Completed cohomology of Shimura curves and a p-adic Jacquet-Langlands correspondence.

Autor:	Newton, James
Zdroj:	Mathematische Annalen; Feb2013, Vol. 355 Issue 2, p729-763, 35p
Abstrakt:	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. We also study the (tame) levels of p-adic automorphic forms on these quaternion algebras and give an analogue of Mazur's 'level lowering' principle. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink