ON THE AUTOMORPHIC ATOMS OF LENGTH 2 GL2 (QP)

被引：0

作者：

Morra, Stefano ^{[1
]}

机构：

[1] Univ Montpellier, Lab Montpellierain A Grothendieck, Pl E Bataillon,Cc 051, F-34095 Montpellier 5, France

来源：

DOCUMENTA MATHEMATICA | 2017年 / 22卷

关键词：

p-modular Langlands program; local-global compatibility; Serre weight; extension of principal series; socle filtration; multiplicity one; LOCAL LANGLANDS CORRESPONDENCE; MODULAR-REPRESENTATIONS; SERRES CONJECTURE; GL(2)(Q(P));

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p > 3 be a prime. The aim of this paper is to give a description of the invariant space, under principal and Iwahori congruence subgroups of arbitrary level, of extensions of generic principal series representations appearing in the p-modular local Langlands correspondence for GL(2) (Q(p)). As an application we describe Hecke isotypical components of the mod p cohomology of the modular curve over Q with deeply ramified level at p.

引用

页码：777 / 823

页数：47

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[2]

[Anonymous], 1968, CORPS LOCAUX, VVIII, P245

[3]

Ardakov Kostantin, 2006, DOC MATH, V7-33

[4] IRREDUCIBLE MODULAR-REPRESENTATIONS OF GL2 OF A LOCAL-FIELD [J].