Families of $p$-adic Galois representations and $(\phi, \Gamma)$-modules

Eugen Hellmann

doi:10.4171/cmh/401

JournalscmhVol. 91, No. 4pp. 721–749

Families of $p$ -adic Galois representations and $(ϕ, Γ)$ -modules

Eugen Hellmann
Universität Bonn, Germany

$Families of $p$-adic Galois representations and $(\phi, \Gamma)$-modules cover$

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Abstract

We investigate the relation between $p$ -adic Galois representations and overconvergent $(ϕ, Γ)$ -modules in families. Especially we construct a natural open subspace of a family of $(ϕ, Γ)$ -modules, over which it is induced by a family of Galois-representations.

Cite this article

Eugen Hellmann, Families of $p$ -adic Galois representations and $(ϕ, Γ)$ -modules. Comment. Math. Helv. 91 (2016), no. 4, pp. 721–749

DOI 10.4171/CMH/401