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唐翔--Orbit Integrals and the Connes-Kasparov Isomorphism
发布人:王智拓  发布时间:2019-01-15   浏览次数:492

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:     2019.01.21, 14:00-15:00


Location: Conference Room, 201 Ming De Building


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