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

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

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-D2EA-1 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-F882-8
Genre: Journal Article
Latex : Galois representations, $(\varphi, \Gamma)$-modules and prismatic F-crystals

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Wu_Galois representations, (phi,Gamma)-modules and prismatic F-crystals_2021.pdf (Publisher version), 284KB
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https://doi.org/10.25537/dm.2021v26.1771-1798 (Publisher version)
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https://doi.org/10.48550/arXiv.2104.12105 (Preprint)
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 Creators:
Wu, Zhiyou1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 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.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Published online
 Pages: 28
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2104.12105
DOI: 10.25537/dm.2021v26.1771-1798
 Degree: -

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Title: Documenta Mathematica
Source Genre: Journal
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Publ. Info: Deutsche Mathematiker-Vereinigung
Pages: - Volume / Issue: 26 Sequence Number: - Start / End Page: 1771 - 1798 Identifier: -