Quotients of algebraic varieties

Thursday, September 14, 2017 - 1:00pm
Math 110
Jarod Alper

Abstract:  In this talk, we will address the following question:  given an algebraic group G acting on a variety X, when does the quotient X/G exist?  We will provide an answer to this question in the case that G is reductive by giving necessary and sufficient conditions for the quotient to exist.  We will discuss various applications to equivariant geometry, moduli problems and Bridgeland stability.