Overconvergence of étale (φ,Γ)-modules in families

2022/09/12 by Porat, Gal
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2209.05050

Abstract

We prove a conjecture of Emerton, Gee and Hellmann concerning the overconvergence of étale (φ,Γ)-modules in families parametrized by topologically finite type ℤ_p-algebras. As a consequence, we deduce the existence of a natural map from the rigid fiber of the Emerton-Gee stack to the rigid analytic stack of (φ,Γ)-modules.

Related

• Wach models and overconvergence of étale (φ, Γ)-modules
• Loose crystalline lifts and overconvergence of étale (φ, τ)-modules
• Families of p-adic Galois representations and (phi,Gamma)-modules
• A new method for overconvergence of \((φ,Γ)\)-modules
• Families of Galois representations and (φ, τ)-modules