Characterizing Smoothness of Quotients

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

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.