Seminar by Gaëtan Borot (MPI, Bonn)

Title: Meromorphic connections on the sphere, loop equations and topological recursion

2014.12.11 | Maja Malmdorf Andersen

Date Thu 18 Dec
Time 14:15 15:15
Location 1531-113 (Aud. D1)

Abstract: Starting with a basis of covariantly constant sections of a meromorphic connection on the Riemann sphere, I will describe the construction of correlators that solve loop equations. It can be seen as a tool to study the all-order WKB expansion. When this expansion is "of topological type", it can fully described in terms of the topological recursion of Eynard and Orantin. I will give illustration with integrable equations related to the (p,q) minimal models of CFT. 
This is based on a joint work with Bergere and Eynard.