Equivariant K-theory on flag varieties of semisimple Lie groups

Zhaoting Wei (Texas A&M-Commerce)

14-Sep-2022, 19:00-20:00 (18 months ago)

Abstract: Let G be a real semisimple Lie group and X be the flag variety of the complexification of G. Kashiwara proposed that there is a deep connection between G-equivariant sheaves on X and the representations of G, which plays the central role in geometric representation theory. In this talk I will discuss a K-theoretic analogue of G-equivariant sheaves, namely G-equivariant K-theory on X. I will talk about attempts to compute such K-theory and its relation with the representation theory of G. I will do some computation in special cases.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( slides | video )


Noncommutative Geometry in NYC

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