Extensions of representations of de Rham and locally algebraic vectors

被引：5

作者：

Dospinescu, Gabriel ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, CNRS UMPA, F-69007 Lyon, France

来源：

COMPOSITIO MATHEMATICA | 2015年 / 151卷 / 08期

关键词：

(phi; Gamma)-module; Fontaine theory; p-adic local Langlands correspondence; admissible Banach space representation; CONJECTURE;

D O I：

10.1112/S0010437X14007921

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let II be an irreducible unitary completion of a locally algebraic GL(2) (Q(p))representation. We describe those first-order deformations of II which are themselves completions of a locally algebraic representation. This answers a question of Paskunas and has direct applications to the Breuil-Mezard conjecture.

引用

页码：1462 / 1498

页数：37

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