| 研究課題/領域番号 |
23K12983
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| 研究種目 |
若手研究
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| 配分区分 | 基金 |
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| 審査区分 |
小区分12010:基礎解析学関連
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| 研究機関 | 北海道大学 |
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研究代表者 |
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| 研究期間 (年度) |
2023-04-01 – 2026-03-31
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| 研究課題ステータス |
交付 (2023年度)
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| 配分額 *注記 |
4,550千円 (直接経費: 3,500千円、間接経費: 1,050千円)
2025年度: 1,170千円 (直接経費: 900千円、間接経費: 270千円)
2024年度: 1,430千円 (直接経費: 1,100千円、間接経費: 330千円)
2023年度: 1,950千円 (直接経費: 1,500千円、間接経費: 450千円)
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| キーワード | Schubert calculus / TASEP / integrable system / Grothendieck polynomial / boson-fermion relation / Lie superalgebra |
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| 研究開始時の研究の概要 |
We will expand upon a recent connection found between probability theory, geometry, and mathematical physics. We will examine the class of half-space particle systems and its relationship with the K-theory rings of the Lagrangian and orthogonal Grassmannian.
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| 研究実績の概要 |
Posted the preprint (arXiv: 2311.01116) that provided the main link for this project. Gave presentations at multiple international conferences and seminars in America, India, France, Germany, Australia, and Spain about results related to this project. Visited international researchers in France, Sweden, Austria, Australia, Germany, Spain, South Korea, and America -- as well as domestic researchers in Tokyo, Osaka, and Kyoto -- to discuss research related to this project. A number of these discussions are expected to lead to further preprints appearing in FY2024 that will result in publications in top-tier international journals. Hosted international visitors to have discussions and to give seminars related to this project.
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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
The results in this project are being produced at the expected rate due to the ability to have meetings with various researchers in Japan and internationally. In addition, there are further forthcoming results related to this project that were not initially expected and are currently being developed. It is not expected that completing these complementary results will have a major impact on the timeline of achieving the main goal of this project.
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| 今後の研究の推進方策 |
This upcoming year, I will be part of the organizing committee of a large international conference (over 200 participants). As part of this conference, I will interact with numerous researchers to discuss aspects of this project. I expect to produce at least 4 preprints in FY2024 related to this project, which I will then disseminate the results at conferences and seminars. By doing so, further results and connections can be made, which will further enhance the outcomes of this project. There are currently no plans to change the research plan.
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