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SUMMARY:Guillaume Chapuy (IRIF\, Université de Paris)
DTSTART:20220318T080000Z
DTEND:20220318T090000Z
DTSTAMP:20260423T024531Z
UID:CGP-MP/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/24/">
 b-monotone Hurwitz numbers: Virasoro constraints\, BKP hierarchy\, and O(N
 )-BGW integral</a>\nby Guillaume Chapuy (IRIF\, Université de Paris) as p
 art of IBS-CGP Mathematical Physics Seminar\n\n\nAbstract\nMy talk will be
  an introduction to (part of) my recent paper arXiv:2109.01499 written joi
 ntly with Valentin Bonzom and Maciej Dołęga. We study a b-deformation of
  monotone Hurwitz numbers\, obtained by deforming Schur functions into Jac
 k symmetric functions. It is a special case of the b-deformed weighted Hur
 witz numbers recently introduced by Dołęga and myself and is related bra
 nched coverings of the sphere by non-oriented surfaces.\n\nWe give an evol
 ution (cut-and-join) equation for the model and we derive\, by a method of
  independent interest\, explicit Virasoro constraints from it\, for arbitr
 ary values of the deformation parameter b. For b=1 the model is related to
  the (large) BKP hierarchy and an O(N) version of the BGW integral. The ta
 lk will not assume previous knowledge\, I will try in particular to explai
 n where the interest of combinatorialists for these deformations come from
 \, and in particular the Goulden-Jackson b-conjecture.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/24/
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