Séminaire Arithmétique et Géométrie Algébrique
Cohomology of Higgs moduli via positive characteristic -- ANNULÉ/CANCELED
28
juin 2022
juin 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.