PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mathieu Stienon, Ping Xu, Nigel Higson.

Title:Twisted K-homology and group-valued moment maps
Seminar:GAP Seminar
Speaker:Eckhard Meinrenken, University of Toronto
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
Date:10 / 10 / 2008
Time:11:15am - 12:30pm