报告题目: Associated varieties and Gelfand-Kirillov Dimensions of Highest Weight Harish-Chandra Modules
时间：11月11日 周五 下午3:00-4:00
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).