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代数学コロキウム
過去の記録 ～04/29｜次回の予定｜今後の予定 04/30～
| 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 |
2023年04月26日(水)
18:00-19:30 数理科学研究科棟(駒場) 117号室
IHESからの中継、注意：開始時間は通常より1時間遅く
Dustin Clausen 氏 (Institut des Hautes Études Scientifiques)
A Conjectural Reciprocity Law for Realizations of Motives
https://indico.math.cnrs.fr/event/9634/
IHESからの中継、注意：開始時間は通常より1時間遅く
Dustin Clausen 氏 (Institut des Hautes Études Scientifiques)
A Conjectural Reciprocity Law for Realizations of Motives
[ 講演概要 ]
A motive over a scheme S is a bit of linear algebra which is supposed to "universally" capture the cohomology of smooth proper S-schemes. Motives can be studied via various "realizations", which are objects of more concrete linear algebraic categories attached to S. It is known that over certain S, these different realizations are related to one another via comparison isomorphisms, as in Hodge theory. In this talk, I will try to explain that for completely general S, there is a much more subtle kind of relationship between these realizations, which takes a similar form to classical reciprocity laws in number theory.
[ 参考URL ]A motive over a scheme S is a bit of linear algebra which is supposed to "universally" capture the cohomology of smooth proper S-schemes. Motives can be studied via various "realizations", which are objects of more concrete linear algebraic categories attached to S. It is known that over certain S, these different realizations are related to one another via comparison isomorphisms, as in Hodge theory. In this talk, I will try to explain that for completely general S, there is a much more subtle kind of relationship between these realizations, which takes a similar form to classical reciprocity laws in number theory.
https://indico.math.cnrs.fr/event/9634/
