## Video URL

http://pirsa.org/23040087# Integrable systems from Calabi-Yau categories

### APA

Rozenblyum, N. (2023). Integrable systems from Calabi-Yau categories. Perimeter Institute for Theoretical Physics. http://pirsa.org/23040087

### MLA

Rozenblyum, Nikita. Integrable systems from Calabi-Yau categories. Perimeter Institute for Theoretical Physics, Apr. 06, 2023, http://pirsa.org/23040087

### BibTex

@misc{ scivideos_PIRSA:23040087, doi = {}, url = {http://pirsa.org/23040087}, author = {Rozenblyum, Nikita}, keywords = {Mathematical physics}, language = {en}, title = {Integrable systems from Calabi-Yau categories}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2023}, month = {apr}, note = {PIRSA:23040087 see, \url{https://scivideos.org/PIRSA/23040087}} }

Nick Rozenblyum University of Chicago

## Abstract

I will describe a general categorical approach to constructing Hamiltonian actions on moduli spaces. 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 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.

Zoom link: https://pitp.zoom.us/j/92929253744?pwd=WGFNQmRJck5NdzFFdU8xcXRlN3RRQT09