JHU-UMD Complex Geometry Seminarhttp://www-math.umd.edu/research/seminars.html On the Yau-Tian-Donaldson conjecture for extremal metrics http://www-math.umd.edu/research/seminars.html Tue, 17 Feb 2026 14:00:00 EST Where: Kirwan Hall 3206
Speaker: Mattias Jonsson (Michigan) -
Abstract: Let X be a compact Kähler manifold. Calabi asked whether a given Kähler class on X contains a "canonical" Kähler metric, such as an extremal metric. Roughly speaking, the Yau-Tian-Donaldson conjecture states that if the Kähler class is the first Chern class of an ample line bundle, then the existence of an extremal metric should be governed by an algebro-geometric stability condition. I will present joint work with S. Boucksom, where we prove a version of this conjecture.


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