PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Prequantization of orbifolds
Seminar:GAP Seminar
Speaker:Eugene Lerman, University of Illinois at Urbana-Champaign
Abstract:
(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
Date:12 / 09 / 2008
Time:02:30pm - 03:30pm