几何分析讨论班—Mabuchi metrics and relative Ding stability of toric Fano varieties
主 题: 几何分析讨论班—Mabuchi metrics and relative Ding stability of toric Fano varieties
报告人: 姚懿 (Sichuan University)
时 间: 2017-03-08 14:00-16:00
地 点: 理科1号楼1114
Abstract：On Fano manifolds, there is a new infinite dimensional GIT picture introduced by S. Donaldson such that the associated moment map is the Ricci potentials. The resulting YTD correspondence is between the K-E metrics and Ding stability. The critical points of the moment map's norm square are exactly the generalized K-E metrics which have been found by T. Mabuchi in 2000. The associated stability should be the relative version of Ding stability. In this talk, I will focus on the toric setting, discuss the Ding-Futaki invariants, relative Ding stability, the existence of Mabuchi metrics and the optimal destabilizers, etc.