Canonical Kähler metrics and quantization

For zoom details please contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).
 

The search for canonical Kähler metrics on projective manifolds is a fundamental problem in complex algebraic geometry. In the beginning of the century, Donaldson discovered a link between this problem and a geometric point of view on quantum mechanics proposed by Berezin in the seventies. In this talk, I will explain this link, and show how a semi-classical estimate on the quantum noise of the so-called Berezin-Toeplitz quantization can be applied to Donaldson's program. This talk is based on a joint project with Leonid Polterovich.