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SUMMARY:The DR-DZ equivalence
DTSTART:20251209T101500Z
DTEND:20251209T111500Z
DTSTAMP:20260424T050700Z
UID:indico-event-15405@indico.math.cnrs.fr
DESCRIPTION:Speakers: Xavier Blot\n\nA central problem in enumerative geom
 etry\, motivated by string theory\, is the computation of the Gromov–Wit
 ten invariants of a target variety X. In 1990\, Witten’s conjecture\, pr
 oved by Kontsevich one year later\, stated that the Gromov–Witten invari
 ants for a target variety reduced to a point are governed by the KdV hiera
 rchy. The aim of this talk is to explain how the DR–DZ conjecture\, whic
 h we have recently established\, makes it possible to generalize this resu
 lt by constructing an integrable hierarchy that governs the Gromov–Witte
 n invariants of any smooth projective variety X (and\, more generally\, th
 e potential of any cohomological field theory).\nThis talk will be introdu
 ctory: we shall recall Witten’s conjecture before presenting the general
  problem that we have resolved.\nThis is based on joint works with Danilo 
 Lewanski\, Adrien Sauvaget and Sergey Shadrin.\n\nhttps://indico.math.cnrs
 .fr/event/15405/
LOCATION:1R2-207
URL:https://indico.math.cnrs.fr/event/15405/
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