The local converse theorem for SO(2n+1) and applications

Dihua Jiang, David Soudry

Research output: Contribution to journalArticlepeer-review

69 Scopus citations

Abstract

In this paper we characterize irreducible generic representations of SO2n+1(k) (where k is a p-adic field) by means of twisted local gamma factors (the Local Converse Theorem). As applications, we prove that two irreducible generic cuspidal automorphic representations of SO2n+1(A) (where A is the ring of adeles of a number field) are equivalent if their local components are equivalent at almost all local places (the Rigidity Theorem); and prove the Local Langlands Reciprocity Conjecture for generic supercuspidal representations of SO2n+1(k).

Original languageEnglish (US)
Pages (from-to)743-806
Number of pages64
JournalAnnals of Mathematics
Volume157
Issue number3
DOIs
StatePublished - May 2003

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