题目：Properness of Energy Functions on Polarized Compactifications of Reductive Lie Groups

报告人：周斌 教授 （北京大学 太平洋在线会员登录）

时间：2018年1月4号 10：00-11：00

地点：宁静楼110室

摘要: In this talk, I will first give an introduction on Tian's properness conjecture concerning on an analytic charactarization of the existence of canonical metrics in Kahler geometry. Then I will focus on compactifications of reductive Lie groups. The main results are criterion theorems of the properness of two important functionals——Ding functional and Mabuchi's K-energy on these manifolds. In particular, the existence of Kahler-Einstein metrics, Kahler-Ricci solitons and Mabuchi's generalized Kahler-Einstein metrics on Fano compactifications of reductive Lie groups can be established.