Séminaire Arithmétique et Géométrie Algébrique
Cohomology of Higgs moduli via positive characteristic -- ANNULÉ/CANCELED
June 2022
Intervenant : Mark Andrea de Cataldo
Institution : Stony Brook University
Heure : 14h00 - 15h00
Lieu : 3L15

I will review the P=W Conjecture relating the singular cohomology of the moduli space of Higgs bundles on a curve with the one of the corresponding character variety. I will then explain how certain symmetries of this cohomology, which are predictions of the P=W Conjecture, can be constructed using techniques from non-abelian Hodge theory in positive characteristic. Based on joint work with Davesh Maulik, Junliang Shen, and Siqing Zhang.

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