| 研究課題/領域番号 |
15K04793
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| 研究機関 | 上智大学 |
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研究代表者 |
TRIHAN FABIEN 上智大学, 理工学部, 准教授 (60738300)
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| 研究期間 (年度) |
2015-04-01 – 2019-03-31
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| キーワード | Iwasawa / function fields / abelian variety |
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| 研究実績の概要 |
We have obtained results concerning the Geometric Iwasawa Main conjecture in two cases:1) semistable abelian varieties and unramified everywhere p-adic Lie extensions.2)semistable abelian varieties and finite etale extensions. These two results prove the full Geometric Iwasawa Main Conjecture under these assumptions. We hope to generalize our results to general abelian varieties and ramifying extensions. Both papers have received referee reports and we are making the suitable corrections now. A third project is on the way: U operator on the space of oververconvergent Drinfeld modular forms. (Joint work with Prof. Nicole)
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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
We proved already two cases of our main Conjecture and hope to extend our results further on
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| 今後の研究の推進方策 |
We hope to generalize our results to general abelian varieties and ramifying extensions as well as work on the new project with Prof. Nicole.
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| 次年度使用額が生じた理由 |
During the academic year 2017-18 I had heavy teaching duties that did not allow me to travel or consacre so much time to research.
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