2023 Fiscal Year Research-status Report
Supersymmetry in the geometry of particle systems
| Project/Area Number |
23K12983
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| Research Institution | Hokkaido University |
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Principal Investigator |
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| Project Period (FY) |
2023-04-01 – 2026-03-31
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| Keywords | Schubert calculus / TASEP / integrable system / Grothendieck polynomial / boson-fermion relation |
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| Outline of Annual Research Achievements |
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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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
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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| Strategy for Future Research Activity |
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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| Causes of Carryover |
Help pay for travel expenses.
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