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

Abstract

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

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