49:07
publiée le 1 juin 2025
On manifolds with almost non-negative Ricci curvature and integrally-positive kth-scalar curvature
De Andrea Mondino
Analytic delta invariant and weighted Kähler geometry Lecture 1
Apparaît dans la collection : Jean Morlet Chair - Winter School on K-stability / Chaire Jean Morlet - Ecole d'hiver sur la K-stabilité
The algebraic delta invariant, a number encoding the K-stability of a Fano variety, is a central theme of this Winter school. In the first lecture, T. Delcroix presents an analytic viewpoint on the delta invariant developped by Kewei Zhang, along with the rough ideas of the variational approach to existence of canonical Kähler metrics. In his second lecture, he extends this to the weighted Kähler setting (joint work with S. Jubert), allowing to deal with Kähler-Ricci solitons and more.
