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Number Theory Seminar
Seminar information archive ～06/30｜Next seminar｜Future seminars 07/01～
| Date, time & place | Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Naoki Imai, Shane Kelly |
2025/07/02
17:00-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)
Amoru Fujii (University of Tokyo)
Parametrization of supercuspidal representations of depth-zero for some simple adjoint groups (日本語)
Amoru Fujii (University of Tokyo)
Parametrization of supercuspidal representations of depth-zero for some simple adjoint groups (日本語)
[ Abstract ]
We construct a surjective map from the set of conjugacy classes of depth-zero enhanced L-parameters to that of isomorphism classes of depth-zero supercuspidal representations for simple adjoint groups, and check the bijectivity in various cases. We also prove that the Hiraga--Ichino--Ikeda conjecture on the formal degree of essentially square-integrable representations holds for this parametrization if it is bijective.
We construct a surjective map from the set of conjugacy classes of depth-zero enhanced L-parameters to that of isomorphism classes of depth-zero supercuspidal representations for simple adjoint groups, and check the bijectivity in various cases. We also prove that the Hiraga--Ichino--Ikeda conjecture on the formal degree of essentially square-integrable representations holds for this parametrization if it is bijective.
