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SUMMARY:Towards an HKR-Theorem for Coisotropic Reduction
DTSTART:20230602T120000Z
DTEND:20230602T130000Z
DTSTAMP:20260614T030500Z
UID:indico-event-9865@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marvin Dippell (Salerno)\n\nDeformation quantization
  aims at constructing a quantum mechanical analogue to a given classical m
 echanical system by (formally) deforming the commutative algebra of functi
 ons on a given Poisson manifold (M\,pi) into a non-commutative algebra des
 cribing the associated quantum system. In this talk I will present a gener
 al framework for incorporating the additional information of a coisotropic
  submanifold C in M into its algebra of functions and study the deformatio
 n theory of these so-called constraint algebras. I will present some first
  results towards a constraint Hochschild-Kostant-Rosenberg Theorem and in 
 particular compute the second contraint Hochschild cohomology in the case 
 of R^n.\n\nhttps://indico.math.cnrs.fr/event/9865/
LOCATION:Fokko du Cloux (Bâtiment Braconnier)
URL:https://indico.math.cnrs.fr/event/9865/
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