题目：On Kahler-Einstein metric near isolated log canonical singularity

报告人：付欣 博士（罗格斯大学）

Abstract :

We construct  K/"ahler-Einstein metric with negative curvature near an isolated log canonical singularity by solving Monge-Amp/`ere equation with Dirichlet boundary, hence extends previous work of /cite{EGZ,B,S4} which construct K/"ahler-Einstein metric on canonical polarized  singular variety. We continue to consider the geometry of the K/"ahler-Einstein metric we constructed. In particular, in complex dimension 2, we show that all complete local K/"ahler-Einstein metrics near isolated singularity are asymptotic the same as the model metric constructed in /cite {Kob,Kob2} by Kobayashi and Nakamura. As application, we have a concrete description of degeneration of K/"ahler-Einstein metrics with negative curvature on canonical polarized variety varieties with certain types of log canonical singularity.

时间：2019年12月30日（周一）下午15:00-16:00

地点：565net必赢客户端教二楼808教室

联系人：戎小春

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