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A variational approach to the study of the cscK equation

Speaker: 
Carlo Scarpa
Schedule: 
Friday, December 11, 2020 - 14:00
Location: 
Online
Location: 
Zoom, sign in to get the link
Abstract: 

Given a Kähler class on a compact complex manifold, Mabuchi showed in 1985 that there is a functional whose critical points (that are in fact minimizers) are solutions of the constant scalar curvature equation. In this talk we will give an overview of the study of this K-energy functional, that has brought in recent years many important results regarding the existence and uniqueness of cscK metrics. 

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