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SUMMARY:Maxim Kazarian (HSE & Skoltech)
DTSTART:20211008T080000Z
DTEND:20211008T090000Z
DTSTAMP:20260423T024538Z
UID:CGP-MP/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/16/">
 Topological recursion for generalized Hurwitz numbers</a>\nby Maxim Kazari
 an (HSE & Skoltech) as part of IBS-CGP Mathematical Physics Seminar\n\n\nA
 bstract\nThe topological recursion or Chekhov-Eunard-Orantin recursion is 
 an inductive procedure for an explicit computation of correlator functions
  appearing in a large number of problems in mathematical physics\, from ma
 trix integrals and Gromov-Witten invariants to enumerations of maps and me
 romorphic functions with prescribed singularities. In spite of existence o
 f a huge number of known cases where this procedure does work\, its validi
 ty and universality still remains mysterious in much extend.\n \nWe develo
 p a new tool based on the theory of KP hierarchy that allows one not only 
 formally prove it in a unified way for a wide class of problems but also t
 o understand its true nature and the origin. These problems include enumer
 ation various kinds of Hurwitz numbers: ordinary ones\, orbifold\, double\
 , monotone\, r-spin Hurwitz numbers\, as well as enumeration of (hyper) ma
 ps and extends much beyond. The talk is based on a joint work with B.Bychk
 ov\, P.Dunin-Barkowski\, S.Shadrin.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/16/
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