual Seminar together with UIowa, Rice University, UMiami, Boise State University, George Washington University

Posted November 18, 2008

3:40 pm 232 LockettResearch Experience for Undergraduates: A Panel Presentation by Faculty and Students

Click here for information about all of the LSU Math Club's exciting activities.

Posted December 4, 2008

1:30 pm - 2:30 pm Lockett 233
Alvaro Guevara, Dept of Mathematics, LSU

Mathematical methods in kinesiology and voice analysis: two case studies.

A growing number of research projects have used mathematics as a tool to integrate approaches from many disciplines. Two case studies of this type will be discussed, namely, (1) local stability properties of human gait, and (2) voice data analysis of populations at risk for developing schizophrenia-related disorders. In these projects, mathematical ideas from nonlinear dynamical systems were used in (1), and Shannon entropy and information theory in (2). We will describe our contributions that implemented the theory, and generated effective quantitative tools that provided fresh insights to the researchers of these studies. This research was conducted in the context of the Mathematical Consultation Clinic at LSU. Finally, I will briefly address my dissertation work, involving impulsive solutions to optimal control problems.

Combinatorics Seminar
Questions or comments?

Posted December 2, 2008

Last modified December 4, 2008

Xingxing Yu, Georgia Institute of Technology

Judicious partitions of hypergraphs

Abstract: Judicious partition problems on graphs and hyper graphs ask for partitions that optimize several quantities simultaneously. In this talk Professor Yu will discuss several judicious partition problems for hyper graphs, and present several results on hyper graphs whose edges have size at most 3. He will also outline the martingale approach for proving these results.

Applied Analysis Seminar
Questions or comments?

Posted November 19, 2008

Last modified December 5, 2008

Stephen Shipman, Mathematics Department, LSU

Field sensitivity to L^p perturbations of a scatterer

This will be an informal presentation as part of the weekly material science discussion group. I will discuss the title problem and some related problems I would like to solve.

Posted December 1, 2008

Last modified December 9, 2008

Holiday Party

Everyone is invited to share in the Season's Spirit. Please bring a dish to share.

Posted October 27, 2008

Last modified December 12, 2008

Comprehensive/PhD Qualifying Exam in Algebra

This test is part of the PhD Qualifying Examination in Mathematics, and it can serve also as part of the written test for the non-thesis MS degree.

Posted October 27, 2008

1:00 pm - 4:00 pm 285 LockettComprehensive/PhD Qualifying Exam in Analysis

This test is part of the PhD Qualifying Exam in Mathematics, and it can serve also as part of the written exam for the non-thesis MS degree.

Posted October 27, 2008

1:00 pm - 4:00 pm 285 LockettComprehensive/PhD Qualifying Exam in Topology

This test is part of the PhD Qualifying Exam in Mathematics. It can serve also as part of the Final Exam for the non-thesis MS degree.

Colloquium
Questions or comments?

Posted December 8, 2008

Last modified December 12, 2008

Burak Aksoylu, Department of Mathematics and CCT

Rigorously Justified Solvers for Rough Coefficients

Abstract:

Roughness of PDE coefficients causes loss of robustness of

preconditioners. The main goal is to recover robustness and obtain

rigorous structural understanding of the involved process. A

qualitative understanding of the PDE operators and their dependence on

the coefficients is essential for designing preconditioners. This

process draws heavily upon effective utilization of theoretical tools.

According to experience, the performance of a preconditioner depends

essentially on the degree to which the preconditioned operator

approximates the properties of the underlying infinite dimensional

operator. For this reason, controlling the infinite dimensional

problem provides a basis for the construction of preconditioners. We

use tools from operator theory for this. On the other hand, another

basis is the control of the finite dimensional discretized

problem. For that, we use singular perturbation analysis (SPA). After

obtaining a preconditioner through SPA, a fundamental need is to

explain the effectiveness of the preconditioner and to justify that

rigorously. With the insights provided by operator theory and SPA, we

are in control of the effectiveness and computational feasibility

simultaneously.

Based on ideas developed for porous media flow, we present a new

preconditioning strategy which is computationally comparable to

algebraic multigrid, but with rigorous justification. We will also

demonstrate how SPA gives valuable insight to the asymptotic behavior

of the solution of the underlying PDE, hence, provides feedback for

preconditioner construction.

There will be coffee and cookies in the lounge at 3:00.

Posted January 12, 2009

3:40 pm
Stephen Shipman, Mathematics Department, LSU

Discrete Dynamics, Chaos, and a Connection to Number Theory

The connection is the Möbius transform. We begin with the sequence 1, 2, 6, 12, 30, 54, 126, 240, 504, 990, ... and find out how it is generated and what it means in terms of a simple discrete dynamical system on the unit circle.

Student Colloquium Speaker

Posted December 4, 2008

Last modified January 21, 2009

Thomas Struppeck, Casualty Actuarial Society

Career Opportunities for Mathematicians in Insurance and Finance

What opportunities in the finance arena are there today for mathematics majors? Hs the collapse of the mortgage market (and several large hedge funds) reduce the demand for 'quants'? Where could graduating undergraduate mathematics majors look for jobs? How about graduate students?

This talk will try and shed some light on these and related questions. A good way to break into these fields is through the actuarial exams. Of course, the actuarial exams can also lead to a career as a traditional actuary in addition to opening doors into related fields.

There will be time for questions at the end of the talk.

Student Colloquium Speaker

Posted December 4, 2008

Last modified January 21, 2009

Thomas Struppeck, Casualty Actuarial Society

The Mathematics of the Sub-Prime Meltdown

Asset backed securities: Collateralized Debt Obligations

Or

How to take some bad loans, assemble them into a pile, and almost bring down the world's financial system.

Years ago banks sought out deposits and then lent the money out to homebuyers. More recently, banks found that they made most of their money at the time that the loan was made, so they changed how they did business. They started selling their loans to investors shortly after making them. This gave the banks their money back immediately so they could quickly lend money to another homebuyer. This was a good thing, because it increased the number of loans being made to homebuyers. It also greatly increased the supply of loans for investors. Wall Street bankers found ways to package these loans so that they could be sold to investors. In this talk we will look at some of the mathematics behind how these packages work (and how they didn't work).

Now knowledge of financial mathematics will be assumed.

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted October 19, 2008

Last modified January 13, 2009

Linda Petzold, UC Santa Barbara
Member, National Academy of Engineering

Multiscale Simulation Of Biochemical Systems

rescheduled from September 5, 2008

In microscopic systems formed by living cells, the small numbers of some reactant molecules can result in dynamical behavior that is discrete and stochastic rather than continuous and deterministic. An analysis tool that respects these dynamical characteristics is the stochastic simulation algorithm (SSA). Despite recent improvements, as a procedure that simulates every reaction event, the SSA is necessarily inefficient for most realistic problems. There are two main reasons for this, both arising from the multiscale nature of the underlying problem: (1) the presence of multiple timescales (both fast and slow reactions); and (2) the need to include in the simulation both chemical species that are present in relatively small quantities and should be modeled by a discrete stochastic process, and species that are present in larger quantities and are more efficiently modeled by a deterministic differential equation. We will describe several recently developed techniques for multiscale simulation of biochemical systems, and outline some of the future challenges.
Complete details can be found at http://www.cct.lsu.edu/events/talks/448

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted January 13, 2009

2:30 pm - 3:30 pm Coates Hall 145
Margaret Wright, New York University
Member, National Academy of Sciences, National Academy of Engineering

What Can Be More Important Than "Faster" And "Bigger"?

For decades, the high-end computing community has come to expect continuing gains in the speed of computation and the size of data storage, and these expectations have consistently been fulfilled in remarkable ways. But "faster" and "bigger" are not the only things that count. We'll show how other factors, such as advances in mathematics and theoretical computer science, are just as important, leading to the obvious conclusion that an optimal strategy needs to be "faster, bigger, and smarter."

Complete details can be found at http://www.cct.lsu.edu/events/talks/450

Colloquium
Questions or comments?

Posted December 8, 2008

3:40 pm - 4:30 pm Lockett 285 (provisionally)
Michael Shapiro, Escuela Superior de Fisica y Matematicas del Instituto Politecnico Nacional, Mexico

On some basic ideas of hypercomplex analysis

Abstract: "Hypercomplex analysis" is a generic name for those

generalizations of one-dimensional complex analysis which involve

hypercomplex numbers. Quaternionic analysis is the oldest and the

most known version of it. In the talk, it will be discussed, first of

all, in which sense quaternionic analysis is a "proper" or a

"closest" version in low dimensions which includes as particular

cases, or sub-theories, such classic theories as vector analysis and

holomorphic mappings in two complex variables, as well as some

systems of partial differential equations. This allows one, by

developing quaternionic analysis, to obtain new results for the above

classic theories and to refine known ones; some applications of this

approach to harmonic analysis, operator theory, mathematical

physics, will be mentioned. Some comments on Clifford analysis and

its applications will be also made.

There will be coffee and cookies in the lounge at 3:00.

Colloquium
Questions or comments?

Posted December 8, 2008

Last modified December 9, 2008

Maria Elena Luna-Elizarraras, Escuela Superior de Fisica y Matematicas del Instituto Politecnico Nacional, Mexico

On functional analysis with quaternionic scalars

Here is an abstract.

There will be coffee and cookies in the lounge at 3:00.

Posted January 28, 2009

Last modified January 30, 2009

**Movie:: ** Music of the Primes: From Riemann to Ramanujan

"With the advent of Bernhard Riemann's zeta-hypothesis, the study of prime numbers took on astonishing new dimensions--including a way to predict the appearance of primes. ... Using state-of-the-art 3-D animation, the film guides viewers through the zero-punctuated pattern [of the zeta-function] that Riemann unveiled. It also describes the friendship between G. H. Hardy and Srinivasa Ramanujan and the difficulties both men experienced as they confronted problems in number theory." (from the DVD jacket)

There will be food.

Math Club webpage

Frontiers of Scientific Computing Lecture Series

Posted January 13, 2009

2:00 pm - 3:00 pm Johnston Hall 338
Jack Dongarra, University Of Tennessee And Oak Ridge National Laboratory
Member, National Academy of Engineering

An Overview Of High Performance Computing And Challenges For The Future

In this talk we examine how high performance computing has changed over the last 10-year and look toward the future in terms of trends. These changes have had and will continue to have a major impact on our software. A new generation of software libraries and algorithms are needed for the effective and reliable use of (wide area) dynamic, distributed and parallel environments. Some of the software and algorithm challenges have already been encountered, such as management of communication and memory hierarchies through a combination of compile--time and run--time techniques, but the increased scale of computation, depth of memory hierarchies, range of latencies, and increased run--time environment variability will make these problems much harder. We will focus on the redesign of software to fit multicore architectures. Additional details can be found at http://www.cct.lsu.edu/events/talks/449

Harmonic Analysis Seminar
Abstract and additional information

Posted January 29, 2009

2:40 pm - 3:30 pm Lockett 381
Dimitar Grantcharov, University of Texas, Arlington

Weight Modules of Affine Lie Algebras

> Abstract: The problem of classifying irreducible weight modules with finite dimensional weight spaces over affine Lie algebras has been studied actively or the last 20 years. Remarkable results include the classification of integrable modules by V. Chari, the study of parabolically induced modules by V. Futorny, and the study of weight modules with bounded weight multiplicities by D. Britten and F. Lemire. There are two important classes of irreducible weight modules with finite dimensional weight spaces: the parabolically induced modules and the loop modules. Several authors made conjectures that would imply that these exhaust all irreducible weight modules with finite dimensional weight spaces. In a joint work with I. Dimitrov we confirm that these conjectures are correct and as a result obtain the classification. In this talk we will present the main ideas and results from our joint work.

Faculty Meeting
Questions or comments?

Posted January 13, 2009

Last modified February 9, 2009

Meeting of the Tenured Faculty

Consideration of a contract renewal to tenure.

Geometry and Topology Seminar
Seminar website

Posted February 10, 2009

3:40 pm - 4:40 pm Lockett 233
Chad Giusti, University of Oregon

Virtual Seminar: Unstable Vassiliev Theory

This week's AccessGrid virtual seminar will be presented locally by Chad Giusti. For more information and for future event listings, please visit the Topology Seminar events page.

Frontiers of Scientific Computing Lecture Series

Posted November 24, 2008

Last modified January 13, 2009

Marsha Berger, Courant Institute
Member, National Academy of Science and National Academy of Engineering

Computing Fluid Flows In Complex Geometry

We give an overview of the difficulties in simulating fluid flow in complex geometry. The principal approaches use either overlapping or patched body-fitted grdis, unstructured grids, or Cartesian (non-body-fitted) grids, with our work focusing on the latter. Cartesian methods have the advantage that no explicit mesh generation is needed, greatly reducing the human effort involved in complex flow computations. However it is a challenge to find stable and accurate difference formulas for the irregular Cartesian cells cut by the boundary. We discuss some of the steps involved in preparing for and carrying out a fluid flow simulation in complicated geometry. We present some of the technical issues involved in this approach, including the special discretizations needed to avoid loss of accuracy and stability at the irregular cells, as well as how we obtain highly scalable parallel performance. This method is in routine use for aerodynamic calculations in several organizations, including NASA Ames Research Center. Many open problems are discussed.
Additional details can be found at
http://www.cct.lsu.edu/events/talks/443

Refreshments will be served at 10:30.

Geometry and Topology Seminar
Seminar website

Posted February 17, 2009

3:30 pm - 4:30 pm 233 Lockett
Scott Baldridge, Louisiana State University

Virtual Seminar: Cube knots and knot Floer homology from cube diagrams

This week's AccessGrid virtual seminar will be presented locally by Scott Baldridge. For more information and for future event listings, please visit the Topology Seminar events page.

SIAM Student Chapter Event

Posted February 10, 2009

Last modified February 12, 2009

Stephen Shipman, Mathematics Department, LSU

Radiation conditions in wave scattering

Abstract: Correct physical and mathematical formulation of problems of scattering of waves by an obstacle requires a precise condition characterizing the scattered, or diffracted wave. For bounded obstacles, this condition is the Sommerfeld radiation condition (Helmholtz equation) or the Silver-Muller condition (Maxwell system). For unbounded obstacles, the condition is not always so obvious. A radiation condition takes on various forms, such as (1) an asymptotic outgoing condition for the far field, (2) a nullspace condition involving the Calderon boundary-integral projectors, and (3) a Dirchlet-to-Neumann map, appropriate for variational formulations of the PDE.

Student Seminar/SIAM Student Chapter

Posted February 17, 2009

Last modified February 18, 2009

Yue Chen, Mathematics Department, LSU

Optimal lower bounds on the strain and stress inside prestressed, random two-phase elastic composites

I will present the optimal lower bounds for the L^p norm of pre-stress inside random media, and also give the microstructure which attains some optimal lower bounds. This is the research work under the direction of Prof. Lipton.

Algebra and Number Theory Seminar
Questions or comments?

Posted February 27, 2009

3:40 am - 4:30 am Lockett 285
Robert Perlis, Mathematics Department, LSU

The 1-2-3's of Zeta functions of Graphs

Abstract: In 1968, Ihara introduced the zeta function of a finite graph,
with important contributions coming later in papers of Hashimoto, Bass, and Stark and Terras. More recently Mizuno and Sato considered the zeta function of a fully directed graph. (Zeta functions are proliferating like kudzu! Somebody, please make them stop!) In 2003, Sato found a rational expression for the zeta function of a connected, simple, partially directed graph.

This talk will be an elementary introduction to the subject of zeta
functions of graphs (undirected, fully directed, partially directed) and end
with a new theorem giving an Ihara-type formula for the zeta function of any
partially directed graph without Sato's assumptions of connected and simple.

LSU Student Chapter of the Association for Women in Mathematics

Posted February 26, 2009

12:30 pm - 2:00 am Keisler Lounge Room 321Welcome Event

For more info: http://www.math.lsu.edu/awm/images/AWM.pdf

Colloquium
Questions or comments?

Posted February 2, 2009

Last modified February 27, 2009

Stephen Sawin, Fairfield University

Supersymmetry, Quantum Mechanics and the Gauss-Bonnet-Chern Theorem

Abstract: In joint work with Dana Fine at UMass Dartmouth, we will give a

rigorous construction of the path integral describing the time-

evolution operator for imaginary time quantum mechanics, with and

without $N=1$ supersymmetry. The path integral is constructed as a

limit of finite-dimensional approximating integrals, with concrete

uniform estimates on the convergence. Consequences of this include

an alternative construction of the Laplace and Laplace-Beltrami heat

kernels. We will use this construction to give a rigorous version of

Witten/Alvarez-Gaumé/Friedan and Windey's path integral "proof"

of the Gauss-Bonnet-Chern Theorem, and explain how we expect a minor

variation to make rigorous their proof of the general Index Theorem.

There will be coffee and cookies in the lounge at 3:00.

SIAM Student Chapter Event

Posted February 26, 2009

11:00 am Johnston Hall 338
Blaise Bourdin, Department of Mathematics and Center for Computation & Technology, LSU

A Panorama of the Variational Approach to Fracture

Fracture Mechanics may be viewed as a grand success of the last century: planes do not fall out of the sky, ships do not split in two, and buildings don't collapse. Yet, unexpected dramatic failures remind us that all is not fully understood. In this talk, I will briefly describe the achievements and open issues of the classical methods for Fracture Mechanics. Then, I will present a variational approach originally devised by G.A. Francfort and J.-J. Marigo, and based on the concept of competition between bulk and surface energy. I will illustrate the numerical implementation of the model by numerical experiments in 2 and 3 dimensions. In the last part of my talk, I will describe open research opportunities in the form of several possible extensions and applications of the model.

Colloquium
Questions or comments?

Posted February 19, 2009

Last modified March 3, 2009

Charles Livingston, Indiana University

Four-dimensional aspects of classical knot theory

Abstract: Classical knot theory studies knots in 3-space; that is,
embeddings of the unit circle, S^1, into R^3. Higher dimensional knot
theory generalizes this, for instance by considering embeddings of the
2-sphere, S^2, into R^4. In this talk I will discuss an aspect of knot
theory between the low and high-dimensional realms: the study of knots in
3-space in terms of the surfaces they bound in upper 4-space, H^4, the set
of points (x,y,z,w) in R^4 with w > 0. Three of the goals of the
presentation will be to: (1) give some intuitive insight into how knots can
bound such surfaces; (2) describe a few of the central topics in geometric
topology that motivate looking at knots in this way; and (3) summarize some
recent advances in the area.

There will be coffee and cookies in the lounge at 3:00.

Applied Analysis Seminar
Questions or comments?

Posted February 11, 2009

3:40 pm - 4:30 pm
Monica Torres, Department of Mathematics, Purdue University

The structure of solutions of systems of hyperbolic conservation laws

Hyperbolic systems of conservations laws model many areas of physics, including fluid mechanics, acoustics, etc. One of the main challenges in the analysis of these equations is that solutions develop singularities even if the initial data is smooth. These singularities are known as shock waves. Existence theorems only show that entropy solutions belong to some $L^p$ space and satisfy an entropy inequality in the distributional sense. Therefore, an open problem is to study the structure of solutions and regularity of the shock waves. In this talk we present results in this direction, which include some Liouville-type results for systems of conservation laws.

Colloquium
Questions or comments?

Posted February 10, 2009

Last modified February 19, 2009

Stratos Prassidis, Canisius College

Detecting Linear Groups

Abstract: Linear groups are subgroups of general linear groups. Deciding if

a group is linear or not is an old problem in group theory. Linear groups

became important in topology after the Isomorphism Conjecture was proved for

discrete linear groups. We present criteria that guarantee that a group is

linear and some applications. At the end, we will show a hands-on proof that

the holomorph of the free group on two generators is linear.

There will be coffee and cookies in the lounge at 3:00.

Student Colloquium Speaker

Posted February 7, 2009

3:40 pm - 4:30 pm Lockett 285
Mark Sepanski, Mathematics Department, Baylor University

Just Can't Stop Counting

We all begin our mathematical life by studying the integers. And while the integers are pretty cool, you can only multiply so many seven digit numbers before you call it quits and move on to the rational numbers. After that, you hit the real numbers and eventually move on to the complex numbers. But what comes next--if anything? In this talk we'll give one version of the answer to this question.

Student Colloquium Speaker

Posted February 7, 2009

Last modified March 13, 2009

Mark Sepanski, Mathematics Department, Baylor University

Why Torture Us With Proofs?

In this discussion, we'll look at a number of obviously true patterns and theorems. Unfortunately, some of these obvious results turn out to be quite false! As a result, we'll see why mathematicians blab so incessantly about proofs.

Colloquium
Questions or comments?

Posted February 2, 2009

Last modified February 15, 2009

Jiazu Zhou, Southwest University, China

Geometric measures and geometric inequalities

An abstract is available.

There will be coffee and cookies in the lounge at 3:00.

Harmonic Analysis Seminar
Abstract and additional information

Posted February 19, 2009

2:40 pm - 3:30 pm Lockett 381
Martin Laubinger, University of Muenster

Groups acting on Trees

The action of $SL(2,\R)$ on the upper half plane is an important tool in the representation theory of $SL(2,\R)$. We explain the $p$-adic analogue, which is an action of $SL(2,Q_p)$ on a tree. This tree is one of the simplest examples of a Bruhat-Tits building. We mention some applications of this action, as well as a generalization: if $K$ is a field with valuation taking values in any ordered abelian group, one can still define a 'tree' associated with $SL(2,K).$

Posted January 20, 2009

12:00 pm - 1:00 pm Lockett 301D---Conference RoomFinal Event of Final Exam for Non-Thesis MS

Each student applying to receive an MS in May 2009 must sign up also with the Graduate School for the final exam final event as listed here. The Committee will be Profs. Richardson (Chair), Dasbach, and He.

Algebra and Number Theory Seminar
Questions or comments?

Posted March 12, 2009

Last modified March 14, 2009

Robert Peck, Department of Music, Louisiana State University

Applications of Wreath Products to Music Theory

Wreath products are familiar structures in mathematics, but they are relatively new to music theory. This study proposes an investigation into the musical relevance of wreath products, drawing on examples from selected musical literature of the nineteenth and twentieth centuries. We begin by examining a few commonly used groups in music theory, and observe how we may use permutation isomorphism to relate certain orbit restrictions of these groups. Next, we define a direct product of such orbit restrictions. Finally, we allow a permutation of the orbit restrictions themselves, which yields a wreath product. We include examples from Robert Schumann's "Im wunderschoenen Monat Mai," from Dichterliebe, op. 48; Richard Wagner's Siegfried; and Anton Webern's Cantata, op. 29.

Harmonic Analysis Seminar
Abstract and additional information

Posted March 20, 2009

Last modified March 23, 2009

Daniel Sage, Mathematics Department, LSU

An explicit basis of lowering operators for irreducible representations of unitary groups

> Abstract: It is well-known that the dimensions of irreducible

> representations of unitary groups can be computed in terms of Young

> tableaux. More specifically, each irreducible representation contains

> a unique highest weight which may be interpreted as a Young diagram,

> and the dimension of any weight space of this representation is given

> by the number of semistandard Young tableaux with content determined

> by the weight. In the usual Lie-theoretic construction of these

> representations as highest-weight modules, it is easy to see that a

> spanning set for each representation is obtained by applying lowering

> operators to the highest weight vector; however, extracting a basis

> from this spanning set is less straightforward. In this talk, I

> describe a general method for finding such bases. In particular, I

> show how to associate a monomial lowering operator to any semistandard

> tableau in such a way that the lowering operators corresponding to the

> semistandard tableaux of shape l and content m give rise to a basis

> for the m-weight space of the irreducible representation with highest

> weight l. This work is joint with Larry Smolinsky.

LSU Student Chapter of the Association for Women in Mathematics

Posted March 20, 2009

9:30 am - 10:30 am Room 331 Johnston HallConversation with Prof. Lisa Fauci

Prof. Lisa Fauci from Tulane University is visiting LSU on March 31st. The Chapter members are invited to meet with her from 9:30-10:30a.m in Johnston Hall Room 331. Refreshments will be served.

Frontiers of Scientific Computing Lecture Series

Posted March 13, 2009

11:00 am - 12:00 pm Johnston Hall 338
Lisa Fauci, Tulane University

Interaction of Elastic Biological Structures with Complex Fluids

Posted March 5, 2009

Last modified March 13, 2009

Victor Moll, Department of Mathematics, Tulane University

What do I learn if I decide to compute integrals?

Abstract here in pdf form.

Algebra and Number Theory Seminar
Questions or comments?

Posted March 25, 2009

3:40 pm - 4:30 pm Lockett 285
Augusto Nobile, Mathematics Department, LSU

Algorithmic resolution and equiresolution of singularities

We'll review the theory of algorithmic (or constructive) resolution of singularities of algebraic varieties (and some related objects) in characteristic zero and discuss the problem of simultaneous resolution when we have a family, in a way compatible with a chosen resolution algorithm (even in the case when the parameter space is not reduced, e.g. the spectrum of an Artinian ring).

Colloquium
Questions or comments?

Posted March 26, 2009

3:40 pm - 4:30 pm Lockett 285
Gregor Masbaum, University Paris 7

Trees , Pfaffians and Complexity (or How not to win a million dollars)

There will be coffee and cookies in the lounge at 3:00.

Probability Seminar
Questions or comments?

Posted March 30, 2009

Last modified April 13, 2009

Jeremy Becnel, Stephen F. Austin State University

Forming the Radon Transform and Support Theorem in Infinite Dimensions

Algebra and Number Theory Seminar
Questions or comments?

Posted April 13, 2009

3:40 pm - 4:30 pm Lockett 285
Augusto Nobile, Mathematics Department, LSU

Algorithmic resolution and equiresolution of singularities II

Frontiers of Scientific Computing Lecture Series

Posted March 5, 2009

1:00 pm - 2:00 pm Johnston Hall 338
Claude Le Bris, ENPC and INRIA, France

Computational Multiscale Mechanics: A Mathematical Perspective

The talk will overview recent progress in the mathematical understanding of numerical approaches coupling an atomistic and a continuum description of matter. The talk is based upon a series of works in collaboration with X. Blanc (Univ Paris 6), F. Legoll (ENPC), P.-L. Lions (College de France). The perspective is mathematical. The purpose is to describe the theoretical tools and concepts that allow for a better foundation of the numerical approaches. It is also to point out some important unsolved mathematical issues.

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 14, 2009

3:15 pm - 3:35 pm 235 Lockett Hall
Irina Craciun, Department of Mathematics, LSU
Graduate Student

The Wirtinger Presentation of Knot Groups

Posted March 30, 2009

Last modified March 31, 2009

Career Day Event

The LSU Student Chapter of the Association for Women in Mathematics, the LSU Chapter of the Society of Industrial and Applied Mathematics, and the Mathematics Department are cosponsoring a Career Day for the Mathematics Graduate Students. The goal is to give advice to students about the job application process and career options.

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 14, 2009

3:35 pm - 3:55 pm 235 Lockett Hall
Matthew Dawson, Department of Mathematics, LSU
Graduate Student

Cluster Sets: How Bad Can the Discontinuities Be?

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 14, 2009

3:55 pm - 4:15 pm 235 Lockett Hall
Ying Hu, Department of Mathematics, LSU
Graduate Student

The Classification of G-Coverings

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 14, 2009

4:15 pm - 4:35 pm 235 Lockett Hall
Dennis Hall, Department of Mathematics, LSU
Graduate Student

Introduction to Knot Theory and the Jones Polynomial

Computational Mathematics Seminar

Posted March 16, 2009

Last modified April 13, 2009

Luke Owens, Texas A&M University

Solving the Eikonal equation on adaptive triangular and tetrahedral meshes

http://www.cct.lsu.edu/events/talks/472

Student Colloquium

Posted March 6, 2009

Last modified March 31, 2009

Carlos Castillo-Chavez, Arizona State University
Regents and Juaquin Bustov Jr. Professor

Opportunities in the Mathematical Sciences: What should I study if I am interested in interdisciplinary research?

A recent article in the Wall Street Journal reported that the best career is that of a mathematician. Why is this so? Why is the training in mathematics so critical? And what do we mean by mathematical training? In this lecture, I will provide some personal responses to the above questions and show the advantages of redirecting mathematics training from what I have learned in the context of undergraduate and graduatte research.

Student Colloquium

Posted March 6, 2009

Last modified March 31, 2009

Carlos Castillo-Chavez, Arizona State University
Regents and Juaquin Bustov Jr. Professor

Mathematical Epidemiology: Challenges and Opportunities

We hear almost daily about the dangers of potential bird "flu" epidemics, the risk of catching deadly diseases in hospitals, or the level of preparedness that our country has as it plans its responses to the dangers posed by the deliberate releases of biological agents. We also hear about new medical advances that include the development of new vaccine including the rotavirus vaccine as well as the continuous search for ways of fighting HIV.

In this lecture, I will discuss the role that modeling and the mathematical sciences have played in the study of the dynamics and control of infectious diseases. I will briefly review the history of mathematical and theoretical epidemiology which goes back to the times of the Bernoulli family and highlight some current application in the context of specific diseases. This lecture should be of interest to mathematicians interested in applications as well as to biologists and social scientists interested in the development and testing of intervention strategies

Applied Analysis Seminar
Questions or comments?

Posted January 20, 2009

Last modified April 17, 2009

David Dobson, Department of Mathematics, University of Utah

Electromagnetic transmission resonances in periodic hole arrays

Recently there has been increasing interest in terahertz-frequency electromagnetic radiation in the engineering community. Improved methods of generating such radiation has led to hopes of applications in communications, imaging, and spectroscopy. Unfortunately almost all materials are highly absorptive in the terahertz range, making device design difficult. One method of manipulating terahertz radiation is by filtering through thin, perforated metal plates. Such plates exhibit interesting, and sometimes unexpected transmission properties. The transmission spectrum depends strongly on both the hole pattern and the aperture shape. This talk will describe some work on developing a model for transmission through periodic hole arrays, including analysis and numerical methods. We conclude with some preliminary work on the problem of optimal design of aperture shape to produce a desired transmission spectrum.

Host: Stephen Shipman

SIAM Student Chapter Event

Posted March 30, 2009

8:30 am - 10:00 am Keisler Lounge, Lockett Hall 321
Carlos Castillo-Chavez, Arizona State University
Regents and Juaquin Bustov Jr. Professor

Conversation with Prof. Carlos Castillo-Chavez

Prof. Carlos Castillo-Chavez from Arizona State University is visiting LSU on April 20th-21st. The SIAM Chapter members and all graduate students in math department are invited to meet with him from 8:30-10:00a.m in Keisler Lounge, Lockett Hall 321. Refreshments will be served.

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 21, 2009

3:15 pm - 3:35 pm 235 Lockett Hall
Jacob Aguilar, Department of Mathematics, LSU
Graduate Student

The Sensitivity of Linear Systems

Faculty Meeting
Questions or comments?

Posted April 16, 2009

3:30 pm Lockett 284Meeting of the full professors

Promotion case.

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 21, 2009

3:35 pm - 3:55 pm 235 Lockett Hall
Sen Yang, Department of Mathematics, LSU
Graduate Student

Bezout Theorem

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 21, 2009

3:55 pm - 4:15 pm 235 Lockett Hall
Adam Cross, Department of Mathematics, LSU
Graduate Student

Non-Associative Addition and Non-Euclidean Geometry

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 21, 2009

4:15 pm - 4:35 pm 235 Lockett Hall
Yunyun Yang, Department of Mathematics, LSU
Graduate Student

Introduction to Clifford Algebra

Colloquium
Questions or comments?

Posted April 12, 2009

Last modified April 20, 2009

Ivan Dimitrov, Queen's University (Canada)

A geometric realization of extreme components of the tensor product of modules over algebraic groups

Abstract: In this talk I will explain how the celebrated theorem of

Borel-Weil-Bott provides a natural realization of some extreme

components of the tensor product of two irreducible modules of simple

algebraic groups. I will also discuss a number of connections of our

construction with problems coming from Representation Theory,

Combinatorics, and Geometry, including questions about the

Littlewood--Richardson cone related to Horn's conjecture, settled by

Knutson and Tao in the late 1990's.

The talk is based on a joint work with Mike Roth.

There will be coffee and cookies in the lounge at 2:00.

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 23, 2009

3:15 pm - 3:35 pm 235 Lockett Hall
Joel Geiger, Department of Mathematics, LSU
Graduate Student

Introduction to Knot Theory: Knot Invariants

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 23, 2009

3:35 pm - 3:55 pm 235 Lockett Hall
Xinyao Yang, Department of Mathematics, LSU
Graduate Student

Introduction to Free Probability Theory

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 23, 2009

3:55 pm - 4:15 pm 235 Lockett Hall
Daniel Guillot, Department of Mathematics, LSU
Graduate Student

Coloring Graphs of Thickness t

Posted April 22, 2009

3:30 pm Keisler Lounge, Lockett Hall 321Math Movie

We will vote for either "Fermat's Room" or a BBC documentary. Pizza and popcorn will be served.

Applied Analysis Seminar
Questions or comments?

Posted March 13, 2009

Last modified March 15, 2009

Tadele Mengesha, Louisiana State University

TBA

Applied Analysis Seminar
Questions or comments?

Posted April 13, 2009

3:40 pm - 4:30 pm Lockett 285
Tadele Mengesha, Louisiana State University

Sufficient conditions for smooth strong local minima

The talk addresses the conjecture that uniform quasiconvexity and uniform positivity of the second variation are sufficient for a smooth extremal to be a strong local minimizer. Our result holds for a class of variational integrals with integrands of polynomial growth at infinity. The proof is based on the decomposition of an arbitrary variation into its purely strong and weak parts. We show that these two parts act independently on the functional. The action of the weak part can be described in terms of the second variation. While the uniform positivity of the second variation prevents the weak part from decreasing the functional, the uniform quasiconvexity conditions prevent the strong part from doing the same. This is a joint work with Yury Grabovsky.

IGERT Seminar Series

Posted April 23, 2009

3:00 pm 338 Johnston Hall
Miroslav Krstic, University of California, San Diego
IEEE Fellow

Compensation of Long Input Delays for Unstable Nonlinear and PDE Systems

Here is an abstract.

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 30, 2009

3:15 pm - 3:35 pm 235 Lockett Hall
Laura Rider, Department of Mathematics, LSU
Graduate Student

Introduction to Varieties

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 30, 2009

3:35 pm - 3:55 pm 235 Lockett Hall
Dongxiang Yan, Department of Mathematics, LSU
Graduate Student

An Introduction to Black-Scholes Option-Pricing Model

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 30, 2009

3:55 pm - 4:15 pm 235 Lockett Hall
B. Nicholas Wahle, Department of Mathematics, LSU
Graduate Student

When is K_{1,n} not a Minor?

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 30, 2009

4:15 pm - 4:35 pm 235 Lockett Hall
Yi Zhang, Department of Mathematics, LSU
Graduate Student

The Cauchy Functional Equation

Harmonic Analysis Seminar
Abstract and additional information

Posted April 20, 2009

2:40 pm - 3:30 pm Lockett 381
Boris Rubin, Lousiana State University

Comparison of volumes of convex bodies in real, complex, and quaternionic spaces

The classical Busemann-Petty problem (1956) asks, whether origin-symmetric convex bodies in $R^n$ with smaller hyperplane central sections necessarily have smaller volumes. The answer is known to be affirmative if $n\le 4$ and negative if $n>4$. The same question for equilibrated convex bodies in the $n$-dimensional complex space $C^n$ has an affirmative answer if and only if $n\le 3$. We show that the similar problem in the $n$-dimensional quaternionic space $H^n$ has an affirmative answer if and only if $n=2$. Our method relies on the properties of Radon and cosine transforms on the unit sphere.

Posted March 24, 2009

3:30 pm The James Kiesler Lounge 319 Lockett HallSpring Math Awards Ceremony

The Porcelli Award for Academic Excellence, the Porcelli Scholarships, the Betti and Robert Giles Senior Mathematics Award, the David Oxley Memorial Graduate Student Teaching Award, and Certificates of Teaching Excellence (for graduate assistants) will be awarded. Refreshments will be provided.

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 30, 2009

3:15 pm - 3:35 pm 235 Lockett Hall
Jesse Taylor, Department of Mathematics, LSU
Graduate Student

Nowhere-Zero Flows in Graphs

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 30, 2009

3:35 pm - 3:55 pm 235 Lockett Hall
Mustafa Hajij, Department of Mathematics, LSU
Graduate Student

Asymptotic Power Series in a Complex Variable

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 30, 2009

3:55 pm - 4:15 pm 235 Lockett Hall
Derek Van Farowe, Department of Mathematics, LSU
Graduate Student

Simplicial Homology and the Euler Characteristic

Communicating Mathematics Talk
First-year graduate student presentation

Posted April 30, 2009

4:15 pm - 4:35 pm 235 Lockett Hall
Tyler Moss, Department of Mathematics, LSU
Graduate Student

List-Coloring Graphs

Combinatorics Seminar
Questions or comments?

Posted April 30, 2009

3:40 pm - 4:30 pm 285 Lockett Hall
Ken Shoda, George Washington University

Semi-Magic Square Matroids: A Super-exponential family of nonisomorphic matroids having the same Tutte polynomial

Harmonic Analysis Seminar
Abstract and additional information

Posted April 23, 2009

11:00 am - 12:00 pm Lockett 381
Huajun Huang, Auburn University

On Simultaneous Isometry of Subspaces

Let $(V,b)$ be a metric space with a nonsingular symmetric, skew-symmetric, Hermitian, or skew-Hermitian form $b$. Witt's theorem states that an isometry between two subspaces of $V$ can be extended to an isometry of the whole space $V$. In this talk, I will present several results that extend Witt's theorem to simultaneous isometries of subspaces by using matrix analysis techniques. As applications, I will illustrate some examples in isometry groups orbits and invariants. The results could be applied to isometry problems in Hilbert spaces.

Award Ceremony

Posted April 22, 2009

5:00 pm Pleasant Hall Math LabAward Ceremony

Our LSU Math Lab in Pleasant Hall has been selected to receive the Pearson Education Teaching and Technology Leadership Award.

Computational Mathematics Seminar

Posted May 7, 2009

11:00 am - 12:00 pm 338 Johnston Hall
Jiangguo Liu, Colorado State University

The Enriched Galerkin (EG) Method For Local Conservation

Abstract: In this talk, we present a locally mass-conservative finite element method based on enriching the approximation space of the continuous Galerkin (CG) method with elementwise constant functions. The proposed method has a smaller number of degrees of freedom than the discontinuous Galerkin (DG) method. Numerical results on coupled flow and transport problems in porous media are provided to illustrate the advantages of this method. Optimal error estimates of the EG method and comparison with related post-processing methods will be discussed also. This is a joint work with Shuyu Sun at Clemson University. Refreshments will be served at 10:30.

Control and Optimization Seminar
Questions or comments?

Posted June 28, 2009

10:00 am Lockett 301D (Conference Room)
Michael Malisoff, LSU

Strict Lyapunov Function Constructions under LaSalle Conditions with an Application to Lotka-Volterra Systems

This informal seminar is by special request of Guillermo Ferreyra and is open to all faculty and graduate students. Here is its abstract, and here are the related papers and slides.

SIAM Student Chapter Event

Posted July 7, 2009

10:00 am Johnston Hall 338Personal Webpage Construction and Design Seminar

The speakers are Jeffrey Sheldon, Nikkos Svoboda, Silvia Jimenez and Jens Christensen. They will present on setting up departmental based website, basic commands and webpage design, and webpage for job applications.

Posted August 7, 2009

12:00 pm Johnston Hall 338
Jintao Cui, Mathematics Department, LSU

Introduction to LSU SIAM Student Chapter

The LSU SIAM Student Chapter is inviting all the students who are participating in the GEAUX program and Math Tune-up program to a pizza lunch and we would like to give a general introduction to the Chapter and our activities. You are all welcome to attend this event.

Posted August 11, 2009

1:00 pm - 4:00 pm 285 Lockett HallComprehensive / PhD Qualifying Exam: ALGEBRA

Posted August 11, 2009

1:00 pm - 4:00 pm 285 Lockett HallComprehensive / PhD Qualifying Exam: ANALYSIS

Posted August 11, 2009

1:00 pm - 4:00 pm 285 Lockett HallComprehensive / PhD Qualifying Exam: TOPOLOGY

Computational Mathematics Seminar

Posted August 20, 2009

3:00 pm - 3:50 pm 338 Johnston Hall
Michael Neilan, Louisiana State University

Numerical Methods for Fully Nonlinear Second Order PDEs and Applications

Fully nonlinear second order PDEs arise in many areas of science including optimal transport, meteorology, differential geometry, and optimal design. However, numerical methods for general fully nonlinear second order PDEs still remains a relatively untouched area. In this talk, I will introduce a new notion of solutions for these equations called moment solutions which are based on a constructive limiting process called the vanishing moment method. I will then present three finite element methods based on the vanishing moment method. Finally, I will demonstrate the effectiveness of the method with numerical examples.

Faculty Meeting
Questions or comments?

Posted August 17, 2009

3:40 pm Lockett 15Facutly meeting

Colloquium
Questions or comments?

Posted August 11, 2009

Last modified August 16, 2009

Pramod Achar, Mathematics Department, LSU

Positivity, sheaves, and representation theory

Abstract:

The celebrated "Kazhdan-Lusztig polynomials" of an algebraic group have an

elementary combinatorial definition, but the proof that all their

coefficients are nonnegative requires very deep results from algebraic

geometry--the Weil conjectures, proved by Deligne in the 1970's. The link

between combinatorics and algebraic geometry is furnished by sheaf theory,

especially the so-called "perverse sheaves." I will explain how

"positivity" results come out of the interaction of these topics, and I will

also discuss more recent developments in which perverse sheaves are replaced

by vector bundles and coherent sheaves.

There will be coffee and cookies in the lounge at 3:00.

Posted July 27, 2009

Last modified July 28, 2009

Michele Benzi, Emory University

Key Moments In The History Of Numerical Analysis

The talk will highlight some of the key moments in the evolution of numerical analysis into an independent mathematical discipline. The necessary context and background behind technical developments will be carefully exposed, as well as biographical information about the major figures in the field. The main focus of the talk will be on the early history of matrix iterations.

Additional details can be found at http://www.cct.lsu.edu/events/talks/489

Applied Analysis Seminar
Questions or comments?

Posted August 24, 2009

3:40 pm - 4:30 pm Room 233 Lockett Hall
Robert Lipton, Mathematics Department, LSU

Strength of Elastic - Plastic Composites Made From Random Configurations of Two Materials

Posted August 28, 2009

3:40 pm Keisler Lounge, Lockett Hall 321
Susan Abernathy, Louisiana State University

Knot theory

Abstract. Knot theory connects to a wide varity of areas in mathematics. In this talk, we will review some basics of knots and introduce some of the diverse techniques used to differentiate knots, including certain knot invariants and Morse theory.

Computational Mathematics Seminar

Posted August 24, 2009

Last modified August 25, 2009

Andrew Barker, Louisiana State University

Monolithically Coupled Scalable Parallel Algorithms For Simulation Of Fluid-structure Interaction

Simulation of fluid-structure interaction is a computationally difficult problem that is important in a variety of applications. Doing it well requires not only accurately modeling physics for the fluid and the structure, but also coupling them together in a stable and efficient manner, and developing scalable numerical methods for this highly nonlinear problem is a challenge. In this talk we describe and examine parallel, scalable techniques in the multilevel Newton-Krylov-Schwarz family for solving the fully implicit fluid-structure interaction system on dynamic unstructured moving finite element meshes in the arbitrary Lagrangian-Eulerian framework. Our emphasis is on tight monolithic coupling of the physical systems and the computational mesh, and on the parallel scalability of the method. We present applications of the method to the simulation of blood flow on vessel geometries derived from patient-specific clinical data.

Colloquium
Questions or comments?

Posted August 11, 2009

Last modified August 14, 2009

Habib Ouerdiane, University of Tunis El Manar

Generalized fractional evolution equations

Abstract:

In this talk we study the generalized Riemann-Liouville (resp. Caputo)

time fractional evolution equation in infinite dimensions. We show that

the explicit solution is given as the convolution between the initial

condition and a generalized function related to the Mittag-Leffler

function. The fundamental solution corresponding to the Riemann-Liouville

time fractional evolution equation does not admit a probabilistic

representation while for the Caputo time fractional evolution equation

it is related to the inverse stable subordinators.

There will be coffee and cookies in the lounge at 3:00.

Computational Mathematics Seminar

Posted August 28, 2009

3:10 pm - 4:00 pm 338 Johnston Hall
Xiaoliang Wan, Louisiana State University

Noise-induced Transition for the Kuramoto-Sivashinsky Equation

Noise-induced transition in the solutions of the Kuramoto-Sivashinsky equation is investigated using the minimum action method derived from the large deviation theory. This is then used as a starting point for exploring the configuration space of the Kuramoto-Sivashinsky equation. The particular example considered here is the transition between a stable fixed point and a stable traveling wave. Five saddle points, up to constants due to translational invariance, are identified based on the information given by the minimum action path (MAP). Heteroclinic orbits between the saddle points are identified. Relations between noise-induced transitions and the saddle points are examined.

Algebra and Number Theory Seminar
Questions or comments?

Posted September 2, 2009

3:40 pm Lockett 285
Marco Schlichting, Louisiana State University

Grothendieck-Witt groups and a counterexample to invariance under derived equivalences

Posted September 3, 2009

4:30 pm Keisler Hall: Lockett 321Movie Night! NOVA: Fractals

Hunting the Hidden Dimension. Come eat free pizza and enjoy a movie about mysteriously beautiful fractals that are shaking and deepening our understanding of nature.

Posted August 28, 2009

5:00 pm James E. Keisler Lounge (room 321 Lockett)Actuarial Student Association Meeting

Electing our officers for the upcoming year. As always, we welcome new members who wish to learn about the actuarial program at LSU and/or the profession in general. We will also be organizing study groups for the actuarial exams.

Colloquium
Questions or comments?

Posted August 11, 2009

Last modified August 14, 2009

Fernanda Cipriano, University of Lisbon

Statistical solutions for the 2D Euler equation

Abstract:

In the study of Euler and Navier-Stokes equations we can consider two

different approaches. The most classical one consist in the study of the

equations with specifique initial and boundary conditions.

Another approach, the so-called stochastic approach, consist in the

construction of suitable probability measures and study its evolution

in time according to the corresponding dynamic. The framework of

stochastic analysis can be used to construct solutions. In our

presentation, we follow the second point of view to present some

results on the 2D Euler equation with periodic boundary conditions.

We construct surface type measures on the level sets of the renormalized

energy and establish the existence of weak solutions living on such level

sets. We also prove the existence of weak solutions for the forward and

backward transport equations associated with the 2D Euler equation. Such

solutions can be interpreted, respectively, as a statistical Lagrangean

and statistical Eulerian description of the motion of the fluid.

There will be coffee and cookies in the lounge at 3:00.

Probability Seminar
Questions or comments?

Posted September 14, 2009

3:40 pm - 5:30 pm Lockett 285
Fernanda Cipriano, University of Lisbon

Habib Ouerdiane, Faculte des Sciences de Tunis, Tunis

Presentations on the Bargmann-Segal Transform and the Navier-Stokes Equation

Applied Analysis Seminar
Questions or comments?

Posted September 6, 2009

3:30 pm - 4:30 pm Room 233 Lockett Hall
Yaniv Almog, Department of Mathematics, LSU

Superconductivity Near the Normal State in the presence of electric current.

We consider the linearization of the time-dependent Ginzburg-Landau near the normal state. We assume that an electric current is applied through the sample, which captures the whole plane, inducing thereby, a magnetic field. We show that independently of the current, the normal state is always stable. Using Fourier analysis the detailed behaviour of solutions is obtained as well. Relying on semi-group theory we then obtain the spectral properties of the steady-state elliptic operator. We shall also consider the spectral properties of the same elliptic operator near a flat wall, and obtain the critical current in the limit of small and large normal conductivity

Posted September 10, 2009

4:30 pm Keisler Lounge, Lockett Hall 321Election of officers

Come eat free pizza, vote for your new officers, and play some fun math games. If you are interested in running for office, contact Josh Moulton.

Colloquium
Questions or comments?

Posted August 11, 2009

Last modified September 11, 2009

Milen Yakimov, LSU

Poisson geometry of flag varieties, ring theory and combinatorics

Abstract:

The geometry of Poisson Lie groups and Poisson homogeneous spaces was

actively studied after Drinfeld's celebrated 1986 ICM talk in which he

describe its importance for the representation theory of quantum groups.

In this talk we will go over various aspects of the geometry of Poisson

structures on flag varieties for complex simple Lie groups

(results with K. Brown and K. Goodearl). We will apply them to ring theory

to resolve several problems for the De Concini-Kac-Procesi algebras from

about 10-15 years ago: determining the torus invariant prime ideals of those

algebras, their inclusions, finding effective generating sets for the

ideals. We will also describe applications to combinatorics: 1. obtaining a

simple proof of the recent result of Knutson, Lam and Speyer for cyclicity

of the Lusztig stratification of Grassmannians, 2. combinatorial formulas

for Hecke algebras (with F. Brenti), 3. Deodhar's stratification of open

Richardson varieties (with B. Webster).

There will be coffee and cookies in the lounge at 3:00.

Posted September 9, 2009

3:30 pm Lockett Hall 233
Anna Zemlyanova, Department of Mathematics, LSU

Single- and double-spiral-vortex models for a supercavitating wedge in a jet

In this talk we study the effect which a cavity closure condition has on the flow of liquid around a supercavitating wedge in a jet. The comparison is made for the single- and double-spiral-vortex models proposed by Tulin. Both models are solved in closed form by the method of conformal mappings.

Colloquium
Questions or comments?

Posted July 27, 2009

3:40 pm - 4:30 pm Lockett 285
Stephen Smith, University of Illinois Chicago Circle

Revisiting the classification of the finite simple groups (an outline)

Abstract:

Most mathematicians are aware that the classification of

the finite simple groups involved hundreds of researchers

and thousands of journal pages.

In 1983, Daniel Gorenstein published the first volume

of a general outline of this massive work---covering the

``non-characteristic 2 type'' case (correspondingly

roughly to simple matrix groups over fields of odd order).

But he could not publish the projected second and final volume,

on the characteristic 2 type case---due to the non-publication

of Mason's expected work on "quasithin groups". That gap was not

filled until the 2004 publication by Aschbacher and Smith

of a more general quasithin treatment.

This finally left the way open for the second volume of the overall

outline of the CFSG---a first draft of this outline has now been completed

by Aschbacher, Lyons, Solomon, and Smith.

The talk will be an elementary exposition of some of the

ideas in this overall outline; including mention of certain

of the new ideas and approaches which have arisen since the 1980s.

There will be coffee and cookies in the lounge at 3:00.

Applied Analysis Seminar
Questions or comments?

Posted September 14, 2009

3:40 pm - 4:30 pm Room 233 Lockett Hall
Scott Armstrong, Department of Mathematics, Louisiana State University

Self-similar solution and long-time asymptotics for fully nonlinear parabolic equations

I will present results on the existence and uniqueness of a self-similar solution of a fully nonlinear, parabolic equation (an example of which include the Bellman-Isaacs equation arising in the theory of stochastic optimal control and stochastic differential game theory). As an application, we are able to describe the long-time behavior of solutions to the Cauchy problem, and derive a conservation law which generalizes the conservation of mass in the case of the heat equation. The scaling invariance property of the self-similar solution depends on the nonlinear operator, and is in general different from that of the heat kernel. We will see that this difference has an interesting interpretation in terms of controlled diffusion processes. This work is joint with M. Trokhimtchouk.

Probability Seminar
Questions or comments?

Posted September 14, 2009

Last modified September 23, 2009

Ambar Sengupta, Mathematics Department, LSU

Noise: from White to Free

Abstract: We will discuss results of Wigner and Voiculescu connecting

classical probability theory with the algebraic theory of free probability.

Applying these ideas to a classical matrix white noise process produces a free analog.

Posted September 22, 2009

Last modified September 23, 2009

Jacob Blanton, Mathematics Department, LSU

Max-Plus Algebra and Optimal Control Theory

A common approach to controlling nonlinear systems involves utilizing the dynamic programming principle (DPP). This approach leads to a control solution via the solution of a corresponding Hamilton-Jacobi (HJ) PDE. It has the advantage of yielding an optimal control solution as the value function of the control problem is interpreted as the viscosity solution of the associated HJ PDE. The semigroup that propagates the solutions of these PDE's is identical to the dynamic programming principle. The above will be surveyed along with an introduction to max-plus algebra in order to highlight the result that the semigroup associated with the HJ PDE's above is a max-plus linear operator.

Applied Analysis Seminar
Questions or comments?

Posted August 27, 2009

Last modified September 23, 2009

Matthew Knepley, Computation Institute, University of Chicago

Tree-based methods on GPUs

Abstract: We examine the performance of the Fast Multipole Method on heterogeneous computing devices, such as a CPU attached to an Nvidia Tesla 1060C card. The inherent bottleneck imposed by the tree structure is ameliorated by a refactoring of the algorithm which exposes the fine-grained dependency structure. Also, common reduction operations are refactored in order to maximize throughput. These optimizations are enabled by our concise yet powerful interface for tree-structured algorithms. Examples of performance are shown for problems arising from vortex methods for fluids

Faculty Meeting
Questions or comments?

Posted August 28, 2009

Last modified September 1, 2009

Meeting of the tenured and tenure-track Faculty

Promotion cases.

Posted September 8, 2009

5:00 pm James E. Keisler Lounge (room 321 Lockett)Actuarial Student Association Meeting

Electing our officers for the upcoming year. As always, we welcome new members who wish to learn about the actuarial program at LSU and/or the profession in general. We will also be organizing study groups for the actuarial exams.

Probability Seminar
Questions or comments?

Posted October 4, 2009

3:40 pm - 4:30 pm Lockett 285
Padmanabhan Sundar, Mathematics Department, LSU

On a class of stochastic partial differential equations

Posted October 2, 2009

4:30 pm Keisler Lounge, room 321, Lockett HallWeekly meeting

Math activities, discussion of upcoming movie, and pizza.

Algebra and Number Theory Seminar
Questions or comments?

Posted October 5, 2009

3:40 pm Lockett 285
Helena Verrill, Mathematics Department, LSU

Noncongruence lifts of projective congruence subgroups

Faculty Meeting
Questions or comments?

Posted October 5, 2009

3:40 pm 285 LockettBasic Sciences undergraduate breadth requirements

Posted September 30, 2009

4:30 pm - 6:00 pm Johnston Hall 338I still don't know what you did last summer!

There will be a panel with students who participated in math related activities during the Summer 2009 sharing their experiences and explain how to apply for these programs. We hope that all Chapter members and graduate students would be benefitted from their experience. There will be a pizza dinner after.

Colloquium
Questions or comments?

Posted August 11, 2009

Last modified August 12, 2009

Dmitry Ryabogin, Kent State University

On the local version of Mahler Conjecture

An abstract is available.

There will be coffee and cookies in the lounge at 3:00.

Applied Analysis Seminar
Questions or comments?

Posted September 14, 2009

3:40 pm - 4:30 pm Room 233 Lockett Hall
Christo Christov, University of Louisiana at Lafayette

Stochastic Functional Expansions for Heterogeneous Continuous Media and Chaotic Regimes of Nonlinear Dynamical Systems

Algebra and Number Theory Seminar
Questions or comments?

Posted October 5, 2009

Last modified October 13, 2009

Heather Russell, Mathematics Department, LSU

A combinatorial construction of the Springer representation

Springer varieties are studied because their cohomology carries a natural

action of the symmetric group and their top-dimensional cohomology is

irreducible. In his work on tangle invariants, Khovanov constructed a

family of Springer varieties as subvarieties of a product of spheres. We

show that these varieties can be embedded antipodally in the product of

spheres and that the natural symmetric group action on the product induces

the Springer representation. Our construction admits an elementary (and

geometrically natural) combinatorial description, which we use to prove

that the Springer representation is irreducible in each degree. This work

is joint with Julianna S. Tymoczko at The University of Iowa.

Posted October 12, 2009

3:30 pm - 4:30 pm Lockett Hall 233
Rick Barnard, LSU Department of Mathematics
Advanced graduate student.

The Minimal Time Function and Stratified Domains

In this talk, we introduce the minimal time problem over a stratified domain. In such a problem, dynamical systems are regular only when restricted to a prescribed set of submanifolds. We show that the minimal time function satisfies an appropriate Hamilton-Jacobi equation.

Combinatorics Seminar
Questions or comments?

Posted October 13, 2009

4:40 pm - 5:30 pm Lockett Hall 285
Xiangqian Zhou

On minimally k-connected matroids

Applied Analysis Seminar
Questions or comments?

Posted September 20, 2009

Last modified September 22, 2009

Truyen Nguyen, University of Akron

Hamilton--Jacobi equation in the space of measures associated with a system of conservation laws

Abstract. We introduce a class of action functional defined over the set of continuous paths in the Wasserstein space of probability measures on $R^d$. We show that minimizing path for such action exists and satisfies compressible Euler equation in a weak sense. Moreover, we prove that both Cauchy and resolvent formulations of the associated Hamilton-Jacobi equations are well--posed and their unique viscositysolutions are given by the dynamic programming principle. The characteristics of these Hamilton--Jacobi equations in the space of probability measures are solutions of the compressible Euler equation in $R^d$. This is joint work with Jin Feng of the University of Kansas.

Posted October 19, 2009

4:30 pm Keisler Lounge, Lockett Hall 321Introduction to Number Theory

Clueless about what number theory is and how it relates to your everyday life? Come and find out!

Computational Mathematics Seminar

Posted September 8, 2009

Last modified October 15, 2009

Eun-Hee Park, Louisiana State University

A Domain Decomposition Method Based On Augmented Lagrangian With A Penalty Term

Algebra and Number Theory Seminar
Questions or comments?

Posted October 7, 2009

Last modified October 20, 2009

Christopher Bremer, Mathematics Department, LSU

Moduli for connections of cuspidal type

In my last talk, I described the Riemann-Hilbert correspondence for irregular singular point connections. Although this theory dates back to the work of Malgrange and Sibuya in the 70s, the Riemann-Hilbert map itself was not well understood until recently. In the past decade, Boalch has shown that the Riemann-Hilbert map gives a symplectic isomorphism between a coarse moduli space of connections, and a Poisson Lie group of `Stokes multipliers.' The theory of fundamental strata is a combinatorial tool for describing connections of cuspidal type. Recent work (joint with D S Sage) has shown that the fundamental stratum of a connection can be used to generalize Boalch's work. I will describe our preliminary results, and give some indication of how strata characterize the irregular Riemann-Hilbert map in the cuspidal case.

Faculty Meeting
Questions or comments?

Posted September 30, 2009

Last modified October 20, 2009

Faculty meeting with Dean Kevin Carman

This meeting is arranged by the IRC

Student Colloquium

Posted September 17, 2009

3:40 pm - 4:30 pm Lockett 285
Virginia Naibo, Department of Mathematics, Kansas State University

Decay properties of wave functions associated to atomic particles.

There will be refreshments in the Keisler Lounge from 3:00pm - 3:30pm. Abstract: This talk is designed for advanced undergraduate and graduate students. Mathematical models describing the motion of an object falling in the atmosphere or the vibration of an elastic string can be obtained using Newton's second law of motion. This law fails at the level of atoms and their constituents and it is quantum mechanics that provides a new set of laws and a mode of description for microscopic systems. The counterpart of Newton's second law in the microscopic world is the Schrodinger equation. We will go over simple models of this equation and discuss the idea of dispersive estimates for their solutions.

Student Colloquium

Posted September 17, 2009

Last modified October 19, 2009

Virginia Naibo, Department of Mathematics, Kansas State University

Cool applications of matrix theory

There will be a light lunch offered from 12:00 to 12:30 pm in the Keisler Lounge preceding the talk.

Abstract: We will discuss the mathematics behind digital image compression models such as JPEG and website ranking algorithms such as Google's PageRank.

This talk will be accessible to students who have taken a course on linear algebra.

Applied Analysis Seminar
Questions or comments?

Posted September 8, 2009

Last modified October 23, 2009

Rachael Neilan, Department of Oceanography and Coastal Sciences, LSU

Optimal control in disease modeling

Optimal control theory in disease models is used to determine cost- effective disease prevention and treatment strategies. When disease dynamics are governed by ordinary differential equations, Pontryagin's Maximum Principle is used to characterize an optimal control (i.e. optimal treatment strategy). However, many disease models use partial differential equations to describe the spread of infection in space and time. No extension of Pontryagin's Maximum Principle exists for systems of PDEs, but similar techniques are employed to derive optimal spatio-temporal control characterizations. In this talk, we will provide theoretical optimal control results for a system of advection- diffusion equations describing the spread of rabies through a raccoon population. Numerical solutions will illustrate the optimal vaccine distribution on homogeneous and heterogeneous spatial domains.

Control and Optimization Seminar
Questions or comments?

Posted October 9, 2009

10:00 am 117 Electrical Engineering Building
Michael Malisoff, LSU

Constructions of Strict Lyapunov Functions: An Overview

Click here for more information.

Computational Mathematics Seminar

Posted September 8, 2009

Last modified October 15, 2009

Hongchao Zhang, Louisiana State University

An Affine-scaling Method For Nonlinear Optimization With Continuous Knapsack Constraints

Algebra and Number Theory Seminar
Questions or comments?

Posted October 5, 2009

Last modified October 26, 2009

Anthony Henderson, School of Mathematics and Statistics, University of Sydney

Enhancing the nilpotent cone

Many features of an algebraic group are controlled by the geometry of its nilpotent cone, which in the case of GL_n(C) is merely the variety N of n x n nilpotent matrices. The study of the orbits of the group in its nilpotent cone leads to combinatorial data relating to the representations of the Weyl group, via the famous Springer correspondence. In the case of GL_n(C), the basic manifestation of this correspondence is the fact that conjugacy classes of nilpotent matrices and irreducible representations of the symmetric group are both parametrized by partitions of n.

Pramod Achar and I have shown that studying the orbits of GL_n(C) in the enhanced

nilpotent cone C^n x N leads to exotic combinatorial data of type B/C (previously studied by Spaltenstein and Shoji). As I will explain, this is closely related to Syu Kato's exotic Springer correspondence for the symplectic group, and also to nilpotent orbits in characteristic 2.

Posted October 9, 2009

5:00 pm James E. Keisler Lounge (room 321 Lockett)Actuarial Student Association Meeting

We will have 1. A visitor from Career Services will give a presentation and answer questions on internships and jobs. 2. A discussion of exams and study groups 3. the selection of officers

CCT Lecture
Events organized by the LSU Center for Computation and Technology

Posted October 22, 2009

1:00 pm 338 Johnston HallCCT Colloquim Series

Presented by: Arun Bansil, Northeastern University "Modeling Highly Resolved Spectroscopies of Complex Materials: from Qualitative to Quantitative" For more information please see cct events. http://www.cct.lsu.edu/events/events.php

Posted October 27, 2009

1:00 pm 301D LockettFinal Event of the Nonthesis MS Comprehensive Examination

Graduate students who have signed up earlier this semester for the final event of MS Comprehensive Exam to qualify for an MS degree this May will meet with Profs. Perlis, Cohen, and Richardson at 1 PM.

Posted October 21, 2009

Last modified October 22, 2009

Sean Farley, Department of Mathematics, LSU
Graduate Student

An Introduction to TikZ: Integrating Graphics within LaTeX

While LaTeX is quite useful for typesetting math, it can be quite the pain for incorporating graphics. Which format do you save your image as? PDF? EPS? JPG? I will introduce a powerful package called TikZ that will enable you to seamlessly integrate graphics into your document. I will present examples in finite elements, beamer, and gnuplot.

Applied Analysis Seminar
Questions or comments?

Posted September 30, 2009

Last modified October 23, 2009

Scott McKinley, Department of Mathematics, Duke University

Anomalous Diffusion of Distinguished Particles in Bead-Spring Networks. (This is a joint Applied Analyisis & Probability Seminar)

Abstract: Due to recent and compelling experimental observations using passive microrheology there is theoretical interest in anomalous sub-diffusion -- stochastic processes whose long-term mean-squared displacement satisfies $E{x2(t)} sim t^nu$ where $nu leq 1$. The canonical example of a sub-diffusive process is fractional Brownian motion, but for reasons we will discuss, this project focuses on a touchstone model from polymer kinetic theory -- the Rouse chain -- and its natural generalizations. Our interest is in studying the dynamics of a distinguished particle in a network of thermally fluctuating beads that interact with each other through linear springs. Such processes can be expressed as the sum of a Brownian motion with a large number of Ornstein-Uhlenbeck processes. We introduce a single parameter which can be tuned to produce any sub-diffusive exponent $nu in (0,1)$ for the generic sum-of-OU structure and demonstrate the relationship between this parameter and the geometric structure of the bead-spring connection network in which the distinguished particle resides. This development provides a basis to prove a conjecture from the physics community that the Rouse exponent $nu = 1/2$ is universal among a wide class of models.

LSU Student Chapter of the Association for Women in Mathematics

Posted October 25, 2009

9:30 am - 10:30 am Keisler Lounge, Lockett HallA conversation with Prof. Irina Mitrea

Prof. Irina Mitrea, from Worcester Polytechnic Institute, will be visiting LSU to give a Colloquium talk. The LSU Student Chapter of the AWM will host a meeting with her to talk about her career experience. For more information visit http://www.math.lsu.edu/awm/

Student Colloquium

Posted October 20, 2009

Last modified October 27, 2009

Charles Conley, University of North Texas

f(x)=x^{x^{x^{cdot^{cdot^{cdot}}}}}

Please note the unusual location for the talk.

Abstract: For what real number x does this function make sense? This question was first answered by Euler. Clearly f(2) is infinite, and one might guess that f(x) is infinite for all x greater than 1. In fact this is not true: both the upper and lower bound of f's domain of definition are interesting. In this talk we will deduce these bounds using nothing more advance than the chain rule. En route we will examine some well-known graph a^x and some not-so-well-known graphs a^{a^x}} closely, discovering some enjoyable surprises.

There will be a light lunch served in the Keisler Lounge from 12:00-12:30

Colloquium
Questions or comments?

Posted August 11, 2009

Last modified October 22, 2009

Irina Mitrea, Worcester Polytechnic Institute

Boundary Value Problems for Higher Order Elliptic Operators

An abstract is available.

There will be coffee and cookies in the lounge at 3:00.

Student Colloquium

Posted October 20, 2009

Last modified October 27, 2009

Charles Conley, University of North Texas

Vector Fields on the Line

Abstract: This talk will be a gentle introduction to some aspects of the theory of representations of Lie algebras by means of an example: the Lie algebra Vec(R) of vector field on the line. Since the objects involved are quite concrete, no prior knowledge of Lie algebras will be assumed: only basic calculus and linear algebra.

There will be refreshments served in the Keisler Lounge from 3:00 -3:30.

Harmonic Analysis Seminar
Abstract and additional information

Posted October 29, 2009

3:40 pm - 4:30 pm Lockett 285
Charles Conley, University of North Texas

Extremal Projectors.

Let g be a complex finite dimensional reductive Lie algebra. The extremal projector P(g) is an element of a certain formal extension of the enveloping algebra U(g) which projects representations in Category O to their highest weight vectors along their lower weight vectors, provided that the denominator of P(g) does not act by zero. (This denominator is a formal product in U(h), h being the chosen Cartan subalgebra.)

In 1971 Asherova-Smirnov-Tolstoi discovered a noncommutative finite factorization of P(g), and in 1993 Zhelobenko discovered a commutative infinite product formula. We will discuss these results and some more recent formulas for the relative projector P(g,l), the projection to the highest l-subrepresentations, l being a Levi subalgebra.

Posted October 24, 2009

3:30 pm - 4:30 pm Lockett Hall 233
Santiago Fortes, Department of Mathematics, LSU

Subwavelength Plasmonic Crystals: Dispersion Relations and Effective Properties

: The possibility of engineering composite materials with unusual electromagnetic properties (a.k.a. metamaterials) has generated much interest lately. Devices such as invisibility cloaks and superlenses could, in principle, be constructed using such materials. One of the central ideas in the study of metamaterials is that radiation with wavelengths much larger than the inhomogeneities of the material cannot detect internal structure, so that the concepts of effective dielectric permittivity and effective magnetic permeability are valid. I will present a method for obtaining convergent power series representations for the fields and associated dispersion relations of electromagnetic waves propagating in a species of metamaterial known as plasmonic crystal.

Posted November 3, 2009

9:15 am - 10:15 am Johnston Hall 331
Fadil Santosa, Director, Institute for Mathematics and its Applications and School of Mathematics, University of Minnesota

Breakfast and Discussion

LSU SIAM Student Chapter presents a conversation with Prof. Fadil Santosa, the director of IMA (Institute for Mathematics and Applications). Breakfast will be served. It will be an informal meeting with him to talk about his career experience. This meeting is open to everyone.

Applied Analysis Seminar
Questions or comments?

Posted September 14, 2009

Last modified October 21, 2009

Fadil Santosa, Director, Institute for Mathematics and its Applications and School of Mathematics, University of Minnesota

The mathematics of progressive lens design

Abstract: Progressive addition lenses are prescribed to patients who need correction for both far and near visions. A progressive lens needs to have power that gradually changes from the far vision zone, used for example in driving, and the near vision zone, used for example in reading a map. The basics of optics and lens design will be described. In particular, it will be shown that the problem can be reduced to one of surface design. The surface design problem itself is solved by a variational approach, which can be further simplified by linearization, leading to a fourth order elliptic partial differential equations. Analysis of the resulting equations and development of a computational method are described. Numerical results are presented to illustrate the process of lens design.

Algebra and Number Theory Seminar
Questions or comments?

Posted October 7, 2009

Last modified November 4, 2009

Jerome W. Hoffman, Mathematics Department, LSU

L-functions and l-adic representations for modular forms

Algebra and Number Theory Seminar
Questions or comments?

Posted November 4, 2009

Last modified November 11, 2009

Moon Duchin, University of Michigan

Limit shapes in groups

Consider larger and larger metric spheres in a group. Under nice circumstances, these converge to a definite "limit shape" as the radius goes to infinity. For instance in finitely generated nilpotent groups one may use a rescaling dilation in the ambient Lie group to shrink down large spheres, and by work of Pansu (extended by Breuillard) this gives a well-defined limit. For a simple example, in the free abelian group Z^2, if we take the standard generating set, the limit shape is a diamond (and the limiting metric, for which this is the unit sphere, is the L^1 metric on the plane). It is natural to ask whether the counting measure on the discrete spheres converges to a measure on the limit shape. I'll discuss our work on this question, and give some ergodic applications and some averaging applications for limit shapes.

Parts of this project are joint work with Samuel Lelièvre, Christopher Mooney, and Ralf Spatzier.

Combinatorics Seminar
Questions or comments?

Posted November 13, 2009

4:40 pm - 5:30 pm 285 Lockett Hall
Natalie Hine, LSU Mathematics
Graduate Student

Infinite Antichains of Matroids

Abstract: In this talk, I will assume no prior knowledge of matroid theory, so I will begin by defining a matroid and giving some basic examples. Then, I will explain the differences between graphs and matroids with respect to infinite antichains under the minor ordering. Lastly, I will discuss when a minor-closed class of matroids with a single excluded minor does not contain an infinite antichain.

Applied Analysis Seminar
Questions or comments?

Posted September 30, 2009

Last modified November 10, 2009

Xiaoliang Wan, Louisiana State University

A note on stochastic elliptic models

In this talk we will look at two strategies that introduce randomness into elliptic models. One is to treat the coefficient as an spatial random process, which results in an stochastic elliptic model widely used in engineering applications; the other one is to define the stochastic integral using Wick product, which can be regarded as a generalization of Ito integral. The statistics given by these two strategies can be dramatically different. I will compare these two strategies using a one-dimensional problem and present a new stochastic elliptic model to makes them more comparable. Numerical methods will also be discussed.

Posted November 11, 2009

4:40 pmGroups and Graph Theory

Jesse Taylor will discuss Group Theory. He'll be giving a few basic definitions and defining a few key concepts related to Group and Graph Theory.

Algebra and Number Theory Seminar
Questions or comments?

Posted October 5, 2009

Last modified November 12, 2009

Jorge Morales, Mathematics Department, LSU

Siegel's mass formula and averages of L-functions over function fields

Faculty Meeting
Questions or comments?

Posted October 20, 2009

Last modified November 9, 2009

Departmental Priorities, Teaching and the Budget

Posted November 13, 2009

6:00 pm Design Building 103MOVIE: Fermat's Room

Showing of the movie "Fermat's Room", in collaboration with the LSU Spanish Club. From the President: "We will watch the movie Fermat's Room at 103 Design Bldg at 6:01pm on 11/19/2009. Entertainment will happen. Approximately 90 minutes later, the movie will end and we will all return to our normal lives as though nothing had happened, yet forever remembering the magic that happened on that fateful November night.."

Posted November 13, 2009

3:30 pm - 4:30 pm Lockett Hall 233
Lee Windsperger, Department of Mathematics, LSU

The Asymptotic Laplace Transform

The asymptotic Laplace transform is a generalization of the classical Laplace transform. Whereas the classical Laplace transform is an analytic tool to solve well-posed problems, the asymptotic Laplace transform is an analytic tool to solve ill-posed problems. This talk will introduce the definition, properties, and advantages of the asymptotic Laplace transform through two elementary partial differential equations.

Harmonic Analysis Seminar
Abstract and additional information

Posted November 13, 2009

3:40 pm - 4:30 pm Lockett 381
Boris Rubin, Lousiana State University

Radon Transforms on the Heisenberg Group and Transversal Radon Transforms.

Abstract: The notion of the Radon transform on the Heisenberg group was introduced by R. Strichartz and inspired by D. Geller and E.M. Stein. A more general transversal Radon transform integrates functions on the $m$-dimensional real Euclidean space over hyperplanes meeting the last coordinate axis. We obtain new boundedness results and explicit inversion formulas for both transforms on $L^p$ functions in the full range of the parameter $p$. We also show that these transforms are isomorphisms of the corresponding Semyanistyi-Lizorkin spaces of smooth functions. In the framework of these spaces we obtain inversion formulas, which are pointwise analogues of the corresponding formulas by R. Strichartz.

Faculty Meeting
Questions or comments?

Posted November 12, 2009

3:40 pm - 5:00 pm Lockett B 5Faculty Meeting

This meeting is arranged by the IRC

Applied Analysis Seminar
Questions or comments?

Posted November 17, 2009

3:40 pm - 4:30 pm Room 233 Lockett Hall
Santiago Fortes, Department of Mathematics, LSU

Electromagnetic wave propagation in Plasmonic Crystals

The possibility of engineering composite materials with unusual electromagnetic properties (a.k.a. metamaterials) has generated much interest lately. Devices such as invisibility cloaks and perfect lenses could, in principle, be constructed using such materials. I will present a method for obtaining convergent power series representations for the fields and associated dispersion relations of electromagnetic waves propagating in a species of metamaterial known as plasmonic crystal. The technology provided by these series lead to a rich scenario in which to explore effective properties in a mathematically rigorous setting. This has allowed us give definite answers regarding the negative index behavior of plasmonic crystals.

Algebra and Number Theory Seminar
Questions or comments?

Posted November 25, 2009

Last modified November 30, 2009

Alexander Prestel, Universitaet Konstanz

Axiomatizing the complex unit disc

The Lefshetz-Principle from algebraic geometry says that every algebraic property over the field of complex numbers involving only polynomials, is also tue over any algebraically closed field in characteristic 0. We present a similar transfer principle involving in addition the absolute value of the complex field.

Posted November 26, 2009

12:00 pm James Keisler LoungeHoliday Party

Everyone is invited to share in the Season's Spirit. Please bring a dish to share.

Posted January 2, 2010

1:00 pm - 4:00 pm 285 Lockett HallComprehensive / PhD Qualifying Exam in Algebra

This examination is required for doctoral students who have completed Math 7210 but have not yet passed the examination at the PhD level.

Posted January 2, 2010

Last modified January 11, 2010

Comprehensive / PhD Qualifying Exam in Analysis

This examination is required for doctoral students who have completed Math 7311 but have not yet passed this test at the PhD Qualifying Level.

Posted January 2, 2010

1:00 pm - 4:00 pm 285 LockettComprehensive / PhD Qualifying Exam in Topology

This examination is required for doctoral students who have completed Math 7510 but have not yet passed this test at the PhD Qualifying Level.

Colloquium
Questions or comments?

Posted January 12, 2010

Last modified January 14, 2010

Jiajun Wang, California Institue of Technology
Candidate for Assistant Professor Position in Topology

On combinatorial Floer homology

Colloquium
Questions or comments?

Posted January 7, 2010

3:40 pm - 4:30 pm 338 Johnston Hall
Jason Howell, Carnegie Mellon University
Candidate for Assistant Professor Position in Math and CCT

Dual-Mixed Finite Element Methods For Fluids

Jason Howell, Carnegie Mellon University Postdoctoral Associate In The Center For Nonlinear Analysis And The Department Of Mathematical Sciences Bio Jason Howell is a Postdoctoral Associate in the Center for Nonlinear Analysis and the Department of Mathematical Sciences at Carnegie Mellon University. He earned a PhD in Mathematical Sciences at Clemson University in 2007 with a specialty in numerical analysis and computational mathematics. During 2004-2006, he had three appointments as a summer scholar with the Center for Applied Scientific Computing at Lawrence Livermore National Laboratory. He also holds an MS in Mathematical Sciences from Clemson and a BS in Mathematics from the College of Charleston. His research interests lie at the intersection of analysis, computation, and applications, and he currently works on projects in finite element methods for fluid and solid mechanics, numerical methods for non-Newtonian fluids, and numerical methods for fluid/fluid and fluid/structure interaction problems. Abstract Accurate and efficient numerical methods to approximate fluid flows are important to researchers in many fields, including mechanical, materials, and biomedical engineering. In many applications within these fields, it is of paramount importance to accurately predict fluid stresses. However, in most existing numerical schemes for fluids, the primary unknown of interest is the fluid velocity. This motivates the development of dual-mixed finite element methods for fluids, in which the stress is a primary unknown of interest, and the study of inf-sup conditions for single and twofold saddle point problems is an important component of the construction of these methods. This study has led to results that give equivalent sets of inf-sup conditions for twofold saddle point problems, yielding new tools for proofs of well-posedness and finite element compatibility. These tools, together with a macroelement technique, show compatibility of a new dual-mixed method for fluids employing Arnold-Winther symmetric tensor finite elements for stress.

Colloquium
Questions or comments?

Posted January 7, 2010

Last modified January 12, 2010

Shawn Walker, New York University
Candidate for Assistant Professor Position in Math and CCT

Shape Optimization Of Peristaltic Pumping

Shawn W. Walker, New York University

Research Scientist, Courant Institute Of Mathematical Sciences

Bio

Shawn W. Walker is a postdoctoral researcher and instructor at New York University's Courant Institute of Mathematical Sciences. He earned his PhD in aerospace engineering and an MSc in applied mathematics and scientific computing from the University of Maryland in 2007 and also holds an MSc in engineering and applied science from Yale University and a BSc in electrical engineering from Virginia Polytechnic Institute & State University. His research interests include finite element methods and PDEs, free boundary problems, shape optimization, and fluid-structure interaction and control. http://www.cims.nyu.edu/~walker/

Abstract

Transport is a fundamental aspect of biology and peristaltic pumping is a fundamental mechanism to accomplish this; it is also important in many industrial processes. We present a variational method for optimizing peristaltic pumping in a two dimensional periodic channel with moving walls to pump fluid. No a priori assumption is made on the wall motion, except that the shape is static in a moving wave frame. Thus, we pose an infinite dimensional optimization problem and solve it with finite elements. Sensitivities of the cost and constraints are computed variationally via shape differential calculus and $L^2$-type projections are used to compute quantities such as curvature and boundary stresses. Our Optimization method falls under the category of sequential quadratic programming (SQP) methods. As a result, we find optimized shapes that are not obvious and have not been previously reported in the peristaltic pumping literature. Specifically, we see highly asymmetric wave shapes that are far from being sine waves. Many examples are shown for a range of fluxes and Reynolds numbers up to Re=500 which illustrate the capabilities of our method.

Colloquium
Questions or comments?

Posted December 24, 2009

3:40 pm - 4:30 pm Lockett 285
Jan Dijkstra, Vrije Universiteit Amsterdam

Topological Kadec norms with applications

An abstract is available.

There will be coffee and cookies in the lounge at 3:00.

Colloquium
Questions or comments?

Posted January 12, 2010

Last modified January 15, 2010

Andrew Putman, MIT
Candidate for Assistant Professor Position in Topology

The Picard Group of the Moduli Space of Curves with Level Structures

Applied Analysis Seminar
Questions or comments?

Posted January 19, 2010

3:40 pm - 4:30 pm Room 233 Lockett Hall
Anna Zemlyanova, Department of Mathematics, LSU

Method of Riemann surfaces in modelling of cavitating flow

Cavitation is the formation of a vapor filled area in the liquid which usually appears due to low pressures and high velocities. Riemann surfaces are used in fluid mechanics both for mathematical modeling of the cavity closure and for solution of the resulting mathematical problems. In this talk I will discuss most commonly used cavity closure models and present a detailed solution to the problem of a supercavitating wedge in a jet or under a free surface using Tulin's single- or double-spiral-vortex cavity closure model. The solution involves the application of Riemann-Hilbert problems on the elliptic Riemann surface. The numerical results will be presented.

Colloquium
Questions or comments?

Posted January 14, 2010

Last modified January 26, 2010

Richard Kent, Brown University
Candidate for Assistant Professor Position in Topology

Analytic functions from hyperbolic manifolds

There will be coffee and cookies in the lounge at 3:00.

Colloquium
Questions or comments?

Posted January 7, 2010

Last modified January 17, 2010

Michael Farber, University of Durham

Stochastic algebraic topology and robotics

Abstract: I will describe solutions to several problems of mixed

probabilistic-topological nature which are inspired by applications in

topological robotics. These problems deal with systems depending on a

large number of random parameters, nto infty. Our results predict

the values of various topological characteristics of configuration

spaces of such systems.

There will be coffee and cookies in the lounge at 3:00.

Faculty Meeting
Questions or comments?

Posted January 21, 2010

Last modified January 24, 2010

Meeting of the faculty

Department priorities/budget scenarios.

Colloquium
Questions or comments?

Posted January 12, 2010

Last modified January 14, 2010

Mark Colarusso, University of Notre Dame
Candidate for Assistant Professor Position in Lie Theory

THE GELFAND-ZEITLIN INTEGRABLE SYSTEM ON g[(n, C)

Colloquium
Questions or comments?

Posted August 11, 2009

Last modified January 25, 2010

Frank Sottile, Texas A&M

Orbitopes

Abstract:

An orbitope is the convex hull of an orbit of a compact

group acting linearly on a vector space. Instances of these

highly symmetric convex bodies have appeared in many areas

of mathematics and its applications, including protein

reconstruction, symplectic geometry, and calibrations in

differential geometry.

In this talk, I will discuss Orbitopes from the perspectives

of classical convexity, algebraic geometry, and optimization

with an emphasis on ten motivating problems and concrete examples.

This is joint work with Raman Sanyal and Bernd Sturmfels.

There will be coffee and cookies in the lounge at 3:00.

Colloquium
Questions or comments?

Posted January 14, 2010

3:40 pm - 4:30 pm Lockett 285
Richard Oberlin, UCLA
Candidate for Assistant Professor Position in Analysis

A variation-norm Carleson Theorem

Combinatorics Seminar
Questions or comments?

Posted January 28, 2010

4:40 pm - 5:30 pm 235 Lockett Hall
Carolyn Chun, Victoria University in Wellington, New Zealand
Former LSU graduate student

Matroid Fragility

Dinner will follow the talk, and will be held at Rama's Restaurant, commencing at 6pm.

Applied Analysis Seminar
Questions or comments?

Posted January 21, 2010

Last modified January 29, 2010

Phuc Nguyen, Department of Mathematics, Louisiana State University

Capacitary inequalities and quasilinear Riccati type equations with critical or super-critical growth

An abstract is available.

Colloquium
Questions or comments?

Posted January 13, 2010

Last modified January 25, 2010

Karl Schwede, University of Michigan
Candidate for Assistant Professor Position in algebraic geometry

Singularities of polynomials in characteristic 0 and characteristic p

Colloquium
Questions or comments?

Posted January 7, 2010

Last modified January 28, 2010

Xuemin Tu
Candidate for Assistant Professor Position in Math and CCT

Inexact Balancing Domain Decomposition By Constraints Algorithms

Abstract and Bio available at www.cct.lsu.edu

Posted January 28, 2010

8:30 am Keisler Lounge, Lockett Hall 321.
Max Gunzburger, Florida State University

Conversation and Breakfast

Prof. Max Gunzburger from Florida State University is visiting LSU. The SIAM Student Chapter presents an informal conversation with him to talk about his career experiences. Breakfast will be served.

This meeting is open to everyone.

Frontiers of Scientific Computing Lecture Series

Posted November 7, 2009

Last modified January 31, 2010

Max Gunzburger, Florida State University

Color Printers, Mailboxes, Fish, And Homer Simpson Or Centroidal Voronoi Tesselations: Algorithms And Applications

Refreshments at 3pm. Additional details at: http://www.cct.lsu.edu/events/talks/503

Posted February 2, 2010

5:00 pm Keisler Lounge, Lockett Hall 321
Leah Childers, LSU

Introduction to the mapping class group

We will look at an interesting group associated to surfaces called the mapping class group. Mapping class groups arise in the study of many areas of mathematics including: geometric group theory, low dimensional topology and algebraic geometry. We will explore basic elements of this group as well as some of the relations. No background in topology will be assumed.

Posted November 9, 2009

1:00 pm - 5:00 pm Saturday, February 6, 2010 Louisiana State University
Max Gunzburger, Florida State University

Mac Hyman, Tulane University

Robert Krasny, University of Michigan

SCALA 2010 - Scientific Computing Around Louisiana

The LSU Center for Computation and Technology (CCT) and Tulane University's Center for Computational Science will co-sponsor an inaugural meeting to:

(1) highlight cutting-edge topics in scientific computing,

(2) showcase the research at Louisiana institutions and,

(3) promote collaborations across the state of Louisiana.

This meeting is open to any faculty, post-doctoral researchers or students from any college in and around Louisiana.

Fore more details, please view the official announcement: www.cct.lsu.edu/scala2010

Colloquium
Questions or comments?

Posted January 15, 2010

Last modified January 28, 2010

Juhi Jang, New York University
Candidate for Assistant Professor Position in PDEs/applied math

Vacuum in Gas and Fluid dynamics

Colloquium
Questions or comments?

Posted January 7, 2010

Last modified January 28, 2010

Yingda Cheng
Candidate for Assistant Professor Position with Math and CCT

Discontinuous Galerkin Finite Element Methods And Applications To Boltzmann-Poisson Models In Semiconductor Device Simulation

Abstract and Bio at www.cct.lsu.edu

Student Colloquium

Posted December 15, 2009

Last modified January 29, 2010

John Oprea, Cleveland State University

Mathematics and Soap Films

Why do one-celled creatures take the shapes they do? Why do red-blood cells

have their characteristic shape? More and more, in biology as well as other

sciences, the notion of "shape" is becoming important. Mathematicians have ways

of measuring shape and of determining shape through optimization. This fits

well with Nature's penchant for economy, so it isn't surprising (in retrospect)

that soap films, which arise from surface tension's ability to shrink surface

area, are a kind of analog computer for the mathematics of minimizing surface

area. This talk will consist of three parts: soap film demonstrations (which

will set the stage for); a bit of mathematics and; computer experimentation and

illustration. Since audience participation is required for soap film

experiments, attendees are encouraged not to wear their best attire!

Colloquium
Questions or comments?

Posted January 15, 2010

Last modified February 4, 2010

Leonardo Mihalcea, Baylor University
Candidate for Assistant Professor Position in Algebraic Geometry

Quantum K-Theory of Grassmannians and the Geometry of Spaces of Curves

Student Colloquium

Posted December 15, 2009

Last modified January 29, 2010

John Oprea, Cleveland State University

Variational Principles and Real-World Shapes: Balloons and Droplets in Space

When we look at Nature, we see shapes everywhere. In this talk, we will

describe the shape of a Mylar balloon in terms of a variational principle and

see how this can be understood in terms of the physical characteristics of

balloons. (A Mylar balloon is often found at kids' birthday parties and is

formed by taking two disks of Mylar, sewing them together along their

boundaries and inflating.) This topic is a prime example of the interplay among

physical principles, geometry, analysis and symbolic computation. We will also

discuss the principles determining the shapes arising in water-bubble

experiments aboard the International Space Station.

Posted February 10, 2010

5:00 pm Keisler Lounge, Lockett Hall 321Pizza and organization of future meetings ...

... with the new president, Tommy Naugle.

Colloquium
Questions or comments?

Posted February 1, 2010

Last modified February 4, 2010

John Oprea, Cleveland State University

Gottlieb Groups, LS Category and Geometry

Abstract: Gottlieb groups are special subgroups of the homotopy groups which

arise in many homotopical contexts. LS category is a numerical homotopy

invariant that was originally invented to give a bound on the number of

critical points of smooth functions. Strangely enough, these two things are

related, and --- what's more --- they are related via analogues of geometric

theorems. This talk will recall basic notions of algebraic topology,

introduce Gottlieb groups, LS category and their relationships and see how

geometry fits into the mix.

There will be coffee and cookies in the lounge at 3:00.

Computational Mathematics Seminar

Posted February 10, 2010

Last modified February 17, 2010

Joscha Gedicke, Humboldt University of Berlin

Optimal Convergence of the Adaptive Finite Element Method

Additional information at

http://www.cct.lsu.edu/events/talks/507

Colloquium
Questions or comments?

Posted January 7, 2010

Last modified February 12, 2010

Bojko Bakalov, North Carolina State University

Singularities, root systems, and W algebras

Abstract:

Gromov-Witten invariants are naturally organized in a generating function,

which is a formal power series in infinitely many variables. In many cases

this function is a highest-weight vector for a certain

infinite-dimensional algebra and at the same time is a solution of an

integrable hierarchy of partial differential equations. Similar generating

functions can be introduced for the Frobenius structures coming from

singularities of hypersurfaces. We will start by reviewing the marvelous

relations among singularities, root systems and reflection groups. The

generating function of a simple singularity was shown recently to be a

solution of the Kac-Wakimoto hierarchy. Our main result is that it is also

a highest weight vector for the corresponding W algebra.

There will be coffee and cookies in the lounge at 3:00.

Combinatorics Seminar
Questions or comments?

Posted February 19, 2010

3:40 pm - 4:30 pm 285 Lockett Hall
Stan Dziobiak, Department of Mathematics, LSU
Graduate Student

An excluded-minor characterization of apex-outerplanar graphs

It is well known that the class of outerplanar graphs is minor-closed and can be characterized by two excluded minors: K_4 and K_{2,3}. The class of graphs that contain a vertex whose removal leaves an outerplanar graph is also minor-closed. We will present the complete list of excluded minors for this class and outline the major steps of the proof.

Colloquium
Questions or comments?

Posted February 9, 2010

3:40 pm - 4:30 pm Lockett 285
Scott Armstrong, Department of Mathematics, Louisiana State University

The infinity Laplace equation, tug-of-war games, and minimizing Lipschitz extensions

Abstract: Given a nice bounded domain, and a Lipschitz function defined on

its boundary, consider the problem of finding an extension of this

function to the closure of the domain which has minimal Lipschitz

constant. This is the archetypal problem of the calculus of variations

in $L^\infty$. There can be many such minimal Lipschitz extensions,

but there is there is a unique minimizer once we properly "localize"

this Lipschitz minimizing property. The uniquely specified function is

a solution of the infinity Laplace equation: the Euler-Lagrange

equation for our optimization problem. This PDE is a highly degenerate

nonlinear elliptic equation which does not have smooth solutions. In

this talk we will discuss what we know about the infinity Laplace

equation, what the important open questions are, and some recent

developments. We will even play a two-player random-turn game called

"tug-of-war". One advantage of our topic is that it is completely

accessible to graduate students and even perhaps some undergraduates.

There will be coffee and cookies in the lounge at 3:00.

Applied Analysis Seminar
Questions or comments?

Posted January 25, 2010

Last modified February 27, 2010

Alexander Barnett, Department of Mathematics, Dartmouth College

Robust and accurate computation of photonic crystal band structure using a new integral equation representation of quasi-periodic fields

Host: Stephen Shipman

Photonic crystals are dielectric structures with periodicity on the scale of the wavelength of light. They have a rapidly growing range of applications to signal processing, sensing, negative-index materials, and the exciting possibility of integrated optical computing. Calculating their `band structure' (propagating Bloch waves) is an elliptic PDE eigenvalue problem with (quasi-)periodic boundary conditions on the unit cell, i.e. eigenmodes on a torus. Since the material is piecewise homogeneous, boundary integral equations (BIE) are natural for high-accuracy solution.

In such geometries BIEs are usually periodized by replacement of the free space Greens function kernel by its quasi-periodic cousin. We show why this approach fails near the (spurious) resonances of the empty torus. We introduce a new approach which cures this problem: imposing the boundary conditions on the unit-cell walls using layer potentials, and a finite number of neighboring images, resulting in a second-kind integral equation with smooth data. This couples to existing BIE tools (including high-order quadratures and Fast Multipole acceleration) in a natural way, allowing accuracies near machine precision. We also discuss inclusions which intersect the unit cell walls, and how we use a small number of evaluations to interpolate over the Brillouin zone to spectral accuracy. Joint work with Leslie Greengard (NYU).

Computational Mathematics Seminar

Posted February 26, 2010

Last modified March 1, 2010

Jean-Marie Mirebeau, Laboratoire Jacques Louis Lions, Universite Pierre et Marie Curie

Optimally Adapted Finite Element Meshes

Abstract: Given a function f defined on a bounded domain and a number n>0, we study the properties of the triangulation Tn that minimizes the distance between f and its interpolation on the associated finite element space, over all triangulations of at most n elements. The error is studied in the Lp norm or W1p norm and we consider Lagrange finite elements of arbitrary polynomial order. We establish sharp asymptotic error estimates as n tends to infinity when the optimal anisotropic triangulation is used, and we illustrate these results with numerical experiments.

Combinatorics Seminar
Questions or comments?

Posted March 3, 2010

3:40 pm - 4:30 pm 285 Lockett Hall
Lisa Warshauer, LSU Mathematics
Graduate student

Graphs that are Almost Series-Parallel

Abstract: Consider the class of graphs G with the property that one can add an edge e and contract it out to obtain a series-parallel graph. This class of graphs is closed under taking minors. We give an excluded-minor characterization for the class.

Applied Analysis Seminar
Questions or comments?

Posted January 18, 2010

Last modified February 10, 2010

Diego Maldonado, Kansas State University

Bilinear pseudo-differential operators: motivations and recent developments

Abstract: During the 70's, driven by some problems posed by A. Calderon, R. Coifman and Y. Meyer pioneered a theory of bilinear pseudo-differential operators. These operators later found further applications in topics of analysis and PDEs such as compensated compactness, regularity of solutions to PDEs, boundedness properties of commutators, bilinear singular integrals, and paraproducts, and pointwise multipliers for functional spaces. Departing from the definition of the Fourier transform, in this talk we will tour the theory of bilinear pseudo-differential operators and some of its applications to finally arrive at the latest results and some open problems.

Algebra and Number Theory Seminar
Questions or comments?

Posted February 25, 2010

3:40 pm - 4:30 pm Lockett 285
David Gepner, University of Illinois at Chicago

K-theory and additive functors

Posted March 3, 2010

Last modified March 6, 2010

Santiago Fortes, Department of Mathematics, LSU

Power Series Expansions for Waves in High-contrast Plasmonic Crystals (Dissertation Title)

ABSTRACT: the possibility of engineering composite materials with localized
internal resonances has generated much interest lately. In such materials, an
incoming electromagnetic field can become amplified by several orders of
magnitude. Numerical simulations indicate that a composite material known as
plasmonic crystal exhibits such resonances. I will present a method for
obtaining convergent power series representations for the fields and the first
branch of the associated dispersion relations of electromagnetic waves in
plasmonic crystals. The existence of these convergent series representations
precludes the possibility of internal resonances in the first branch of the
dispersion relation.

Light Refreshments will be served at the Keisler lounge at 1:30pm.

Harmonic Analysis Seminar
Abstract and additional information

Posted March 4, 2010

1:40 pm - 2:30 pm Lockett 381
Karl Heinrich Hofmann, Darmstadt University, Germany
Professor Emeritus

The probability that two elements commute in a compact group

The FC-center of a group $G$ is the characteristic subgroup $F$ of all elements those conjugacy class is finite. If $G=F$, then $G$ is called an FC-group. We show that a compact group $G$ is an FC-group if and only if its center $Z(G)$ is open (that is, $G$ is center by finite) if and only if its commutator subgroup is finite (that is, $G$ is finite by commutative).Now let $G$ be a compact group and let $p$ denote the Haar measure of the set of all pairs $(x,y)$ in $G\times G$ for which $[x,y]=1$; this is the probability that two randomly picked elements commute. We prove that $p>0$ if and only if the FC-center $F$ of $G$ is open and so has finite index. If these conditions aresatisfied, then $Z(F)$ is a characteristic normal abelian open subgroup of $G$ and $G$ is abelian by finite.

Colloquium
Questions or comments?

Posted March 3, 2010

Last modified March 9, 2010

Gisele Goldstein, University of Memphis

Derivation and Interpretation of Dynamic Boundary Conditions for the Heat and Wave Equations

There is an abstract available.

There will be coffee and cookies in Prescott 205 at 2:00.

VIGRE@LSU
Questions or comments?

Posted March 1, 2010

Last modified March 4, 2010

Meeting with Graduate Students

Topics of Discussion

1.) Departmental changes in TA duties.

2.) The different programs and traineeships that are available. We will also have some of our current trainees discuss their experience with the program.

Colloquium
Questions or comments?

Posted March 3, 2010

Last modified March 5, 2010

Jerome Goldstein, University of Memphis

Instantaneous blowup and related nonexistence issues

An abstract is available.

There will be coffee and cookies in the lounge at 3:00.

Posted February 24, 2010

3:40 pm - 4:30 pm Lockett 285
Mark Watkins, University of Sydney

A quick tour of Magma features

Abstract:

We give a quick tour of some features of the Magma computer algebra system.

These will include: modular forms, algebraic geometry (sheaf cohomology and

Groebner bases), computing with L-functions, machinery for function fields,

lattices, and some group/representation theory. No experience with Magma

will be assumed.

There will be coffee and cookies in the lounge at 3:00.

Algebra and Number Theory Seminar
Questions or comments?

Posted February 25, 2010

Last modified March 11, 2010

Mark Watkins, University of Sydney

A polynomial version of Hall's conjecture

Hall's conjecture asks for small nonzero values of |x^3-y^2| for integers

x,y. The polynomial analogue is to ask for f(t)^3-g(t)^2 to be of small degree

(compared to that of f,g, which we take to be in \bar Q[t]). The ABC theorem

(of Davenport and Mason) gives an explicit lower bound here. Via the use of

Belyi functions and covers of P^1 (or work of Stothers), we can count the

number of (f,g) that meet this minimal degree, and this turns out to be

related to the Catalan numbers.

This leaves the question of actually exhibiting (f,g) that minimise the

degree. For instance, if there are 14 solutions, we might expect them all

to be Galois conjugate in a number field of degree 14. In joint work with

Noam Elkies, we explicitly construct solutions for many cases, using a

battery of techniques, the most notable of which is multi-dimensional p-adic

Newton iteration to solve polynomial system of equations (or at least find

isolated points on the solution variety). The fields of definition of these

solutions are ramified only at small primes, due to a theorem of Beckmann.

Posted March 14, 2010

1:30 pm Keisler Lounge, Lockett Hall 321PI DAY

Combinatorics Seminar
Questions or comments?

Posted March 15, 2010

3:40 pm - 4:30 pm 285 Lockett Hall
Tanya Lueder, LSU Mathematics
Graduate Student

A Characterization of Near Outer-Planar Graphs

A graph containing an edge whose removal results in an outer-planar graph is a near outer-planar graph. We present partial results towards the larger goal of describing the class of all such graphs in terms of a finite list of excluded graphs. Specifically, we give a description of those members of this list that are not 2-connected and do not contain a subdivision of a three-spoke wheel.

Geometry and Topology Seminar
Seminar website

Posted March 11, 2010

Last modified March 22, 2010

Gregor Masbaum, University Paris 7

The Arf-invariant formula for graphs on surfaces

Abstract:

Kasteleyn showed how to count dimer coverings (= perfect matchings) on

a planar bipartite graph by evaluating the determinant of a certain

matrix. The method works for non-bipartite graphs as well, upon

replacing the determinant with a Pfaffian. If the graph is not planar,

but embedded in a surface of genus g, Kasteleyn stated and

Gallucio-Loebl proved a formula expressing the number of dimer

coverings as a linear combination of 4^g Pfaffians. The main aim of

the talk is to explain a new proof of this formula based on the theory

of Arf invariants of quadratic forms on the mod 2 homology of the

surface. I will then discuss the question of whether the minimal

number of Pfaffians nedded to count dimer coverings is always a power

of 4. If time remains, I will explain a recent result of Loebl and

myself which