代数学コロキウム
過去の記録 ~03/19|次回の予定|今後の予定 03/20~
開催情報 | 水曜日 17:00~18:00 数理科学研究科棟(駒場) 117号室 |
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担当者 | 今井 直毅,ケリー シェーン |
2023年06月28日(水)
17:00-18:00 数理科学研究科棟(駒場) 117号室
中山裕大 氏 (東京大学大学院数理科学研究科)
The integral models of the RSZ Shimura varieties (日本語)
中山裕大 氏 (東京大学大学院数理科学研究科)
The integral models of the RSZ Shimura varieties (日本語)
[ 講演概要 ]
We prove that the integral models of Shimura varieties by Rapoport, Smithling and Zhang proposed to describe variants of the arithmetic Gan–Gross–Prasad conjecture are isomorphic to the models by Pappas and Rapoport. This extends our previous work that compares the former models and the Kisin–Pappas models. We rely on the construction of the models of Pappas and Rapoport, not on their characterization.
We prove that the integral models of Shimura varieties by Rapoport, Smithling and Zhang proposed to describe variants of the arithmetic Gan–Gross–Prasad conjecture are isomorphic to the models by Pappas and Rapoport. This extends our previous work that compares the former models and the Kisin–Pappas models. We rely on the construction of the models of Pappas and Rapoport, not on their characterization.