代数学コロキウム

過去の記録 ~07/01次回の予定今後の予定 07/02~

開催情報 水曜日 17:00~18:00 数理科学研究科棟(駒場) 056号室
担当者 今井 直毅, 三枝 洋一

2022年06月15日(水)

17:00-18:00   数理科学研究科棟(駒場) ハイブリッド号室
数理科学研究科所属以外の方は、オンラインでのご参加をお願いいたします。
小泉 淳之介 氏 (東京大学大学院数理科学研究科)
Steinberg symbols and reciprocity sheaves (JAPANESE)
[ 講演概要 ]
The norm residue symbol and the differential symbol are known to satisfy the common relation $(a,1-a)=0$ which is called the Steinberg relation. Hu-Kriz showed that the Steinberg relation can be understood as a relation between certain morphisms in the stable motivic homotopy category. On the other hand, there is also an “additive variant” of the Steinberg relation, namely $(a,a)+(1-a,1-a)=0$, for which the classical motivic theory is no longer applicable. In this talk we will explain how the theory of reciprocity sheaves due to Kahn-Saito-Yamazaki can be utilized to generalize the theory of Hu-Kriz to include the additive Steinberg relation.