学术报告
阅读次数:917

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

报告人:周斌 教授 (北京大学 数学科学学院)

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.

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