Variational solutions to extremal metrics on toric surfaces
主 题: Variational solutions to extremal metrics on toric surfaces
报告人: 周斌 博士 (北京国际数学中心)
时 间: 2011-09-02 14:00 - 15:00
地 点: 理科一号楼 1114
The existence of canonical metrics on Kahler manifolds is a fundamental problem in complex geometry. In this talk, we will discuss a variational approach to Calabi's extremal metrics on toric manifolds. In particular, on toric surfaces, we obtain the existence, uniqueness and interior regularity of weak minimizers of Donaldson's version of K-energy associated to extremal metrics.