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.

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