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On endoscopic \(p\)-adic automorphic forms for \(\mathrm{SL}_2\) - MaRDI portal

On endoscopic \(p\)-adic automorphic forms for \(\mathrm{SL}_2\) (Q1753329)

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On endoscopic \(p\)-adic automorphic forms for \(\mathrm{SL}_2\)
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    On endoscopic \(p\)-adic automorphic forms for \(\mathrm{SL}_2\) (English)
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    29 May 2018
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    Summary: 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.
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    endoscopy
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    eigenvarieties
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    completed cohomology
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