Algebra and Geometry Seminar: A Proof of the Ginzburg-Kazhdan Conjecture
Event Description:
Abstract: The main theorem of this talk will be that the affine closure of the cotangent bundle of the basic affine space (also known as the universal hyperkähler implosion) has symplectic singularities for any reductive group, where essentially all of these terms will be defined in the course of the talk. First, we'll discuss the universal hyperkähler implosion and review some basic examples. Afterwards, we'll define and motivate the notion of symplectic singularities. We will then survey some of the basic facts that are known about the universal hyperkähler implosion and discuss how they are used to prove the main theorem. Time permitting, we'll also discuss how the main theorem relates to the symplectic duality program.
Zoom link: https://unm.zoom.us/j/93869347930