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：
美国国家科学基金会; 英国工程与自然科学研究理事会;
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
收藏
页码：729 / 763
页数：35
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