|Date: Thursday, October 14, 2021
Location: 3866 East Hall (5:30 PM to 6:30 PM)
Title: Symplectic Reduction
Abstract: It is a well-known 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 G-action 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 Marsden-Weinstein-Meyer reduction theorem. If time permits, we will describe how this relates to algebraic (GIT) quotients (Kempf-Ness theorem).
Speaker: Reebhu Bhattacharyya
Institution: University of Michigan