|Intervenant :||Mark Andrea de Cataldo|
|Institution :||Stony Brook University|
|Heure :||14h00 - 15h00|
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.