13/10/2020, 17:00 — 18:00 Europe/Lisbon —
Xiuxiong Chen, Stony Brook University
On the space of Kähler metrics
Inspired by the celebrated $C^0, C^2$ and $C^3$ a priori estimate of Calabi, Yau and others on Kähler Einstein metrics, we will present an expository report of a priori estimates on the constant scalar curvature Kähler metrics. With this estimate, we prove the Donaldson conjecture on geodesic stability and the properness conjecture on Mabuchi energy functional.
This is a joint work with Cheng JingRui.