For more information about this meeting, contact Mathieu Stienon, Ping Xu, Nigel Higson.
| Title: | Twisted K-homology and group-valued moment maps |
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| Seminar: | GAP Seminar |
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| Speaker: | Eckhard Meinrenken, University of Toronto |
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| Abstract: |
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| 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 |
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| Date: | 10 / 10 / 2008 |
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| Time: | 11:15am - 12:30pm |
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