Integrable systems from Calabi-Yau categories
PIRSA ID:
23040087
Series:
Mathematical Series
Event Type:
Seminar
Scientific Area(s):
Mathematical Physics
End date:
Speaker(s):
- Nick Rozenblyum, University of Chicago
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