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SUMMARY:Alexander Buryak (HSE Moscow)
DTSTART:20210312T080000Z
DTEND:20210312T090000Z
DTSTAMP:20260423T022723Z
UID:CGP-MP/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/1/">A
  noncommutative generalization of Witten's conjecture</a>\nby Alexander Bu
 ryak (HSE Moscow) as part of IBS-CGP Mathematical Physics Seminar\n\n\nAbs
 tract\nThe classical Witten conjecture says that the generating series of 
 integrals over the moduli spaces of curves of monomials in the psi-classes
  is a solution of the Korteweg - de Vries (KdV) hierarchy. Together with P
 aolo Rossi\, we present the following generalization of Witten's conjectur
 e. On one side\, let us deform Witten's generating series by inserting in 
 the integrals certain naturally defined cohomology classes\, the so-called
  double ramification cycles. It turns out that the resulting generating se
 ries is conjecturally a solution of a noncommutative KdV hierarchy\, where
  one spatial variable is replaced by two spatial variables and the usual m
 ultiplication of functions is replaced by the noncommutative Moyal multipl
 ication in the space of functions of two variables.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/1/
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