Speaker
Mattias Jonsson, University of Michigan
Abstract
The Yau-Tian-Donaldson conjecture asserts that the existence of a constant scalar curvature Kähler metric on a polarized complex projective variety is an algebro-geometric condition. I will discuss joint work with S. Boucksom, where we obtain a proof of this conjecture. The focus will be on asymptotic estimates of certain functionals along geodesic rays of (singular) Kähler metrics.