EVENT DETAILS AND ABSTRACT

Title: Uniqueness of K-polystable degenerations of Fano varieties
Speaker: Harold Blum
Speaker Info: University of Utah
Brief Description:
Special Note:
Abstract:

K-stability is an algebraic notion that characterizes when a smooth Fano variety admits a Kahler-Einstein metric. A key motivation for understanding K-stability is to construct moduli spaces for Fano varieties. In this talk, I will explain that a K-polystable degeneration of a family of Q-Fano varieties is necessarily unique. The result is a key step in the program to construct a proper moduli space parameterizing K-polystable Q-Fano varieties and essentially verifies the separateness of said moduli space. This is joint work with Chenyang Xu.