8 jan 2019 -- 16:00
Aula D'Antoni, Roma Tor Vergata
Abstract.
In this talk we will mainly focus on the Kähler-Einstein metric in pseudoconvex domains with smooth boundary in Cn. After recalling the construction of this metric (due to Cheng and Yau), we wil investigate the boundary behavior of its holomorphic bisectional curvatures at "ball-like" boundary points. If there is enough time, we will also discuss the behavior of the metric and its curvatures at weakly pseudoconvex boundary points of finite type.