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
Contact:
Birgit Oosthuizen-Noczil
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.