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.