Time: 21:00-23:00, March 3rd(Wednesday, Beijing Time)
Speaker: Prof. Chenyang Xu, Prof. Yuchen Liu, Princeton University
Online: Zoom (Meeting ID: 848 2098 8901 Password: 321943)
Title: Algebraic K-stability theory— one new theme connecting two old fields
Abstract: K-stability was first introduced by Tian to characterize the solution of 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 the first part of 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. In the second part, we will discuss our joint work with Ziquan Zhuang, on settling the finite generation conjecture, which is the last piece of solving several foundational questions in K-stability.