Harvard-CUHK-YMSC Differential Geometry Seminar : Cohomology of the moduli of Higgs bundles via positive characteristic

Name: Harvard-CUHK-YMSC Differential Geometry Seminar : Cohomology of the moduli of Higgs bundles via positive characteristic
Start: 2022-01-25T20:30:00-05:00
End: 2022-01-25T21:30:00-05:00
Location: Virtually

When: January 25, 2022

8:30 pm - 9:30 pm

Where: Virtually

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/99708889880

(Meeting ID: 997 0888 9880; Passcode: 20220126)