Wednesday October 21, 4:00pm-5:10pm
Padelford
C-401
Pre-Seminar 3:00pm-3:25pm in PDL C-401
ABSTRACT
|
|---|
|
Schubert polynomials, first introduced by Lascoux and Schutzenberger, is a family of polynomials describing the Schubert classes (and thus the intersection of Schubert subvarieties) in flag varieties. They contain Schur functions (in a finite number of variables) as their special cases and thus can be seen as a kind of generalizations of Schur functions. Schur functions are known to appear as the characters of irreducible representations of $\operatorname{GL}_n$. Generalising Schur functions to Schubert polynomials, Kraskiewicz and Pragacz introduced modules over the group of upper-triangular matrices whose characters are given by Schubert polynomials. In this talk I will talk about my results on Kraskiewicz-Pragacz modules revealing some (old and new) properties of Schubert polynomials. I would also like to talk about my recent study related to this material. |
| Sara Billey, Combinatorics Seminar, Mathematics Department, University of Washington |
| Page created on August 22, 2016 at 12:52 PM | Copyright © 1998-2016, Sara C. Billey. All rights reserved. |