Applied Analysis Seminar
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Posted October 2, 2019

3:30 pm - 4:30 pm Lockett 233
Phuc Nguyen, Department of Mathematics, Louisiana State University

Weighted and pointwise bounds in measure datum problems with applications

Muckenhoupt-Wheeden type bounds and pointwise bounds by Wolff's potentials are obtained for gradients of solutions to a class of quasilinear elliptic equations with measure data. Such results are obtained globally over sufficiently flat domains in the sense of Reifenberg. The principal operator here is modeled after the $p$-Laplacian, where for the first time a singular case is considered. As an application, sharp existence and removable singularity results are obtained for a class of quasilinear Riccati type equations having a gradient source term with linear or super-linear power growth. This talk is based on joint work with Quoc-Hung Nguyen.

Applied Analysis Seminar
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Posted September 4, 2019

3:30 pm - 4:30 pm Lockett 233
Phuc Nguyen, Department of Mathematics, Louisiana State University

TBA

Combinatorics Seminar
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Posted October 11, 2019

3:30 pm Lockett Hall 237
Tara Fife, Louisiana State University

Laminar Matroids and their Generalizations

Abstract: I''ll begin by introducing matroids, nested matroids, and laminar matroids. One characterization of laminar matroids is that for all circuits $C_1cap C_2not=emptyset$, either $C_1$ is in the closure of $C_2$ or $C_2$ is in the closure of $C_1$. We use this characterization to define two infinite families of generalized laminar matroids and give structural results of these classes. This is joint work with James Oxley.

Computational Mathematics Seminar

Posted October 8, 2019

3:30 pm - 4:30 pm 1034 Digital Media Center
Hongchao Zhang, Louisiana State University

A Nonmonotone Smoothing Newton Algorithm for Weighted Complementarity Problem

Abstract: The weighted complementarity problem, often denoted by WCP, significantly extends the general complementarity problem and can be used for modeling a larger class of problems from science and engineering. In this talk, by introducing a one-parametric class of smoothing functions, we will introduce a smoothing Newton algorithm with nonmonotone line search to solve WCP. We will discuss the global convergence as well as local superlinear or quadratic convergence of this algorithm under assumptions weaker than assuming the nonsingularity of the Jacobian. Some promising numerical results will be also reported.

Informal Geometry and Topology Seminar
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Posted September 11, 2019

1:30 pm - 3:00 pm Lockett 233
Amit Kumar, Louisiana State University

TBD

Informal Geometry and Topology Seminar
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Posted September 11, 2019

1:30 pm - 3:00 pm Lockett 233
Rima Chatterjee, Louisiana State University

TBD

Geometry and Topology Seminar
Seminar website

Posted September 11, 2019

3:30 pm - 4:30 pm Lockett 233
Hung Cong Tran, University of Oklahoma

TBD

Algebra and Number Theory Seminar
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Posted August 19, 2019

Last modified October 5, 2019

Changningphaabi Namoijam, Texas A&M

Transcendence of Hyperderivatives of Logarithms and Quasi-logarithms of Drinfeld Modules

In 2012, Chang and Papanikolas proved the transcendence of certain logarithms and quasi-logarithms of Drinfeld Modules. We extend this result to transcendence of hyperderivatives of these logarithms and quasi-logarithms. To do this, we construct a suitable t-motive and then use Papanikolas' results on transcendence degree of the period matrix of a t-motive and dimension of its Galois group.

Colloquium
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Posted September 13, 2019

3:30 pm - 4:20 pm TBD
Marta Lewicka, University of Pittsburgh

TBD

Informal Geometry and Topology Seminar
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Posted September 11, 2019

1:30 pm - 3:00 pm Lockett 233
Nurdin Takenov, Louisiana State University

TBD

Geometry and Topology Seminar
Seminar website

Posted September 9, 2019

3:30 pm - 4:30 pm Lockett 233
Viet Dung Nguyen, Vietnam Academy of Science and Technology Institute of Mathematics

TBD

Colloquium
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Posted September 13, 2019

3:30 pm - 4:20 pm TBD
Selim Esedoglu , University of Michigan

TBD

Computational Mathematics Seminar

Posted September 9, 2019

Last modified October 13, 2019

Jose Garay, Louisiana State University

Localized Orthogonal Decomposition Method with Additive Schwarz for the Solution of Multiscale Elliptic Problems

Abstract: The solution of elliptic Partial Differential Equations (PDEs) with multiscale diffusion coefficients using regular Finite Element methods (FEM) typically requires a very fine mesh to resolve the small scales, which might be unfeasible. The use of generalized finite elements such as in the method of Localized Orthogonal Decomposition (LOD) requires a coarser mesh to obtain an approximation of the solution with similar accuracy. We present a solver for multiscale elliptic PDEs based on a variant of the LOD method. The resulting multiscale linear system is solved by using a two-level additive Schwarz preconditioner. We provide an analysis of the condition number of the preconditioned system as well as the numerical results which validate our theoretical results.

Informal Geometry and Topology Seminar
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Posted September 11, 2019

1:30 pm - 3:00 pm Lockett 233
Rob Quarles, Louisiana State University

TBD

Posted August 9, 2019

3:30 pm - 4:20 pm TBA
Dejan Slepcev, Carnegie Mellon University

TBA

Geometry and Topology Seminar
Seminar website

Posted September 16, 2019

3:30 pm - 4:30 pm Lockett 233
Jason Behrstock, CUNY Graduate Center and Lehman College

TBD

Applied Analysis Seminar
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Posted October 5, 2019

3:30 pm - 4:30 pm Lockett Room 233
Matthias Maier, Department of Mathematics Texas A&M University

TBA

Informal Geometry and Topology Seminar
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Posted September 11, 2019

1:30 pm - 3:00 pm Lockett 233
Abel Lopez, Louisiana State University

TBD

Colloquium
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Posted September 24, 2019

3:30 pm - 4:20 pm TBD
John Voight, Dartmouth College

TBD

Algebra and Number Theory Seminar
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Posted October 11, 2019

3:10 pm - 4:00 pm 285 Lockett
Ignacio Nahuel Zurrian, Universidad Nacional de Cordoba (National University of Cordoba)

TBA

Computational Mathematics Seminar

Posted September 9, 2019

Last modified October 13, 2019

Yakui Huang, Hebei University of Technology

On the Asymptotic Convergence and Acceleration of Gradient Methods

Abstract: We consider the asymptotic behavior of a family of gradient methods, which include the steepest descent and minimal gradient methods as special instances. It is proved that each method in the family will asymptotically zigzag between two directions. Asymptotic convergence results of the objective value, gradient norm, and stepsize are presented as well. To accelerate the family of gradient methods, we further exploit spectral properties of stepsizes to break the zigzagging pattern. In particular, a new stepsize is derived by imposing finite termination on minimizing two dimensional strictly convex quadratic function. It is shown that, for the general quadratic function, the proposed stepsize asymptotically converges to the reciprocal of the largest eigenvalue of the Hessian. Furthermore, based on this spectral property, we propose a periodic gradient method by incorporating the Barzilai-Borwein method. Numerical comparisons with some recent successful gradient methods show that our new method is very promising.

Informal Geometry and Topology Seminar
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Posted September 11, 2019

1:30 pm - 3:00 pm Lockett 233
John Lien, Louisiana State University

TBD

Harmonic Analysis Seminar
Abstract and additional information

Posted August 16, 2019

3:30 pm - 4:20 pm
Tao Mei, Balyor University

TBA

Colloquium
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Posted September 10, 2019

3:30 pm - 4:20 pm TBD
Leonid Berlyand, Department of Mathematics, Penn State University

TBD

Applied Analysis Seminar
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Posted September 6, 2019

3:30 pm - 4:30 pm Lockett 233
Isaac Michael, Louisiana State University

TBA

Algebra and Number Theory Seminar
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Posted October 11, 2019

3:10 pm - 4:00 pm 285 Lockett
Kent Vashaw, Louisiana State University

TBA

Colloquium
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Posted September 13, 2019

3:30 pm - 4:20 pm TBD
Eric Rowell, Texas A&M

TBD