Informal Geometry and Topology Seminar
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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

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.

Algebra and Number Theory Seminar
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Posted September 7, 2018

Last modified September 30, 2018

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
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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

Informal Geometry and Topology Seminar
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Posted August 27, 2018

1:30 pm - 3:00 pm Lockett 233
Sudipta Ghosh, Louisiana State University

TBA

Geometry and Topology Seminar
Seminar website

Posted September 14, 2018

Last modified October 1, 2018

Scott Baldridge, LSU

TBA