On Wave Front Sets of Global Arthur Packets of Classical Groups: Upper Bound

Abstract

We prove a conjecture of the first-named author ([J14]) on the upper bound Fourier coefficients of automorphic forms in Arthur packets of all classical groups over any number field. This conjecture generalizes the global version of the local tempered $L$-packet conjecture of F. Shahidi ([Sh90] and [Sh10]).

49 pages. Comments are welcome. arXiv admin note: text overlap with arXiv:1309.6239

References in corpus (2)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• On top Fourier coefficients of certain automorphic representations of GLn