Orateur
Takeshi Tsuji
(The University of Tokyo)
Description
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 defined over the q-crystalline 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.
