The weak generic Arthur packet conjecture for GSpin groups
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.
Sources & referencesView supporting material
Primary source
Yeansu Kim, “Langlands-Shahidi L-functions for GSpin groups and the generic Arthur packet conjecture”, arXiv:1507.07156 (2017).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.