Algebra Seminar: Hamiltonian flows in (relative) Calabi-Yau categories
Monday, April 1, 2024 3:30pm to 4:30pm
Monday, April 1, 2024 3:30pm to 4:30pm
About this Event
3620 South Vermont Avenue, Los Angeles, CA 90089
Nick Rozenblyum, University of Toronto
Title: Hamiltonian flows in (relative) Calabi-Yau categories
Abstract: I will describe a general categorical approach to constructing Hamiltonian actions on moduli spaces from categorical data. In particular cases, this specializes to give a "universal" Hitchin integrable system, the Calogero-Moser system, and the Hamiltonian action of necklace Lie algebras on Nakajima quiver varieties. A key input is a description of deformation of Calabi-Yau structures and its relation to a cyclic version of the Deligne conjecture, which is of independent interest. This is joint work with Brav.
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