Smith Colloquium

March 18, 2021

Chenyang Xu, Princeton University

Title: Algebraic K-stability theory— one new theme connecting two old fields

Abstract: K-stability was first introduced by Tian to characterize the solve the Kähler-Einstein problem for positively curved space. In the last decade, a purely algebraic geometry study of K stability has prospered, based on the birational classification theory of varieties centered around the minimal model program. In this talk, we will discuss algebraic geometer's gradually evolving understanding of the role K-stability plays in the classification theory as well as how we establish its connection with the minimal model program.