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Dynamics in Siberia - 2019
26 февраля 2019 г. 13:35–14:05, Новосибирск, Институт математики им. С.Л.Соболева СО РАН, ауд. 417
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Sections
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Deformation quantization of commutative families
Г. И. Шарыгин |
Количество просмотров: |
Эта страница: | 83 |
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Аннотация:
In my talk I will describe a series of cohomological obstructions, that regulate the existence of elements in deformation quantization of a Poisson manifold, that would extend the given commutative (w.r. to the Poisson brackets) family of smooth functions to a family of commuting (in the usual sense) elements in the deformed algebra of functions on this manifo ld. In the end I will describe a conjecture, that gives a more geometric way to construct such obstructions in the particular case, when the manifold in question is symplectic. The talk is based on work, supported by the grant NSh-6399.2018.1.
Язык доклада: английский
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