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