### Characterizing Smoothness of Quotients

- Series
- Job Candidate Talk
- Time
- Monday, February 10, 2020 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Matthew Satriano – University of Waterloo – msatriano@uwaterloo.ca

Given an action of a finite group $G$ on a complex vector space $V$, the Chevalley-Shephard-Todd Theorem gives a beautiful characterization for when the quotient variety $V/G$ is smooth. In his 1986 ICM address, Popov asked whether this criterion could be extended to the case of Lie groups. I will discuss my contributions to this problem and some intriguing questions in combinatorics that this raises. This is based on joint work with Dan Edidin.