Geodesic
On Endoscopic $p$-Adic Automorphic Forms for $\mathrm{SL}_2$
Documenta mathematica, Tome 23 (2018), pp. 383-406.

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

We show the existence of some non-classical cohomological $p$-adic automorphic eigenforms for $\mathrm{SL}_2$ using endoscopy and the geometry of eigenvarieties. These forms seem to account for some non-automorphic members of classical global $L$-packets.
Classification : 11F85, 11F12, 14G22
Keywords: endoscopy, eigenvarieties, completed cohomology 
@article{DOCMA_2018__23__a50,
     author = {Ludwig, Judith},
     title = {On {Endoscopic} $p${-Adic} {Automorphic} {Forms} for $\mathrm{SL}_2$},
     journal = {Documenta mathematica},
     pages = {383--406},
     publisher = {mathdoc},
     volume = {23},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2018__23__a50/}
}
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Ludwig, Judith. On Endoscopic $p$-Adic Automorphic Forms for $\mathrm{SL}_2$. Documenta mathematica, Tome 23 (2018), pp. 383-406. http://geodesic.mathdoc.fr/item/DOCMA_2018__23__a50/