For more information about this meeting, contact Mathieu Stienon, Nigel Higson, Ping Xu.
| Title: | Prequantization of orbifolds |
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| Seminar: | GAP Seminar |
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| Speaker: | Eugene Lerman, University of Illinois at Urbana-Champaign |
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| Abstract: |
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| (This is joint work with Anton Malkin.) The prequantization procedure assigns to a manifold M with an integral 2-form F a principal circle bundle P over M with a connection A whose curvature is F. A principle of Guillemin and Sternberg says that prequantization commutes with taking symplectic quotients. Generically symplectic quotients are orbifolds, so there is a need to make sense of prequantization of orbifolds. A functorial view of prequantization due to Hopkins and Singer gives a clue of how to proceed. In particular we show that when the orbifold in question is a point with an action of a finite group G its prequantization is a character of G. |
Room Reservation Information
| Room Number: | MB114 |
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| Date: | 12 / 09 / 2008 |
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| Time: | 02:30pm - 03:30pm |
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