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arXiv · 1406.1828

Strong local-global compatibility in the p-adic Langlands program for U(2)

Przemyslaw Chojecki·Claus Sorensen
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Abstract

We prove that certain Galois-isotypic parts of the completed cohomology group for U(2) can be written as a completed tensor product of a representation coming from the p-adic Langlands correspondence for $GL_2(\mathbb{Q}_p)$ and a representation arising via the local Langlands correspondence in famillies of Emerton and Helm.

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Przemyslaw Chojecki, Claus Sorensen. 2014-06-06. Strong local-global compatibility in the p-adic Langlands program for U(2). https://arxiv.org/abs/1406.1828

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