Speakers: Zhang Xi (USTC)

Place: 全斋 29， Math Center.

Time: May 13 (Tuesday), 10:10am-12:00pm

Abstract: 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.