Geometric Representation Theory Seminar

Non-integral Kazhdan-Lusztig algorithm and an application to Whittaker modules

Let g be a complex semisimple finite dimensional Lie algebra, and consider a category of representations of g where a Kazhdan-Lusztig algorithm exists for integral regular infinitesimal characters. In this talk, we will discuss a potential approach for extending the integral algorithm to arbitrary non-integral regular infinitesimal characters, using intertwining functors. We will then apply this approach to Whittaker modules and demonstrate the non-integral algorithm there using an explicit example.

Qixian Zhao 

YMSC, Tsinghua University

Qixian Zhao is currently a Postdoctoral Fellow at Yau Mathematical Sciences Center at Tsinghua University. His research area is geometric representation theory. Specifically representations of real reductive groups, Whittaker modules, and related D-modules.

Personal Homepage:

https://ymsc.tsinghua.edu.cn/en/info/1035/2719.htm