Topological recursion and the geometry of twisted Hitchin systems

Abstract

Recent work has been done to relate ideas between topological recursion and Higgs bundles, such as studying the relationship between topological recursion and the geometry of the moduli space of Higgs bundles, and the relationship between quantum curves and quantization. In this talk I will discuss my current work, exploring these ideas in in a more general, twisted setting where the coefficient line bundle of the Higgs field is arbitrary.