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Research Seminars: Algebra and Combinatorics


Fall 2016

Time & Location: All talks are on Thursdays in Gibson 414 at 2:00 PM unless otherwise noted.
Organizer: Tai Ha


September 8

Topic

Speaker - Institution

Abstract:  TBA


September 15

Topic

Speaker - Institution

Abstract:  TBA


September 22

Topic

Speaker - Institution

Abstract:  TBA


September 29

Infinite-Dimensional Reductive Monoids Associated to Highest Weight Representations of Kac-Moody Groups

Zhenheng Li - University of South Carolina, Aiken (Host: Mahir Can)

Abstract

We show in this talk how to construct a monoid from a highest weight representation of a Kac-Moody group over the complex numbers. The unit group of the monoid is the image of the Kac-Moody group under the representation, multiplied by the nonzero complex numbers. We then show that this monoid has similar properties to those of a J-irreducible reductive linear algebraic monoid. More specifically, the monoid is unit regular and has a Bruhat decomposition, and the idempotent lattice of the generalized Renner monoid of the Bruhat decomposition is isomorphic to the face lattice of the convex hull of the Weyl group orbit of the highest weight.


October 6

Topic

Speaker - Institution

Abstract:  TBA


October 13

Topic

Speaker - Institution

Abstract:  TBA


October 20

Topic

Arindam Banerjee - Purdue University

Abstract:  TBA


October 27

Topic

Laura Matusevich - Texas A&M

Abstract:  TBA


November 3

Topic

Speaker - Institution

Abstract:  TBA



November 10

Topic

Jonathan Montaño - UNIVERSITY OF KANSAS

Abstract:  TBA


Date

Topic

Speaker - Institution

Abstract:  TBA


Date

Topic

Speaker - Institution

Abstract:  TBA


Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu