BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Topological recursion\, enumerative geometry and mirror symmetry
DTSTART:20160223T151500
DTEND:20160223T170000
DTSTAMP:20260407T175721Z
UID:b19739f5dc0e35ed4a60c7b5aab4f0b529e493e2f8e5a89bfb5ddd37
CATEGORIES:Conferences - Seminars
DESCRIPTION:Nicolas Orantin (EPFL)\nThe topological recursion method is a 
 formalism developed in the context of random matrix theories in order to s
 olve an associated  problem of combinatorics consisting in the enumeratio
 n of discrete surfaces. This inductive procedure allows to enumerate such 
 surfaces of arbitrary topology out of the genus 0 data. This theory has fu
 rther been formalized out of the context of random matrices and mysterious
 ly solved many problems of enumerative geometry using a universal inductiv
 e procedure.\nIn the first part of this talk\, which only uses elementary 
 combinatorics\, I will present this topological recursion procedure in a s
 imple example consisting in the enumeration of dessins d'enfants\, i.e. th
 e enumeration of clean Belyi maps.\nIn addition\, I will present some of t
 he applications of the general formalism such as the enumeration of simple
  Hurwitz covers of the sphere\, the computation of Gromov-Witten invariant
 s of Toric Calabi-Yau threefolds or of the Weil-Petersson volume of the mo
 duli space of Riemann surfaces.\nIn the second part of the talk\, using th
 e formalism of Frobenius manifolds\, I will explain how the topological re
 cursion formalism is a generalization of Givental\\Teleman's theory. This 
 point of view should make clear the relation between the topological recur
 sion\, mirror symmetry and the theory of vanishing cycles. As an applicati
 on\, I will show how this provides us with an effective method for computi
 ng the Gromov-Witten invariants of projective spaces through the study of 
 their mirror Landau-Ginzburg model.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR