q-Higgs Modules and the Nygaard Filtration
Appears in collection : Journée de géométrie arithmétique en l’honneur de Michel Gros
Similarly to the theory of crystalline cohomology, prismatic crystals and their cohomology over a bounded prism (R,I) are described in terms of q-Higgs modules when (R,I) is defied over the q-crystallin prism, or more generally when R/I contains a primitive pth root of unity. We see how this allows us to understand the isogeny property of Frobenius, the de Rham specialization, and the Nygaard filtration for the prismatic cohomology of a prismatic F-crystal.
