A primitive purity theorem for Frobenius modules

Abstract: In p-adic Hodge theory, a fundamental observation of Breuil and Kisin is that some Galois representations over p-adic integers give rise to interesting integral linear-algebraic data, where the latter nowadays are called Breuil--Kisin modules. The notion naturally generalizes to modules with Frobenius structures over a more general base, thanks to the prismatic cohomology introduced by Bhatt and Scholze. In this talk, we show that Frobenius modules over a regular ring admit a primitive purity theorem, explain its applications to p-adic local systems, and give some new observations on the purity (and its failure) for p-divisible groups.

algebraic geometrynumber theory

Audience: researchers in the discipline

MIT number theory seminar

Series comments: To receive announcements by email, add yourself to the nt mailing list.

Past semesters