Topological recursion and twisted Higgs bundles

開催日時
2024/06/24 月 15:00 - 16:30
場所
6号館609号室
講演者
Christopher Mahadeo
講演者所属
University of Illinois Chicago
概要

(いつもと違う曜日に行います.ご注意ください)
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.