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

Abstract

Let F be a non-archimedean local field. The construction of Lubin-Tate $({\varphi }_q,\Gamma )$-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 $({\varphi }_q,\Gamma )$-modules for different uniformizers. Further, we study this functor more explicitly for 2-dimensional trianguline representations.

12pages