Quantization methods in the Yau-Tian-Donaldson program

Abstract: A celebrated conjecture of Yau states that the existence of a Kähler metric with constant scalar curvature on a projective manifold should be equivalent to a purely algebraic stability condition. Much progress has been done on this conjecture in the past decades, culminating 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 using a semiclassical estimate 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 geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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The livestream is on Zoom at : uqam.zoom.us/j/98999725241 (no password is needed).

The recorded talks can be found at CIRGET channel : www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA