GdT Komplex
Kähler-Einstein metrics on families of K-stable Fano varieties
par
→
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.