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On constant scalar curvature Kaehler metric problems
时间  Datetime
2019-08-06 16:00 — 17:00 
地点  Venue
Large Conference Room(706)
报告人  Speaker
Xiuxiong Chen
单位  Affiliation
Stony Brook University
邀请人  Host
Congming Li
报告摘要  Abstract

Inspired by the celebrated $C^0$ and $C^3$ a priori estimate of Calabi, Yau and others on Kaehler Einstein metrics, we present a report on a priori estimates from entropy estimate to a priori  $C^3$ estimate on constant scalar curvature Kaehler metrics. We can apply these estimates to prove the celebrated Donaldson conjecture on geodesic stability and the well known properness conjecture on the Mabuchi energy functional. This is a joint work with Cheng JingRui from Simons Center of Geometry and Physics and the lecture is intended to be expository.