Back to Algebraic Geometry Seminar: Fall 2016
Algebraic Geometry Seminar
Date: Tuesday, Oct 4, 2016
Time: 3:30PM - 4:30PM
Location: LCB 222
Chi Li
Purdue University
Title |
Minimizing normalized volumes of valuations |
Abstract |
Motivated by the study of Kahler-Einstein/Sasaki-Einstein metrics, I will discuss an algebro-geometric problem of minimizing normalized volumes among all real valuations centered at any Q-Gorenstein klt singularity. It was conjectured that there is always a unique minimizer, which should be quasi-monomial. I will discuss recent progresses on this problem, and explain how it is related to the so-called K-semistability and the deFernex-Ein-Mustata type inequalities. Part of this work is based on joint works with Yuchen Liu and Chenyang Xu. |
Algebraic Geometry