The strong generic Arthur packet conjecture for GSpin groups
The strong generic Arthur packet conjecture for GSpin groups
Let be a non-Archimedean local field, let be an Arthur parameter for a group, let be its associated Langlands parameter, and let be the corresponding -packet. An -packet is tempered when all of its members are tempered representations, and a representation is generic when it has a Whittaker model.
Strong generic Arthur packet conjecture. If has a generic member, then is a tempered -packet; equivalently, all members of are tempered.
This strengthens the weak conjecture, which only asserts that the associated Langlands parameter is tempered. The paper states that it establishes this strong version for groups under the new local -function assumption used in the work.
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.