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

ALGEBRAIC GEOMETRY AND NUMBER THEORY SEMINAR

Date: Thursday, October 29, 2020 14:00 - 15:30
Speaker: Davesh Maulik (MIT Mathematics)
Location: https://mathseminars.org/seminar/AGNTISTA
Series: Mathematics and CS Seminar
Host: Tamas Hausel

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 he 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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