For more information about this meeting, contact Becky Halpenny.
| Title: | "Quantization Commutes with Reduction" |
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| Seminar: | Ph.D. Oral Comprehensive Examination |
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| Speaker: | Yanli Song, Adviser: Nigel Higson, Penn State |
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| Abstract: |
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| I will outline an analytic proof to Guillemin-Sternberg conjecture, that "quantization commutes with reduction", which is given by Tian and Zhang.
The proof bases on Morse theory. We deform the Dirac operator D be Clifford action of a vector field induced by norm square of moment map. We will study its properties in limit.
In this way, we will show how to "localize" the problem to a small neighborhood of the submanifold where the moment vanishes. |
Room Reservation Information
| Room Number: | 116 EE West |
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| Date: | 04 / 25 / 2011 |
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| Time: | 02:00pm - 04:00pm |
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