Theta correspondence and Arthur packets: on the Adams conjecture

Abstract

The Adams conjecture predicts that the local theta correspondence should respect Arthur packets. In this paper, we revisit the Adams conjecture for the symplectic--even orthogonal dual pair. Our results provide a precise description of all situations in which the conjecture holds.

arXiv commentThis is an updated version of the paper, including streamlined proofs, some minor corrections, and better explanations in section 7.3