On 2-dimensional 2-adic Galois representations of local and global fields

被引：15
|
作者：
Paskunas, Vytautas [1 ]
机构：
[1] Univ Duisburg Essen, Fak Math, Thea Leymann Str 9, D-45127 Essen, Germany
来源：
ALGEBRA & NUMBER THEORY | 2016年 / 10卷 / 06期
关键词：
p-adic Langlands; Fontaine-Mazur; modularity lifting; MOD P REPRESENTATIONS; MODULAR-REPRESENTATIONS; GL(2)(Q(P)); CONJECTURE; SPACE;
D O I：
10.2140/ant.2016.10.1301
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe the generic blocks in the category of smooth locally admissible mod-2 representations of GL(2) (Q(2)). As an application we obtain new cases of the Breuil-Mezard and Fontaine-Mazur conjectures for 2-dimensional 2-adic Galois representations.
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页码：1301 / 1358
页数：58
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