The Kazhdan-Lusztig polynomials of uniform matroids

Title： The Kazhdan-Lusztig polynomials of uniform matroids

Speaker: Professor Libo Yang (Nankai University)
Time: 4:30-5:30pm, Friday May 4, 2018
Venue: Lecture Hall on fourth floor of Sir Run Run Shaw Business Building
Abstract:

In this talk I will report some progress on the Kazhdan-Lusztig polynomials and Z-polynomials of arbitrary uniform matroids.  We give an explicit formula for computing the Kazhdan-Lusztig polynomials of arbitrary uniform matroids. Based on this formula we then prove the real-rootedness of the Kazhdan-Lusztig polynomials of certain uniform matroids. We further determine the $Z$-polynomials of uniform matroids and prove the real-rootedness of the $Z$-polynomials of some uniform matroids. Our formula also enables us to give an alternative proof of Gedeon, Proudfoot and Young's formula for the Kazhdan-Lusztig polynomials of arbitrary uniform matroids.

 

This is a joint work with Alice Gao, Linyuan Lu, Matthew Xie and Philip Zhang.

联系人： 冯涛 研究员 (tfeng@zju.edu.cn)  欢迎广大师生参加！