中科院数学与系统科学研究院
数学研究所
华罗庚数学重点实验室
华罗庚青年数学论坛
专题报告
报告人: Prof. Shilin Yu(Texas A&M University)
题 目:Families of representations of Lie groups
时 间:2018.03.20(星期二),09:00-11:00
地 点:数学院南楼N902室
Abstract :
Beilinson and Bernstein generalized the Borel-Weil-Bott theorem and showed that representations of a (noncompact) reductive Lie group G can be realized as D-modules on flag variety. In this talk, I will show that such D-modules live naturally in families, which explains a mysterious analogy between representation theory of the group G and that of its Cartan motion group, due to Mackey, Higson and Afgoustidis. The talk is based partially on the joint work with Qijun Tan and Yijun Yao.