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.

引用

页码：1301 / 1358

页数：58

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