关于举行新加坡国立大学朱程波教授学术报告的通知

报告题目：Fromconjugate classes of square matrices to smooth representations ofclassical

groups

报告人：朱程波 教授（新加坡国立大学）

报告时间：2016年12月12日（星期一）上午09:30-10:30

报告地点：4号楼4131室

欢迎广大师生前往！

                                                                   数学学院

                                                                2016年12月07日

报告摘要：

Fromthebeginning of representation theory near the end of the nineteenthcentury, it has been a common knowledge that conjugate classes of agroup carry critical information about

representationsof the group. For a Lie group an elaboration of this idea is calledthe orbit method, first introduced by A.A. Kirillovin the 1960’sfor nilpotent Lie groups and more

recentlyexpounded by D. Vogan for reductive Lie groups, which aims for atight link between irreducible unitary representations and coadjointorbits.

 Thistalk is about smooth representations of classical groups with asimilar message that

geometryof conjugate classes and their interrelations have importantconsequences for their representation theory. I will examine two funfacts from linear algebra (conjugacy of A with

A^t,and the relationship of AB with BA, for matrices A, B of sizes m x nand n x m) and then discuss related phenomena on branching rules andsingularitiesof infinite-dimensional

representations.