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代数学コロキウム
過去の記録 ～05/21｜次回の予定｜今後の予定 05/22～
| 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 |
2025年05月14日(水)
18:10-19:10 数理科学研究科棟(駒場) 117号室
加藤大輝 氏 (IHES)
Bernstein--Sato theory in positive characteristic and unit root nearby cycles.
加藤大輝 氏 (IHES)
Bernstein--Sato theory in positive characteristic and unit root nearby cycles.
[ 講演概要 ]
I will talk about how to formulate (and outline an idea of a proof of) a positive characteristic analogue of the theorem of Kashiwara and Malgrange about the relationship, in characteristic zero, between the Bernstein-Sato polynomial and the eigenvalues of the monodromy action on nearby cycles. It will/is expected to give a cohomological explanation for some of the arithmetic phenomena that will be presented in the talk by Eamon Quinlan. This is a joint work in progress with him and Daichi Takeuchi.
I will talk about how to formulate (and outline an idea of a proof of) a positive characteristic analogue of the theorem of Kashiwara and Malgrange about the relationship, in characteristic zero, between the Bernstein-Sato polynomial and the eigenvalues of the monodromy action on nearby cycles. It will/is expected to give a cohomological explanation for some of the arithmetic phenomena that will be presented in the talk by Eamon Quinlan. This is a joint work in progress with him and Daichi Takeuchi.
