Mon, 24 Apr 2023
14:15
14:15
L4
Non-Archimedean Green's functions
Sébastien Boucksom
(CNRS / Institut de Mathématiques de Jussieu-Paris Rive Gauche)
Abstract
Pluripotential theory studies plurisubharmonic functions and complex Monge-Ampère equations on complex manifolds, and has played a key role in recent progress on Kähler-Einstein and constant scalar curvature Kähler metrics. This theory admits a non-Archimedean analogue over Berkovich spaces, that can be used to study K-stability. The purpose of this talk is to provide an introduction to this circle of ideas, and to discuss more specifically recent joint work with Mattias Jonsson studying Green's functions in this context.