Série de Palestras do IST em Geometria Algébrica e Física  

12/07/2017, 10:30 — 12:00 — Anfiteatro Pa2, Pavilhão de Matemática
Martin Schlichenmaier, University of Luxembourg

A review of Berezin-Toeplitz quantization

In this lecture course I will introduce the Berezin-Toeplitz (BT) quantization scheme. This scheme is adapted if the phase space manifold is a Kaehler manifold. The BT scheme includes and relates both operator quantization and deformation quantization.

I will define the basic objects and explain the main results. In particular it will turn out that the BT operator quantization has the correct semiclassical limit (at least in the compact Kaehler case).

If time permits I will also discuss coherent states a la Berezin-Rawnsley, covariant and contravariant Berezin symbols and the Berezin transform which is related to the Bergman kernel.

Depending on the wishes of the audience other related topics can be presented.

Ver também

Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results.