Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects math.AG
Date Thursday 26 September 2019
Time 11:00
Institute LPTHE
Seminar Room bibliothèque du LPTHE, tour 13-14, 4eme étage
Speaker's Last Name Eynard
Speaker's First Name Bertrand
Speaker's Email Address eynard [at] ihes [dot] fr
Speaker's Institution IPHT Saclay, IHES Bures sur Yvette, CRM Montreal
Title Topological recursion: from spectral curve to conformal blocks
Abstract Topological recursion, takes as inpout data a "spectral curve" S (ex: an algebraic equation P(x,y)=0 with P a polynomial, but can be more general), and associates to it an infinite sequence of differential n-forms W_{g,n}(S), called the invariants of the spectral curve. The scalar invariants n=0 are often denoted F_g(S)=W_{g,0}(S). Many invariants of enumerative geometry are special cases of these, like Gromov-Witten invariants, Hurwitz numbers,... The formal series of scalar invariants is formally like a Tau-function $\Tau(S)=exp{\sum_g F_g(S)}$, and has OPE and Ward indentities that enables to interpret them as heavy limit asymptotic expansion of conformal blocks in a 2dCFT on a surface. We shall make a short presentation of the topological recursion, and its application to Mirzakhani's recursion, and to Liouville 2dCFT.
arXiv Preprint Number

To Generate a poster for this seminar : [ Postscript | PDF ]

[ Annonces ]    [ Abonnements ]    [ Archive ]    [ Aide ]    [ ]
[ English version ]