Some conjectures on endoscopic representations in odd orthogonal groups

David Ginzburg, Dihua Jiang

Research output: Contribution to journalArticle

2 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)145-170
Number of pages26
JournalNagoya Mathematical Journal
Volume208
DOIs
StatePublished - Dec 1 2012

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