| 研究課題/領域番号 |
21K13765
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| 研究機関 | 埼玉大学 |
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研究代表者 |
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| 研究期間 (年度) |
2021-04-01 – 2026-03-31
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| キーワード | 志村多様体 / Gジップのスタック / 保型形式 / 簡約群 |
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| 研究実績の概要 |
In the fiscal year 2021, I published the following paper: "Automorphic vector bundles on the stack of G-Zips (with Naoki Imai), Forum Math. Sigma 9 (2021), Paper No. e37, 31 pp."
I also finished and submitted for publication the following manuscript: "Partial Hasse invariants for Shimura varieties of Hodge-type (with Naoki Imai)."
I also completed two other papers, in collaboration with Naoki Imai and Wushi Goldring, that will be submitted soon for publication.
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
I started several collaborative projects on the topic of automorphic forms on the stack of G-zips, with collaborators Naoki Imai and Wushi Goldring. These projects have materialized into publications, submitted papers and preprints.
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| 今後の研究の推進方策 |
In the near future, I would like to complete two manuscripts on the topic of automorphic forms in characteristic p in collaboration with Naoki Imai and Wushi Goldring. I expect that we will be able to submit these papers in the course of 2022.
I am also planning to start a new project on the Tate conjecture with Ambrus Pal from Imperial College London.
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| 次年度使用額が生じた理由 |
I plan to purchase a laptop (16インチMacBook Pro) for research purposes. Also, I am planning a research trip to Niseko for the conference “L-functions and Motives in Niseko 2022".
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