MS Seminar (Mathematics - String Theory)

Speaker: Christopher Mahadeo (University of Illinois at Chicago)
Title: Topological recursion and twisted Higgs bundles
Date (JST): Tue, Jun 11, 2024, 13:30 - 15:00
Place: Seminar Room A
Abstract: Prior works relating meromorphic Higgs bundles to topological recursion have considered non-singular models that allow the recursion to be carried out on a smooth Riemann surface. I will discuss some recent work where we define a "twisted topological recursion" on the spectral curve of a twisted Higgs bundle, and show that the g=0 components of the recursion compute the Taylor expansion of the period matrix of the spectral curve, mirroring a result of for ordinary Higgs bundles and topological recursion.