Geodesic
On the automorphic atoms of length 2 of $\mathrm{GL}_2(\mathbb{Q}_p)$
Documenta mathematica, Tome 22 (2017), pp. 777-823
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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 GL2​(Qp​). 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.
DOI : 10.4171/dm/578
Classification : 11F85, 22E50
Mots-clés : p-modular Langlands program, local-global compatibility, extension of principle series 
@article{10_4171_dm_578,
     author = {Stefano Morra},
     title = {On the automorphic atoms of length 2 of $\mathrm{GL}_2(\mathbb{Q}_p)$},
     journal = {Documenta mathematica},
     pages = {777--823},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/578},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/578/}
}
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Stefano Morra. On the automorphic atoms of length 2 of $\mathrm{GL}_2(\mathbb{Q}_p)$. Documenta mathematica, Tome 22 (2017), pp. 777-823. doi: 10.4171/dm/578

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