代数学コロキウム
過去の記録 ~06/30|次回の予定|今後の予定 07/01~
開催情報 | 水曜日 17:00~18:00 数理科学研究科棟(駒場) 117号室 |
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担当者 | 今井 直毅,ケリー シェーン |
次回の予定
2025年07月02日(水)
17:00-18:00 数理科学研究科棟(駒場) 117号室
藤井天守 氏 (東京大学大学院数理科学研究科)
Parametrization of supercuspidal representations of depth-zero for some simple adjoint groups (日本語)
藤井天守 氏 (東京大学大学院数理科学研究科)
Parametrization of supercuspidal representations of depth-zero for some simple adjoint groups (日本語)
[ 講演概要 ]
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.