Schur positivity via pattern avoidance

Seminar
Speaker
Yuval Roichman (BIU)
Date
01/11/2015 - 15:30 - 14:00Add to Calendar 2015-11-01 14:00:00 2015-11-01 15:30:00 Schur positivity via pattern avoidance Characterizing sets of permutations whose associated quasi-symmetric function is symmetric and Schur-positive is a long-standing problem in algebraic combinatorics. We will explain the significance of the problem and describe recent progress.   A general method to construct Schur-positive sets and multisets, based on pattern avoidance and geometric grids will be presented. This approach produces many new instances of Schur-positive sets, and provides a broad framework that explains the existence of known such sets that until now were sporadic cases.   Joint with Sergi Elizalde. Building 216, Room 201 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Building 216, Room 201
Abstract

Characterizing sets of permutations whose associated quasi-symmetric function is symmetric and Schur-positive is a long-standing problem in algebraic combinatorics. We will explain the significance of the problem and describe recent progress.

 

A general method to construct Schur-positive sets and multisets, based on pattern avoidance and geometric grids will be presented. This approach produces many new instances of Schur-positive sets, and provides a broad framework that explains the existence of known such sets that until now were sporadic cases.

 

Joint with Sergi Elizalde.

Last Updated Date : 04/11/2015