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

9 November 2020
Davesh Maulik

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.

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  • Geometry and Analysis Seminar