Non-Archimedean Aspects of K-stability in Algebraic Geometry

Explore a mathematical seminar presentation where Dr. Yueqiao Wu from the Institute for Advanced Study, Princeton delves into the non-Archimedean interpretations of K-stability in complex projective varieties. Learn about the algebro-geometric concept of K-stability and its conjectured relationship to canonical metrics, with particular focus on Fano varieties and valuative criteria. Discover the motivation behind the recently introduced concept of divisorial stability by Boucksom-Jonsson, and gain insights into how non-Archimedean tools contribute significantly to this mathematical domain. Originally presented at the Isaac Newton Institute as part of the New Equivariant Methods in Algebraic and Differential Geometry (EMG) series, this hour-long talk provides a comprehensive overview of these advanced mathematical concepts.