Sep 16 – 20, 2024
Le Bois-Marie
Europe/Paris timezone

Geometric Quantization of General Kähler Manifolds

Sep 16, 2024, 11:30 AM
1h
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Speaker

Jørgen E. Andersen (Odense University)

Description

We will consider Geometric Quantization on general Kähler phase spaces and propose a program for compatible constructions of the quantization of functions, the Hilbert space structure, and the dependence on the choice of the Kähler structure (generalized Hitchin connection), fixing only the underlying symplectic manifold and a prequantum line bundle. We will in particular see explicitly how the curvature of the phase space modifies the quantization.

Presentation materials