Time: 4:30 PM - 5:30 PM

Speaker: Haoyang Guo (University of Minnesota)

Title: 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, and explain its potential application to p-adic local systems.