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Cohomology of the moduli of Higgs bundles via positive characteristic

January 26, 2022 @ 9:30 am - 8:30 pm

Abstract: 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.


January 26, 2022
9:30 am - 8:30 pm
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