Ordinary representations and companion points for U(3) in the indecomposable case

Abstract

We prove that certain p-adic Banach representations, associated to local ordinary Galois representations, constructed by Breuil and Herzig appears in the completed cohomology of a definite unitary group in three variables. This confirms part of their conjecture. Our main technique is making use of p-adic automorphic forms for definite unitary groups and the eigenvarieties which parameterize them.

40 pages, comments welcome

Cited by in corpus (1)

• p-adic Jacquet-Langlands correspondence and patching