University of Toronto's Symplectic Geometry Seminar

May 14th, 2007, 1:00 pm
BA 2159

Mark Hamilton

University of Calgary

Geometric quantization of singular reduction

Abstract: "Singular reduction," initiated by Cushman, is an approach to symplectic reduction that studies spaces by looking at the ring of smooth functions on the space. In the case where the reduced space is regular, it agrees with the usual Marsden-Weinstein reduction, but can also be used to study cases where the reduction is singular. In this talk, I will give a definition of geometric quantization of singular reduction. If time permits, I will compare it to quantization of other types of reduction, and discuss how they work in a particular example.