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SUMMARY:Nikita Safonkin (Leipzig University\, Germany)
DTSTART:20250609T150000Z
DTEND:20250609T160000Z
DTSTAMP:20260423T021155Z
UID:ENAAS/126
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/126/">
 What is a double star-product?</a>\nby Nikita Safonkin (Leipzig University
 \, Germany) as part of European Non-Associative Algebra Seminar\n\n\nAbstr
 act\nDouble Poisson brackets\, introduced by M. Van den Bergh in 2004\, ar
 e noncommutative analogs of the usual Poisson brackets in the sense of the
  Kontsevich-Rosenberg principle: they induce Poisson structures on the spa
 ce of N-dimensional representations of an associative algebra A  for any N
 . The problem of deformation quantization of double Poisson brackets was r
 aised by D. Calaque in 2010\, and had remained open since then. In the tal
 k\, I plan to present a possible answer to the question in the title. Name
 ly\, I will discuss a structure on an associative algebra A that induces a
  star-product under the representation functor and\, therefore\, according
  to the Kontsevich-Rosenberg principle\, can be viewed as an analog of sta
 r-products in noncommutative geometry. If time permits\, I will also discu
 ss a way to invert the Kontsevich-Rosenberg principle by introducing the n
 otion of a double algebra over an arbitrary operad. The talk is based on a
 rXiv:2506.00699.\n
LOCATION:https://researchseminars.org/talk/ENAAS/126/
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