Title: Partial C^0-estimate, Gromov-Hausdorff Limits of Kahler Manifolds and Algebraic Geometry

Speaker: Yiyan Xu (Peking University)

Venue: Room 09 at Quan-Zhai (全斋), BICMR, Peking University

Time: Nov 21, 2012, Wednesday, 10:00 - 12:00 a.m.

Abstract: We will talk about the verification of Tian's conjecture on the partial C^0-estimate: Bergman function for Kahler-Einstein metrics has a uniform lower bound. Moreover, this effective version of Kadaira Embedding implies that the Gromov-Hausdorff limits of Kahler-Einstein metrics are projective varieties.

Reference:
[1]Simon Donaldson and Song Sun, Gromov-Hausdorff Limits of Kahler Manifolds and Algebraic Geometry, http://arxiv.org/abs/math/1206.2609
[2]Gang Tian, Partial $C^0$ estimate for K\"{a}hler Einstein metrics, http://www.ihp.fr/fr/programmes/en-cours