Title: Invariant Theory and the Moment Map
Speaker: Yichen Zhang
Abstract: This talk will be a very basic introduction to symplectic reduction and geometric invariant theory, emphasising explicit finite-dimensional examples from a differential-geometric viewpoint. Time permitting, we will outline some infinite-dimensional analogues and describe how these ideas heuristically link the existence of extremal objects in Kähler geometry to stability conditions in geometric invariant theory.
Some snacks will be provided before and after the talk.