Title: Orbit Integrals and the Connes-Kasparov Isomorphism
Speaker: Xiang Tang (唐翔)， Washington University in St. Louis
Abstract:
In the late 70s, Connes and Moscovici proved an $L^2$-index theorem for $G$-invariant elliptic-pseudodifferential operators on homogeneous spaces, and applied it to study the discrete series representations of Lie groups. In this talk, we will discuss orbit integrals, their pairing with the $K$-theory of the reduced group $C^*$-algebra of a real reductive group, and their connections to the limit discrete series representations. As an application, we will use orbit integrals to study the Connes-Kasparov isomorphism theorem. This is joint work with Nigel Higson and Yanli Song.
Time： 2019.01.20, 17：00-17：50
Location： Conference Room, 201 Ming De Building
