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Number Theory Seminar
Seminar information archive ～09/13｜Next seminar｜Future seminars 09/14～
| Date, time & place | Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Naoki Imai, Shane Kelly |
2023/06/28
17:00-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)
Yuta Nakayama (University of Tokyo)
The integral models of the RSZ Shimura varieties (日本語)
Yuta Nakayama (University of Tokyo)
The integral models of the RSZ Shimura varieties (日本語)
[ Abstract ]
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.
