Probability Seminar
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Posted February 17, 2018

11:00 am - 12:00 pm Lockett 239
Irfan Alam, LSU

Introduction to nonstandard methods - Part 2

Abstract: I will continue the introduction to nonstandard methods started in the previous talk. The concept of saturation will be introduced before we generalize the theory to abstract nonstandard extensions (of arbitrary structures). Some applications to Topology and Functional Analysis will be described. I will end the talk with a description of proof methods used in my recent work on Gaussian measures.

Applied Analysis Seminar
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Posted January 30, 2018

Last modified February 14, 2018

TBA

Algebra and Number Theory Seminar
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Posted November 30, 2017

Last modified January 16, 2018

Peng-Jie Wong, PIMS-University of Lethbridge

Holomorphy of L-functions and distribution of primes

The analytic properties of L-functions have been one of the central topics in number theory as they have many arithmetic applications. For example, the distribution of prime numbers has a deep connection with the properties of the Riemann zeta function. In general, for any number field, there are primes and L-functions of similar nature. In this talk, we shall discuss the holomorphy of such L-functions and its applications to the distributions of the associated primes.

Topology Seminar
Seminar website

Posted January 30, 2018

Last modified February 7, 2018

Shea Vela-Vick, Louisiana State University

Knot Floer homology and fibered knots

Abstract: We prove that the knot Floer homology of a fibered knot is nontrivial in its next-to-top Alexander grading. Immediate applications include a new proof that L-space knots prime and a classification of knots 3-manifolds with rank 3 knot Floer homology. We will also discuss a numerical refinement of the Ozsvath-Szabo contact invariant. This is joint work with John Baldwin.

Computational Mathematics Seminar

Posted January 30, 2018

Last modified February 14, 2018

Ellya Kawecki, Oxford University

A discontinuous Galerkin finite element method for Hamilton Jacobi Bellman equations on piecewise curved domains

Abstract: We introduce a discontinuous Galerkin finite element method (DGFEM) for Hamilton Jacobi Bellman equations on piecewise curved domains, and prove that the method is consistent, stable, and produces optimal convergence rates. Upon utilising a long standing result due to N. Krylov, we may characterise the Monge Ampere equation as a HJB equation; in two dimensions, this HJB equation can be characterised further as uniformly elliptic HJB equation, allowing for the application of the DGFEM.

Posted October 16, 2017

12:00 pm - 4:00 pm Saturday, February 24, 2018 Digital Media Center TheatreFinite Element Rodeo