报告题目：Gelfand-Kirillov dimensions and associated varieties of Harish-Chandra (g, K)-modules for noncompact Lie groups

报告人：白占强 武汉大学

报告时间：2017年11月14日10:30-11:30

报告地点：数学与统计学院二楼会议室

报告摘要：

In this talk, we will study the GK dimensions and associated varieties of Harish-Chandra (g, K)-modules for noncompact Lie groups.  In the first part, we recall some definitions about the GK dimension and AV. In the second part (joint work with Xun Xie), by using Lusztig’s a-function we will give a combinatorial algorithm for the GK dimensions of all irreducible highest weight sl(n)-modules. In particular, from this algorithm we can easily determine the AV of highest weight Harish-Chandra modules for SU(p, q). Finally, we will give a formula which can determine the associated varieties of highest weight Harish-Chandra modules for all types (joint work with Markus Hunziker and Roger Zierau).

报告人简介：

白占强，武汉大学副教授，博士毕业于香港科技大学，曾在中科院数学所做博士后两年。研究方向包含李群李代数和数学物理等多个方向。学术成果丰富，在国际著名杂志发表论文10多篇。