Overconvergent Lubin-Tate (ϕ, Γ)-modules for different uniformizers

2021/06/30 by Yuta Saito, Saito, Yuta
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.2106.16005

12pages

arxiv created 2021/06/30 · arxiv updated 2021/07/01

Abstract

Let F be a non-archimedean local field. The construction of Lubin-Tate (ϕ_q, Γ)-modules attached to p-adic representations of G_F depends on the choice of a uniformizer of F. In this paper, we give a description of a functor which relates categories of overconvergent Lubin-Tate (ϕ_q, Γ)-modules for different uniformizers. Further, we study this functor more explicitly for 2-dimensional trianguline representations.

Related

• Induction and restriction of (ϕ,Γ)-modules
• Lubin-Tate theory and overconvergent Hilbert modular forms of low weight
• Compairing categories of Lubin-Tate (φ_L,Γ_L)-modules
• Théorie locale du corps de classes et (φ,Γ)-modules Lubin-Tate
• Rigid character groups, Lubin-Tate theory, and (φ,Γ)-modules