Galois representations, $(\phi ,\Gamma )$-modules and prismatic F-crystals

Abstract

We prove that both local Galois representations and $(\phi ,\Gamma )$-modules can be recovered from prismatic F-crystals, from which we obtain a new proof of the equivalence of Galois representations and $(\phi ,\Gamma )$-modules.

arXiv commentCorrect the definition of A_K^+; minor modifications of the proof

References in corpus (2)

• Relative p-adic Hodge theory: Foundations
• Foundations for almost ring theory -- Release 7.5

Cited by in corpus (2)

• Relative $(\phi ,\Gamma )$-modules and prismatic $F$-crystals
• A prismatic approach to $(\phi ,\hat{G})$-modules and $F$-crystals