Galois representations, (φ,Γ)-modules and prismatic F-crystals

Wu, Zhiyou

doi:10.25537/dm.2021v26.1771-1798

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Journal Article

Galois representations, (φ,Γ)-modules and prismatic F-crystals

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Wu, Zhiyou
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.25537/dm.2021v26.1771-1798
(Publisher version)

https://doi.org/10.48550/arXiv.2104.12105
(Preprint)

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Wu_Galois representations, (phi,Gamma)-modules and prismatic F-crystals_2021.pdf
(Publisher version), 284KB

2104.12105.pdf
(Preprint), 445KB

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Citation

Wu, Z. (2021). Galois representations, (φ,Γ)-modules and prismatic F-crystals. Documenta Mathematica, 26, 1771-1798. doi:10.25537/dm.2021v26.1771-1798.

Cite as: https://hdl.handle.net/21.11116/0000-000A-D2EA-1

Abstract

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