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专题报告

 

 

报告人 Prof. Shilin YuTexas A&M University

 Families of representations of Lie groups

  2018.03.20(星期二),09:00-11:00

  点:数学院南楼N902

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.

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