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Today, Monday, October 15, 2018

Applied Analysis Seminar  Questions or comments?

Posted August 25, 2018
Last modified August 29, 2018

3:30 pm - 4:30 pm Lockett 233

Jiuyi Zhu, LSU
Nodal sets for Robin and Neumann eigenfunctions

We investigate the measure of nodal sets for Robin and Neumann eigenfunctions in the domain and on the boundary of the domain. A polynomial upper bound for the nodal sets is obtained for the Robin eigenfunctions. For the analytic domains, we show a sharp upper bound for the nodal sets on the boundary of the Robin and Neumann eigenfunctions. Furthermore, the sharp doubling inequality and vanishing order are obtained.

Wednesday, October 17, 2018

Informal Geometry and Topology Seminar  Questions or comments?

Posted August 27, 2018

1:30 pm - 3:00 pm Lockett 233

Lucas Meyers, Louisiana State University
TBA


Geometry and Topology Seminar  Seminar website

Posted August 14, 2018
Last modified September 17, 2018

3:30 pm - 4:30 pm Lockett 233

Joshua Sabloff, Haverford College
Length and Width of Lagrangian Cobordisms

Abstract: In this talk, I will discuss two measurements of Lagrangian cobordisms between Legendrian submanifolds in symplectizations: their length and their relative Gromov width. The Gromov width, in particular, is a fundamental global invariant of symplectic manifolds, and a relative version of that width helps understand the geometry of Lagrangian submanifolds of a symplectic manifold. Lower bounds on both the length and the width may be produced by explicit constructions; this talk will concentrate on upper bounds that arise from a filtered version of Legendrian contact homology, a Floer-type invariant. This is joint work with Lisa Traynor.

Monday, October 22, 2018

Algebra and Number Theory Seminar  Questions or comments?

Posted September 7, 2018
Last modified September 30, 2018

3:10 pm - 4:00 pm 232 Lockett

Armin Straub, University of South Alabama
The congruences of Fermat, Euler, Gauss and stronger versions thereof

The Gauss congruences are a natural generalization of the more familiar Fermat and Euler congruences. Interesting families of combinatorial and number theoretic sequences are known to satisfy these congruences. Though a general classification remains wide open, Minton characterized constant recursive sequences satisfying Gauss congruences. We consider the natural extension of this question to Laurent coefficients of multivariate rational functions. One of the motivations for studying Gauss congruences lies in the fact that a certain interesting class of sequences, related to Ap'ery-like constructions of linear forms in zeta values, conjecturally satisfies stronger versions of these congruences. We outline this story and indicate recent developments. The first part of this talk is based on joint work with Frits Beukers and Marc Houben, while the second part includes joint work with Dermot McCarthy and Robert Osburn.


Applied Analysis Seminar  Questions or comments?

Posted September 13, 2018

3:30 pm - 4:30 pm Lockett 233

Blaise Bourdin, Department of Mathematics, Louisiana State University
Variational phase-field models of fracture