Abstract
In this paper, we introduce two conjectures on characterizations of endoscopy structures of irreducible generic cuspidal automorphic representations of odd special orthogonal groups in terms of nonvanishing of certain period of automorphic forms. We discuss a relation between the two conjectures and prove that a special case of Conjecture 1 (and hence Conjecture 2) is true.
Citation
David Ginzburg. Dihua Jiang. "Some conjectures on endoscopic representations in odd orthogonal groups." Nagoya Math. J. 208 145 - 170, December 2012. https://doi.org/10.1215/00277630-1815231
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