Reductive quotient of klt singularities

Abstract: In this talk, I will explain recent progress towards the understanding of quotients of smooth points by the action of reductive groups. The main result is that these quotients belong to the singularities of the minimal model program. Some applications of this result to moduli theory will be explained.

algebraic geometry

Audience: researchers in the topic

Algebraic Geometry NorthEastern Series (AGNES)