Speaker：Bai Zhanqiang, Wuhan
Place: Room 1208, School of Mathematical Sciences
Detail: In this talk, we will study the associated
varieties and Gelfand-Kirillov dimension of highest weight Harish-Chandra
modules for noncompact simple Lie groups. In the first part (joint work with
Markus Hunziker), we will give a uniform formula to provide the
associated varieties and GK dimensions for all unitary highest
weight Harish-Chandra modules. In the second part (joint work with Xun Xie), by
using Lusztig's a-function we will give a combinatoric algorithm for the
GK dimensions of all highest weight modules of simple Lie algebras of type A.
In particular, from this algorithm we can easily determine the associated
varieties of highest weight Harish-Chandra modules for SU(p,q).
Organizer: School of Mathematical Sciences