Diameter of Kähler manifolds

par Tat Dat Tô (IMJ)

vendredi 20 oct. 2023, 10:30 → 12:00 Europe/Paris

Picard (IMT)

In this talk we present a recent result of Guo-Phong-Song-Sturm on diameter estimates for Kähler metrics which require only an entropy bound on the volume, and no lower bound on the Ricci curvature. The proof builds on recent PDE techniques for $L^\infty$ estimates for complex Monge-Ampère equations.