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過去の記録 ～12/01｜次回の予定｜今後の予定 12/02～
| 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
2025年12月03日(水)
17:00-18:00 数理科学研究科棟(駒場) 117号室
渡邉敬人 氏 (東京大学大学院数理科学研究科)
On p-adic Galois representations of monomial fields and p-adic differential modules on fake annuli
渡邉敬人 氏 (東京大学大学院数理科学研究科)
On p-adic Galois representations of monomial fields and p-adic differential modules on fake annuli
[ 講演概要 ]
The fake annuli introduced by Kedlaya are certain one-dimensional subannuli of p-adic polyannuli with multiple derivations. They are related to monomial fields, which are generalizations of Laurent series fields over fields of characteristic p. We compare the arithmetic and differential Swan conductors of rank one p-adic Galois representations of monomial fields with finite local monodromy. We also introduce a p-adic counterpart of monomial fields and explain generalizations of classical results to this setting, such as the overconvergence of p-adic Galois representations, and Berger’s construction of p-adic differential modules from de Rham ones.
The fake annuli introduced by Kedlaya are certain one-dimensional subannuli of p-adic polyannuli with multiple derivations. They are related to monomial fields, which are generalizations of Laurent series fields over fields of characteristic p. We compare the arithmetic and differential Swan conductors of rank one p-adic Galois representations of monomial fields with finite local monodromy. We also introduce a p-adic counterpart of monomial fields and explain generalizations of classical results to this setting, such as the overconvergence of p-adic Galois representations, and Berger’s construction of p-adic differential modules from de Rham ones.
