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代数学コロキウム
過去の記録 ～01/24｜次回の予定｜今後の予定 01/25～
| 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 |
2024年02月21日(水)
17:00-18:00 数理科学研究科棟(駒場) 117号室
Jens Niklas Eberhardt 氏 (University of Bonn)
K-motives and Local Langlands (English)
Jens Niklas Eberhardt 氏 (University of Bonn)
K-motives and Local Langlands (English)
[ 講演概要 ]
In this talk, we construct a geometric realisation of the category of representations of the affine Hecke algebra. For this, we introduce a formalism of K-theoretic sheaves (called K-motives) on stacks. The affine Hecke algebra arises from the K-theory of the Steinberg stack, and we explain how to “category” using K-motives.
Lastly, we briefly discuss the relation to the local Langlands program.
In this talk, we construct a geometric realisation of the category of representations of the affine Hecke algebra. For this, we introduce a formalism of K-theoretic sheaves (called K-motives) on stacks. The affine Hecke algebra arises from the K-theory of the Steinberg stack, and we explain how to “category” using K-motives.
Lastly, we briefly discuss the relation to the local Langlands program.
