Cohomology of the moduli of Higgs bundles and the Hausel-Thaddeus conjecture

Abstract: In this talk, I will discuss some results on the structure of the cohomology of the moduli space of stable SL_n Higgs bundles on a curve. One consequence is a new proof of the Hausel-Thaddeus conjecture proven previously by Groechenig-Wyss-Ziegler via p-adic integration. We will also discuss connections to the P=W conjecture if time permits. Based on joint work with Junliang Shen.

algebraic geometrydifferential geometrymetric geometrysymplectic geometry

Audience: researchers in the topic

Oxford Geometry and Analysis Seminar