Generalised representations as q-connections in integral p-adic Hodge theory

2020/10/08 by Morrow, Matthew, Tsuji, Takeshi
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2010.04059

Abstract

We relate various approaches to coefficient systems in relative integral p-adic Hodge theory, working in the geometric context over the ring of integers of a perfectoid field. These include small generalised representations over A_inf inspired by Faltings, modules with q-connection in the sense of q-de Rham cohomology, crystals on the prismatic site of Bhatt--Scholze, and q-deformations of Higgs bundles.

Related

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