On automorphy of certain Galois representations of GO4-type

被引：6
|
作者：
Liu, Tong [1 ]
Yu, Jiu-Kang [2 ]
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
[2] Chinese Univ Hong Kong, Wu Yee Sun Coll, Shatin, Hong Kong, Peoples R China
来源：
JOURNAL OF NUMBER THEORY | 2016年 / 161卷
基金：
美国国家科学基金会;
关键词：
Galois representations; Automorphy; CONJECTURE; MODULARITY; FORMS;
D O I：
10.1016/j.jnt.2014.12.017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let rho : Gal((Q) over bar /Q) -> GO(4)((Q) over bar (p)) be a continuous representation. We prove (potential) automorphy theorems for certain types of rho. Our results include several cases in which the Hodge-Tate weights are irregular. Finally, we prove (potential) automorphy for certain compatible systems of representations of GO(4)-type, which includes certain compatible systems constructed from Scholl motives. (C) 2015 Elsevier Inc. All rights reserved.
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页码：49 / 74
页数：26
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