Berezin-Toeplitz quantization in the Yau-Tian-Donaldson program
Louis Ioos (Max Planck Institute for Mathematics (Bonn))
Abstract: A celebrated conjecture of Yau states that the existence of a Kähler metric of constant scalar curvature on a projective manifold should be equivalent to a purely algebraic stability condition. Much progress have been done on this conjecture, which culminated in what is now called the Yau-Tian-Donaldson program. In this talk, I will explain the key role played by quantization methods in this program, and how they can be improved by a semiclassical study of the quantum noise of Berezin-Toeplitz quantization. This is partly based on joint works in collaboration with Victoria Kaminker, Leonid Polterovich and Dor Shmoish.
algebraic geometrydifferential geometrysymplectic geometry
Audience: researchers in the topic
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Organizers: | Jose Mourao*, Rosa Sena Dias, Sílvia Anjos* |
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