EVENT DETAILS AND ABSTRACT

Title: A variational approach to the Yau-Tian-Donaldson conjecture
Speaker: Mattias Jonsson
Speaker Info: University of Michigan
Brief Description:
Special Note:
Abstract:

The Yau-Tian-Donaldson conjecture, recently proved by Chen-Donaldson-Sun, and Tian, asserts that a Fano manifold X admits a Kähler-Einstein metric if and only if X is K-(poly)stable. I will present joint work with Robert Berman and Sebastien Boucksom, on a new, variational, proof of this conjecture in the case X has no vector fields. Our proof uses pluripotential theory and ideas from non-Archimedean geometry, but not use the continuity method nor Cheeger-Colding-Tian theory.