Event

Liangming Shen, CIRGET

Friday, March 22, 2019 11:00to12:00
Room PK-5115 , Pavillon President-Kennedy, 201 Ave. President-Kennedy, CA

Title: The Kahler-Ricci flow with log canonical singularities.

Abstract: In this talk we will introduce how to construct solutions to the Kahler-Ricci flow with log canonical singularities. First, I will briefly introduce the minimal model program and related basic facts in algebraic geometry. Then as Song-Tian did for klt singularites, we will transform the flow equation to a Monge-Ampere type equation with singularites. We will briefly introduce the potential estimate based on approximations with respect to several parameters. By these we could establish the existence and uniqueness of the solutions. This work is joint with A. Chau, H. Ge and K. Li.

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