Higher twisted K-theory and deformation of Verlinde algebra

Alex Fok  (Shanghai New York University)

10:00-11:00, August 25, 2020   Zoom 467 658 1686

Abstract:

The Freed-Hopkins-Teleman Theorem (FHT) is a recent celebrated result which gives a canonical link between the twisted K-theory of a compact Lie group and its Verlinde algebra, which appears in such diverse contexts as the representation theory of loop groups and the algebraic geometry of moduli spaces. In this talk, I will review FHT and discuss notions of higher twisted K-theory and deformation of Verlinde algebra which are the main ingredients in Teleman's proposal for an enhancement of FHT.

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