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.

引用

页码：49 / 74

页数：26