Liangming Shen (McGill University)

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, as Song-Tian did for klt singularites, we will transform the flow equation to a Monge-Ampere type equation with singularites. Then we will establish a potential estimate based on approximations with respect to several parameters. Finally if we have time we will briefly discuss the high order estimate and relations to the minimal model program. This work is joint with A. Chau, H. Ge and K. Li.