Twisted K-homology and group-valued moment maps
Speaker: Eckhard Meinrenken, University of Toronto
Abstract: Let G be a compact, simple, simply connected Lie group. The Freed-Hopkins-Teleman theorem identifies the twisted equivariant K-homology of G at level k+h with the level k fusion ring R_k(G). After a review of this result, I will explain how to quantize G-valued moment maps as push-forwards in twisted K-homology. The resulting elements of R_k(G) may be computed either by localization or by a quantization commutes with reduction principle. As an application, one recovers the Verlinde formulas for the quantization of the moduli of flat G-bundles with markings.
Room Reservation Information
Room Number: 320 Whitmore Lab
Time: 11:15am - 12:30pm