Hitchin fibration and commuting schemes

Geometry, Symmetry and Physics
Event time: 
Monday, April 12, 2021 - 4:30pm
https://yale.zoom.us/j/92811265790 (Password is the same as last semester)
Tsao-Hsien Chen
Speaker affiliation: 
University of Minnesota
Event description: 

The commuting scheme has always been of great interest in invariant theory but it was only recent that it appears as a primordial object in the study of the Hitchin fibration for higher dimensional varieties. I will explain how the invariant theory for the commuting scheme, in particular the Chevalley restriction theorem for the commuting scheme, was used in the study of Hitchin fibration and the proof of the Chevalley restriction theorem in the case of symplectic Lie algebras. The talk is based on joint work with Ngo Bao Chau.