On endoscopic p-adic automorphic forms for SL(2)

Abstract

We show the existence of some non-classical cohomological p-adic automorphic eigenforms for SL(2) using endoscopy and the geometry of eigenvarieties. These forms seem to account for some non-automorphic members of classical global L-packets.

arXiv comment21 pages

References in corpus (1)

• Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups