A variational approach to the Yau-Tian-Donaldson conjecture. (Part I)

Mattias Jonsson

I will present joint work with Robert Berman and Sebastien Boucksom, on a new proof of a uniform version of the Yau-Tian-Donaldson conjecture for Fano manifolds with finite automorphism group. Our approach does not involve the continuity method or Cheeger-Colding-Tian theory. Instead, the proof is variational and uses pluripotential theory and certain non-Archimedean considerations.

http://scgp.stonybrook.edu/video_portal/video.php?id=2374

Simons- Program: Moduli spaces and singularities in algebraic and Riemannian geometry