Asymptotics of matrix integrals and topological recursion
Speaker:
Gaetan Borot, Humboldt University of Berlin
Date and Time:
Wednesday, June 15, 2022 - 11:30am to 12:30pm
Location:
Western University
Abstract:
I will explain how itarily invariant matrix models can be solved in a large N (formal or asymptotic) expansion, using Dyson-Schwinger equations. After analytic continuation, these equations can be brought in the form of abstract loop equations, which are particular form of Virasoro constraints attached to spectral curves. The general solution of these equations can be described in terms of topological recursion. We will give a few examples of models which have been treated this way, and if time allows, explain the manifestation of universality when one takes limits of spectral curves. The lectures will also serve as background material for the lectures of Raimar Wulkenhaar.