GTM seminar

Speaker: Todor Milanov (Kavli IPMU)
Title: The Eynard--Orantin recursion for simple singularities
Date (JST): Thu, Mar 12, 2015, 15:30 - 17:00
Place: Seminar Room A
Abstract: The Eynard--Orantin (EO) recursion is a surprisingly simple tool to compute correlator forms in several quite important quantum field theory models. It depends only on a branched covering of the projective line, called spectral curve. It was proved recently that the correlators that arise in singularity theory via Saito's theory of primitive forms satisfy local EO recursion. The word "local" refers to the fact that the spectral curve is a disjoint union of disks. The problem that arises is to find a global spectral curve. The advantage of having global spectral curve is that we can degenerate it and it is expected that this would give a new approach to the representation theory of W-algebras and integrable systems. In my talk I would like to talk about my recent progress in the case of simple singularities.