English

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

Number Theory 2024-03-21 v4

Abstract

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

Cite

@article{arxiv.2104.12105,
  title  = {Galois representations, $(\varphi, \Gamma)$-modules and prismatic F-crystals},
  author = {Zhiyou Wu},
  journal= {arXiv preprint arXiv:2104.12105},
  year   = {2024}
}

Comments

Correct the definition of A_K^+; minor modifications of the proof

R2 v1 2026-06-24T01:29:33.950Z