Geometry Seminar

Date: October 23, 2017

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Shilin Yu, TAMU

Title: Families of representations of Lie groups

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 a related semidirect product group due to Mackey, Higson and Afgoustidis. Connection with Kirillov's coadjoint orbit method will be discussed. The talk is based partially on joint projects with Qijun Tan, Yijun Yao and Conan Leung.