# 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.