MMOnline – Информационный портал о мехмате МГУ

1 апреля 2004 года (четверг) в 15:40 в конференц-зале НМУ, Б. Власьевский, 11 состоится очередная лекция семинара Глобус "BEREZIN-TOEPLITZ DEFORMATION QUANTIZATION OF COMPACT KAHLER MANIFOLDS". Лектор - Martin Schlichenmaier (University of Luxembourg).

Quantizable Kahler manifolds are Kahler manifolds with a distinguished Hermitian line bundle (the quantum line bundle) such that the curvature form of this line bundle is essentially equal to the Kahler form. Moduli spaces, very often, carry such structure in a natural manner.

In this context the Berezin-Toeplitz operator quantization can be defined. For compact quantizable Kahler manifolds it is shown that it has the correct semi-classical limit. In particular, by some refinement of the technique, the existence of a formal deformation quantization (the Berezin-Toeplitz deformation quantization) compatible with the complex structure follows.

Part of the results presented are joint work with Martin Bordemann and Eckhard Meinrenken, and Alexander Karabegov, respectively.

Московское Математическое Общество