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Genericity and contragredience in the local Langlands correspondence
Genericity contragredience local Langlands correspondence Representation Theory Number Theory
2012/4/17
Recently Adams and Vogan made a conjecture about the behavior of the local Langlands correspondence with respect to taking the contragredient of a representation. We prove this conjecture for the temp...
A congruence property of the local Langlands correspondence
Simple type modular local Langlands correspondence effective local Langlands correspondence Number Theory
2011/9/2
Abstract: Let $F$ be a non-Archimedean local field of residual characteristic $p$, and $\ell$ a prime number, $\ell \neq p$. We consider the Langlands correspondence, between irreducible, $n$-dimensio...
Completed cohomology of Shimura curves and a p-adic Jacquet-Langlands correspondence
Shimura curves p-adic Jacquet-Langlands correspondence Number Theory
2011/8/25
Abstract: We study indefinite quaternion algebras over totally real fields F, and give an example of a cohomological construction of p-adic Jacquet-Langlands functoriality using completed cohomology. ...
Representation Theory over Tropical Semifield and Langlands Correspondence
Representation Theory Tropical Semifield Langlands Correspondence
2010/11/18
Previously a class of infinite-dimensional integral representations of the classical gl_{\ell+1}-Whittaker functions and local Archimedean local L-factors was constructed using two-dimensional topolo...