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SUMMARY:Vladimir Dotsenko (University of Strasbourg\, France)
DTSTART:20230424T090000Z
DTEND:20230424T100000Z
DTSTAMP:20260423T052546Z
UID:ENAAS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/27/">O
 perad filtrations and quantization</a>\nby Vladimir Dotsenko (University o
 f Strasbourg\, France) as part of European Non-Associative Algebra Seminar
 \n\n\nAbstract\nThe celebrated problem of deformation quantization discuss
 es deformations of Poisson algebras into associative algebras\, a question
  that is\, in the end\, motivated by quantum mechanics. I shall discuss th
 is question and some of its generalisations from the purely algebraic poin
 t of view using the theory of operads. In particular\, I shall show how to
  prove that there are\, in a strict mathematical sense\, only two meaningf
 ul deformation problems for Poisson algebras\, namely deforming them in th
 e class of all Poisson algebras or all associative algebras\, and there is
  only one meaningful deformation problem for the so called almost Poisson 
 algebras (also sometimes known as generic Poisson algebras)\, namely defor
 ming them in the class of all almost Poisson algebras. For instance\, this
  explains the existing body of work in the mathematical physics literature
  asserting that some classes of non-associative star products cannot be al
 ternative\, are always flexible etc.\n
LOCATION:https://researchseminars.org/talk/ENAAS/27/
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