English

Overconvergent Lubin-Tate $(\phi, \Gamma)$-modules for different uniformizers

Number Theory 2021-07-01 v1

Abstract

Let F be a non-archimedean local field. The construction of Lubin-Tate (ϕq,Γ)(\phi_q, \Gamma)-modules attached to p-adic representations of GFG_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 (ϕq,Γ)(\phi_q, \Gamma)-modules for different uniformizers. Further, we study this functor more explicitly for 2-dimensional trianguline representations.

Keywords

Cite

@article{arxiv.2106.16005,
  title  = {Overconvergent Lubin-Tate $(\phi, \Gamma)$-modules for different uniformizers},
  author = {Yuta Saito},
  journal= {arXiv preprint arXiv:2106.16005},
  year   = {2021}
}

Comments

12pages

R2 v1 2026-06-24T03:45:43.118Z