Analytic Delta Invariant and Weighted Kähler Geometry - Lecture 1

Join this lecture by Thibaut Delcroix exploring the analytic perspective on the delta invariant in Fano varieties and its connection to K-stability. Learn about Kewei Zhang's analytic approach to the delta invariant and understand the fundamental concepts behind the variational approach to canonical Kähler metrics. This first lecture lays the groundwork for the second session, which will extend these concepts to weighted Kähler geometry, including applications to Kähler-Ricci solitons. Recorded during the "Winter School on K-stability" at the Centre International de Rencontres Mathématiques (CIRM) in Marseille, France on March 3, 2025, this 59-minute presentation is part of CIRM's comprehensive Audiovisual Mathematics Library, which offers features like chapter markers, keywords, abstracts, and multi-criteria search functionality.