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

par M. Chung-Ming Pan (IMT)

lundi 6 mars 2023, 10:30 → 12:00 Europe/Paris

Pelos (IMT)

 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.