Geometric Analysis Seminar——Mabuchis K-energy functional on horosymmetric varieties
主 题: Geometric Analysis Seminar——Mabuchis K-energy functional on horosymmetric varieties
报告人: Thibaut Delcroix (Ecole Normale Superieure)
时 间: 2018-06-29 14:00-15:00
地 点: Room1493, Sciences Building No. 1
Abstract: Spherical varieties form a very large class of almost-homogeneous varieties and as such a promising class on which one can study existence of canonical metrics. However it is very difficult to do Kahler geometry in a uniform way on all spherical varieties. I will introduce a subclass containing homogeneous toric bundles and group compactifications on which I am able to adapt toric geometry techniques to obtain a combinatorial sufficient criterion of properness of Mabuchi's K-energy functional, hence existence of cscK metrics. The method for the latter follows a general strategy due to Bin Zhou and Xiaohua Zhu.