The weak generic Arthur packet conjecture for GSpin groups
Let be a non-Archimedean local field, let be a quasi-split reductive group over , and let be an Arthur parameter with associated Langlands parameter . Write for the -packet attached to . A representation in an -packet is generic if it has a Whittaker model, and a Langlands parameter is tempered if its image in the dual group is bounded.
Weak generic Arthur packet conjecture. If has a generic member, then the Langlands parameter is tempered.
The conjecture is the converse direction to the tempered -packet conjecture in the setting of Arthur parameters. The paper states that its main theorem proves this weak version for groups, so the claim is solved in that case.
References
Primary source
Yeansu Kim, “Langlands-Shahidi L-functions for GSpin groups and the generic Arthur packet conjecture”, arXiv:1507.07156 (2017).
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