@article{7a9fd3a5499f40fd9fae82a6bebe0573,
title = "MULTIVARIABLE (φ, Γ)-MODULES AND REPRESENTATIONS OF PRODUCTS OF GALOIS GROUPS: THE CASE OF THE IMPERFECT RESIDUE FIELD",
abstract = "Let K be a complete discretely valued field with mixed characteristic (0, p) and imperfect residue field kα. Let Δ be a finite set. We construct an equivalence of categories between finite dimensional Fp-representations of the product of Δ copies of the absolute Galois group of K and multivariable {\'e}tale (φ, Γ)-modules over a multivariable Laurent series ring over kα.",
keywords = "imperfect residue field, p-adic Galois representations, {\'E}tales (φ, Γ)-module",
author = "Jishnu Ray and Feng Wei and Gergely Z{\'a}br{\'a}di",
note = "Publisher Copyright: {\textcopyright} 2021 Soci{\'e}t{\'e} Math{\'e}matique de France.",
year = "2023",
doi = "10.24033/bsmf.2837",
language = "English",
volume = "149",
pages = "521--546",
journal = "Bulletin de la Societe Mathematique de France",
issn = "0037-9484",
publisher = "Societe Mathematique de France",
number = "3",
}