Title: Gromov-Hausdorff limits of Kähler-Einstein manifolds
Speaker: Song Sun
Speaker Info: Stony Brook
Brief Description:
Special Note:
Abstract:
A sequence of Riemannian manifolds with bounded Ricci curvature and non-collapsing volume has Gromov-Haudorff limits, which are in general only metric spaces. For projective manifolds endowed with Kähler metrics, we will show these limits are naturally projective varieties, and discuss further connections with algebraic geometry of the limits and their singularities. This talk is based on joint work with Simon Donaldson.Date: Friday, May 29, 2015