Geodesic
On Endoscopic $p$-Adic Automorphic Forms for $\mathrm{SL}_2$
Documenta mathematica, Tome 23 (2018), pp. 383-406
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We show the existence of some non-classical cohomological p-adic automorphic eigenforms for SL2​ using endoscopy and the geometry of eigenvarieties. These forms seem to account for some non-automorphic members of classical global L-packets.
DOI : 10.4171/dm/622
Classification : 11F12, 11F85, 14G22
Mots-clés : endoscopy, eigenvarieties, completed cohomology 
@article{10_4171_dm_622,
     author = {Judith Ludwig},
     title = {On {Endoscopic} $p${-Adic} {Automorphic} {Forms} for $\mathrm{SL}_2$},
     journal = {Documenta mathematica},
     pages = {383--406},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/622},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/622/}
}
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Judith Ludwig. On Endoscopic $p$-Adic Automorphic Forms for $\mathrm{SL}_2$. Documenta mathematica, Tome 23 (2018), pp. 383-406. doi: 10.4171/dm/622

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