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

被引：12

作者：

Newton, James ^{[1
]}

机构：

[1] Univ Cambridge, Ctr Math Sci, DPMMS, Cambridge CB3 0WA, England

来源：

MATHEMATISCHE ANNALEN | 2013年 / 355卷 / 02期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

REDUCTIVE GROUPS; REPRESENTATIONS; CONJECTURE;

D O I：

10.1007/s00208-012-0796-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：729 / 763

页数：35

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