$K$-theory seminar: Twisted $K_G(G)$ and Loop group representations

Seminar | May 3 | 11:10 a.m.-12:30 p.m. | 740 Evans Hall

 Benjamin Gammage, UC Berkeley

 Department of Mathematics

We will review the representations of loop groups and the Kac-Weyl formula for their characters. We then proceed to describe the (complex) twisted conjugation-equivariant $K$-theory of a compact (simply connected) Lie group $G$, and and relate it to the Verlinde ring.