Event time:
Monday, April 26, 2021 - 4:30pm
Location:
https://yale.zoom.us/j/92811265790 (Password is the same as last semester)
Speaker:
Nick Rozenblyum
Speaker affiliation:
University of Chicago
Event description:
I will describe a general approach to constructing Hamiltonian
actions on moduli spaces from Calabi-Yau categories. In particular cases, this
specializes to give a "universal" Hitchin integrable system as well as the
Calogero-Moser system. Moreover, I will describe a generalization to higher
dimensions of a classical result of Goldman in geometric topology which says
that the Goldman Lie algebra of free loops on a surface acts by Hamiltonian
vector fields on the character variety of the surface. A key input is a
description of deformations of Calabi-Yau structures, which is of independent
interest. This is joint work with Chris Brav.