For more information about this meeting, contact Nigel Higson.
| Title: | Real group orbits on flag varieties and equivariant K-theory |
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| Seminar: | Noncommutative Geometry Seminar |
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| Speaker: | Zhaoting Wei, University of Pennsylvania |
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| Abstract: |
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| Let G be a real semisimple Lie group and X be the complete (complex) flag variety. I will show how to study the orbits of G-action on X using Morse theory. This method is proposed by Mirković, Uzawa and Vilonen. Based on the G-orbit-decomposition, I will prove that the equivariant K-theory K^G(X) is isomorphic to K^U(X), after a shift of dimension, where U is the maximal compact subgroup of G. This gives a proof of the Connes-Kasparov conjecture "on flag variety". If time allows I will also talk about the relation between G-orbits on flag variety and representation theory. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 11 / 01 / 2012 |
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| Time: | 02:30pm - 03:30pm |
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