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

Zhiyou Wu

doi:10.4171/dm/855

JournalsdmVol. 26pp. 1771–1798

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

Zhiyou Wu
Beijing International Center for Mathematical Research, Peking University, No. 5 Yiheyuan Road Haidian District, Beijing, China 100871

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

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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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Zhiyou Wu, Galois representations, $(φ, Γ)$ -modules and prismatic F-crystals. Doc. Math. 26 (2021), pp. 1771–1798

DOI 10.4171/DM/855