Geodesic
Galois representations, $(\varphi, \Gamma)$-modules and prismatic F-crystals
Documenta mathematica, Tome 26 (2021), pp. 1771-1798.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We prove that both local Galois representations and $(\varphi,\Gamma)$-modules can be recovered from prismatic F-crystals, from which we obtain a new proof of the equivalence of Galois representations and $(\varphi,\Gamma)$-modules.
Classification : 11F80, 11S37
Keywords: \(p\)-adic Hodge, prisms 
@article{DOCMA_2021__26__a9,
     author = {Wu, Zhiyou},
     title = {Galois representations, \((\varphi, {\Gamma)\)-modules} and prismatic {F-crystals}},
     journal = {Documenta mathematica},
     pages = {1771--1798},
     publisher = {mathdoc},
     volume = {26},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a9/}
}
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Wu, Zhiyou. Galois representations, \((\varphi, \Gamma)\)-modules and prismatic F-crystals. Documenta mathematica, Tome 26 (2021), pp. 1771-1798. http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a9/