题目：Lusztig a-functions for quasiparabolic sets

时间地点：1月11日上午10:00--11:00，数学院425

报告人：张逸枫（华南师范大学）

邀请人：胡泓昇

摘要：Kazhdan and Lusztig introduce the W-graphs to describe the cells and molecules corresponding to the Coxeter groups. Building on

 this foundation, Lusztig defines the a-funtion to classify the cells, as well as the molecules. Marberg then generalizes Kazhdan 

and Lusztig's W-graphs, using fixed-point-free involutions as their indices. The molecules of the two new $S_n$-graphs are then 

classified via two correspondence similar to RSK correspondence by Marberg and me. In this talk, we define an analogue of the 

Lusztig a-function and finish the classification of cells by proving that every molecule in the $S_n$-graphs is indeed a cell.

报告人简介：张逸枫，博士毕业于香港科技大学，其后在南开大学组合数学中心做博士后，现为华南师范大学一类青年英才、特聘研究员。从事代数

组合学的研究，主要研究方向是Coxeter群与Iwahori-Hecke代数有关的组合问题，发表数篇论文在Journal of Algebra、European Journal of 

Combinatorics等杂志上。