Title：Weak conical Kahler-Einstein metrics
Time：2018年8月14日 下午 16:00-17:00
Abstract：Kahler-Einstein metrics with cone singularities along hypersurfaces in a Kahler manifold play important role in the resolution of the Kahler-Einstein problem on Fano manifolds. This type of singular structure also has its own interest in other situations. In this talk, we will discuss how to go from the potential bound to the metric bound along the continuity path designed for the existence using a local Moser iteration technique. This metric bound will then imply the existence of weak conical Kahler-Einstein metrics under certain conditions.