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Presented By: Department of Mathematics

Complex Analysis, Dynamics and Geometry

A variational approach to the Yau-Tian-Donaldson conjecture

The Yau-Tian-Donaldson conjecture, recently proved by Chen-Donaldson-Sun, and Tian, asserts that a Fano manifold X admits a Kahler-Einstein metric if and only if X satisfies a certain stability condition known as K-(poly)stability.

I will present joint work with Robert Berman and Sebastien Boucksom, on a new, variational, proof of this conjecture. Our proof uses pluripotential theory and ideas from non-Archimedean geometry, but not use the continuity method nor Cheeger-Colding-Tian theory. Speaker(s): Mattias Jonsson (University of Michigan)

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