Good moduli spaces for Artin stacks
Jarod Alper, Stanford

Abstract: I will develop an intrinsic theory for associating schemes or algebraic spaces with nice geometric properties to arbitrary Artin stacks. This theory offers a stack-theoretic approach to geometric invariant theory. I will define the notion of a good moduli space which simultaneously generalizes the existing notions of good GIT quotients and tame stacks. I will also explore the local structure of Artin stacks and in particular address whether Artin stacks are locally quotient stacks.