Status  Confirmed 
Seminar Series  IPHTPHM 
Subjects  mathph 
Date  Thursday 21 December 2017 
Time  11:00 
Institute  IPHT 
Seminar Room  Salle Claude Itzykson, Bât. 774 
Speaker's Last Name  Gaëtan Borot 
Speaker's First Name  
Speaker's Email Address  
Speaker's Institution  Max Plank Bonn 
Title  Geometric recursion 
Abstract  I will present a new formalism, which takes as input a functor $E$ from a category of surfaces with their mapping classes as morphisms, to a category of topological vector spaces, together with glueing operations, as well as a small amount of initial data, and produces as output functorial assignments $S \mapsto \Omega_S$ in $E(S)$. This construction is done by summing over all excisions of homotopy class of pair of pants decompositions of $S$, and we call it ``geometric recursion''. The topological recursion of Eynard and Orantin appears as a projection of the geometric recursion when $E(S)$ is chosen to be the space of continuous functions over the Teichmuller space of $S$, valued in a Frobenius algebra  and the projection goes via integration over the moduli space. More generally, the geometric recursion aims at producing all kinds of mapping class group invariant quantities attached to surfaces. \\ \\ This is based on joint work with J.E. Andersen and N. Orantin. 
arXiv Preprint Number  
Comments  
Attachments 
To Generate a poster for this seminar : [ Postscript  PDF ]

[ English version ] 