Geodesic
Sur les Atomes Automorphes de Longueur 2 de $\bold{GL}_2(\bold{Q}_p)$
Documenta mathematica, Tome 22 (2017), pp. 777-823.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 $\bold{GL}_2(\bold{Q}_p)$. As an application we describe Hecke isotypical components of the mod $p$ cohomology of the modular curve over $\bold{Q}$ with deeply ramified level at $p$.
Classification : 22E50, 11F85
Keywords: $p$-modular Langlands program, local-global compatibility, extension of principle series 
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     author = {Morra, Stefano},
     title = {Sur les {Atomes} {Automorphes} de {Longueur} 2 de $\bold{GL}_2(\bold{Q}_p)$},
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Morra, Stefano. Sur les Atomes Automorphes de Longueur 2 de $\bold{GL}_2(\bold{Q}_p)$. Documenta mathematica, Tome 22 (2017), pp. 777-823. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a31/