Symplectic Structures in Geometry, Algebra and Dynamics
Collaborative Research Centre TRR 191
A1, A2, A3, A5, A6, A7, A8
B1, B2, B3, B4, B5, B6, B7, B8
C1, C2, C3, C4, C5, C6, C7
Topology & Equivariant Theories
A3: Geometric quantization
Heinzner, Marinescu
The main idea in the theory of geometric quantization (introduced by Kostant and Souriau) of a manifold X is to associate with X "quantum" Hilbert spaces defined by means of some canonical geometric constructions. In the presence of a group action, an important meta-principle is "reduction commutes with quantization". This principle describes how the quantization of the quotient relates to the quantization of the original manifold. We will consider the following aspects of quantization: (1) Berezin-Toeplitz quantization, (2) Holomorphic Morse inequalities, (3) Ergodic complex geometry, (4) Quantization and reduction. One of the tools employed will be Szegö and Bergman kernel expansions.
Prof. Peter Heinzner (PI)
mail: peter.heinzner at
phone: 0234 / 32 23325
room: IB 3/115
Faculty of Mathematics
Ruhr-University Bochum
Prof. George Marinescu (PI)
mail: gmarines at
phone: 0221 / 470 2661
room: 112
Mathematical Institute
University of Cologne
Dr. Nikhil Savale (pd)
mail: nsavale at
phone: 0221 / 470 1303
room: C 107 (Gyrhofstr. 8a)
Mathematical Institute
University of Cologne
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg