Variations on deformation quantization
Abstract
Description
I have chosen, in this presentation of Deformation Quantization, to focus on 3 points: the uniqueness --up to equivalence-- of a universal star product (universal in the sense of Kontsevich) on the dual of a Lie algebra, the cohomology classes introduced by Deligne for equivalence classes of differential star products on a symplectic manifold and the construction of some convergent star products on Hermitian symmetric spaces. Those subjects will appear in a promenade through the history of existence and equivalence in deformation quantization.
Text of my talk at the Moshe Flato conference in Dijon in September 1999
Text of my talk at the Moshe Flato conference in Dijon in September 1999