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代数学コロキウム
過去の記録 ～01/09｜次回の予定｜今後の予定 01/10～
| 開催情報 | 水曜日 17:00～18:00 数理科学研究科棟(駒場) 117号室 |
|---|---|
| 担当者 | 今井 直毅，ケリー シェーン |
次回の予定
2026年01月14日(水)
17:00-18:00 数理科学研究科棟(駒場) 117号室
深山拓郎 氏 (東京大学大学院数理科学研究科)
The number of cuspidal representations over a function field and its behavior under base changes
深山拓郎 氏 (東京大学大学院数理科学研究科)
The number of cuspidal representations over a function field and its behavior under base changes
[ 講演概要 ]
Cuspidal representations of a reductive group are largely determined by their local components. In the function field case, it is important to describe how the number of cuspidal representations with given local conditions changes under base changes. Assuming Arthur's simple trace formula for function fields, this number should be given by the sum of Gross's L-functions attached to some reductive groups. In this talk, I will explain the expression of the sum of L-functions and its behavior under base changes for some classical groups.
Cuspidal representations of a reductive group are largely determined by their local components. In the function field case, it is important to describe how the number of cuspidal representations with given local conditions changes under base changes. Assuming Arthur's simple trace formula for function fields, this number should be given by the sum of Gross's L-functions attached to some reductive groups. In this talk, I will explain the expression of the sum of L-functions and its behavior under base changes for some classical groups.
