Quantization and representation theory II
Speaker: Prof. Shilin Yu(Texas A&M University)
Time:2018.03.20,09:00-11:00
Place: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.