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.
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页码：777 / 823
页数：47
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