Analytic Methods in Algebraic Geometry Day

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

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.
Date: Saturday, March 18, 2017
Time: 04:00pm
Where: Lunt 105
Contact Person: Valentino Tosatti
Contact email: tosatti@math.northwestern.edu
Contact Phone:
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