XXXVII Workshop on Geometric Methods in Physics | 1-7.07.2018 |
VII School on Geometry and Physics | 25-29.06.2018 |
Home |
First Announcement
Second Announcement |
Travel and local information |
Participants of Workshop Participants of School |
Registration | Photos | Proceedings | Previous Workshops |
Georgy SharyginThe commuting elements in deformation of Poisson manifoldsLet $M$ be a Poisson manifold. As one knows according to Kontsevich's result there always exists a deformation quantization of the algebra of smooth functions on $M$. Suppose now that $f_1,\dots,f_n$ are Poisson commuting functions on $M$. In my talk I shall discuss the question, whether it is possible to extend these functions to commuting elements in the deformed algebra. I will describe few old and new cohomological obstructions for this and discuss relations between them; I will also give few examples of such systems and their quantizations. |
Event sponsored by: | |||||
University of Bialystok |