Date: Thursday, October 14, 2021
Location: 3866 East Hall (5:30 PM to 6:30 PM)
Title: Symplectic Reduction
Abstract: It is a wellknown fact that if we have a Lie group G acting on a smooth manifold M freely and properly, then the quotient is also a smooth manifold. In this talk, we will describe a modification of this process in the case M is a symplectic manifold and the Gaction is Hamiltonian which will allow us to find a quotient with a canonical symplectic form. More concretely, we will discuss moment maps for Hamiltonian actions and the MarsdenWeinsteinMeyer reduction theorem. If time permits, we will describe how this relates to algebraic (GIT) quotients (KempfNess theorem).
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Speaker: Reebhu Bhattacharyya
Institution: University of Michigan
Event Organizer:
