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math.NT2014★ 1 cited
The local Langlands correspondence in families and Ihara's lemma for U(n)
Claus Sorensen
The goal of this paper is to reformulate the conjectural "Ihara lemma" for in terms of the local Langlands correspondence in families , as currently being…
math.NT2014
Strong local-global compatibility in the p-adic Langlands program for U(2)
Przemyslaw Chojecki, Claus Sorensen
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 Langl…