The convergence of the conical K ahler-Ricci flow on Fano manifolds
主 题: The convergence of the conical K ahler-Ricci flow on Fano manifolds
报告人: Zhang Xi (USTC)
时 间: 2014-05-13 10:10-12:00
地 点: BICMR, Quan Zhai, 29(主持人:朱小华)
On Fano manifold, Tian and Zhu proved that: if it exists a K\"ahler-Einstein metric, then the K\"ahler-Ricci flow with any initial metric in the first Chern class must converges to a K\"ahler-Einstein metric in the $C^{\infty}$-topology. Recently, there has been renewed interest in conical K\"ahler-Eistein metrics. It is natural to ask: does the above Tian and Zhu's result valid for the conical K\"ahler-Ricci flow. In this talk, we talk about this problem and introduce our recent work (Joint with Liu JiaWei ) on the convergence of the conical K\"ahler-Ricci flow on Fano manifolds.