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Title: Integrable systems and hamiltonian flows on moduli spaces

Abstract: I will describe a general 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.

Location: UQAM PK-5675