GdT Komplex

Kähler-Einstein metrics on families of K-stable Fano varieties

by Mr Chung-Ming Pan (IMT)

Europe/Paris
Pelos (IMT)

Pelos

IMT

Description

 This talk aims to introduce a pluripotential approach to study uniform a priori estimates of Kähler-Einstein potentials in families of K-stable Fano varieties. I will first define a notion of convergence of quasi-psh functions in families of normal varieties and extend several classical properties of pluripotential theory under in this context. I will then explain how these elements help to obtain a uniform $L^{\infty}$-estimate. This is joint work with Antonio Trusiani.