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(5月4日)The Kazhdan-Lusztig polynomials of uniform matroids
来源: 谢彦欣   发布时间:2018/5/3   阅读次数:931
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)
 
 
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