## 13/10/2020, Tuesday, 17:00–18:00 Europe/Lisbon — Online

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.