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arXiv · 1405.3026

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

John Bergdall·Przemyslaw Chojecki
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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.

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John Bergdall, Przemyslaw Chojecki. 2014-05-13. Ordinary representations and companion points for U(3) in the indecomposable case. https://arxiv.org/abs/1405.3026

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