Harvard-CUHK-YMSC Differential Geometry Seminar : Cohomology of the moduli of Higgs bundles via positive characteristic
Speaker:
Professor Davesh Maulik - Massachusetts Institute of Technology
In this talk, I will survey the P=W conjecture, which describes certain structures of the cohomology of the moduli space of Higgs bundles on a curve in terms of the character variety of the curve. I will then explain how certain symmetries of this cohomology, which are predictions of this conjecture, can be constructed using techniques from non-abelian Hodge theory in positive characteristic. Based on joint work with Mark de Cataldo, Junliang Shen, and Siqing Zhang.
https://cuhk.zoom.us/j/
(Meeting ID: 997 0888 9880; Passcode: 20220126)