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2023 年度 実施状況報告書

Supersymmetry in the geometry of particle systems

研究課題

研究課題/領域番号 23K12983
研究機関北海道大学

研究代表者

Scrimshaw Travis  北海道大学, 高等教育推進機構, 助教 (30971585)

研究期間 (年度) 2023-04-01 – 2026-03-31
キーワードSchubert calculus / TASEP / integrable system / Grothendieck polynomial / boson-fermion relation
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.

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.

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.

次年度使用額が生じた理由

Help pay for travel expenses.

  • 研究成果

    (17件)

すべて 2024 2023 その他

すべて 国際共同研究 (5件) 雑誌論文 (5件) (うち国際共著 5件、 査読あり 5件、 オープンアクセス 2件) 学会発表 (7件) (うち招待講演 2件)

  • [国際共同研究] Stanford University/University of Illinois Urbana-Champaign(米国)

    • 国名
      米国
    • 外国機関名
      Stanford University/University of Illinois Urbana-Champaign
  • [国際共同研究] St. Petersburg State University/Steklov Mathematical Institute/Inst. for Info. Transmission Problems(ロシア連邦)

    • 国名
      ロシア連邦
    • 外国機関名
      St. Petersburg State University/Steklov Mathematical Institute/Inst. for Info. Transmission Problems
  • [国際共同研究] Seoul National University/POSTECH/Sungkyunkwan University(韓国)

    • 国名
      韓国
    • 外国機関名
      Seoul National University/POSTECH/Sungkyunkwan University
  • [国際共同研究] Yanqi Lake Beijing Inst. Math. Sci.(中国)

    • 国名
      中国
    • 外国機関名
      Yanqi Lake Beijing Inst. Math. Sci.
  • [国際共同研究] Hong Kong Univ. of Sci. and Tech.(香港)

    • 国名
      その他の国・地域
    • 外国機関名
      Hong Kong Univ. of Sci. and Tech.
  • [雑誌論文] Free fermions and canonical Grothendieck polynomials2024

    • 著者名/発表者名
      Iwao Shinsuke、Motegi Kohei、Scrimshaw Travis
    • 雑誌名

      Algebraic Combinatorics

      巻: 7 ページ: 245~274

    • DOI

      10.5802/alco.332

    • 査読あり / オープンアクセス / 国際共著
  • [雑誌論文] Integrable systems and crystals for edge labeled tableaux2024

    • 著者名/発表者名
      Gunna Ajeeth、Scrimshaw Travis
    • 雑誌名

      Journal of Algebra

      巻: 644 ページ: 152~190

    • DOI

      10.1016/j.jalgebra.2023.12.031

    • 査読あり / 国際共著
  • [雑誌論文] Skew Howe duality and limit shapes of Young diagrams2023

    • 著者名/発表者名
      Nazarov Anton、Postnova Olga、Scrimshaw Travis
    • 雑誌名

      Journal of the London Mathematical Society

      巻: 109 ページ: e12813

    • DOI

      10.1112/jlms.12813

    • 査読あり / 国際共著
  • [雑誌論文] On the structure and representation theory of q-deformed Clifford algebras2023

    • 著者名/発表者名
      Aboumrad Willie、Scrimshaw Travis
    • 雑誌名

      Mathematische Zeitschrift

      巻: 306 ページ: article 10

    • DOI

      10.1007/s00209-023-03402-7

    • 査読あり / 国際共著
  • [雑誌論文] Cellular subalgebras of the partition algebra2023

    • 著者名/発表者名
      Scrimshaw Travis
    • 雑誌名

      Journal of Combinatorial Algebra

      巻: 8 ページ: 147~207

    • DOI

      10.4171/JCA/84

    • 査読あり / オープンアクセス / 国際共著
  • [学会発表] An Overview of Kirillov-Reshtikhin Modules and Crystals2024

    • 著者名/発表者名
      Travis Scrimshaw
    • 学会等名
      OIST Math Seminar
  • [学会発表] Geometry transitioning to particle systems2024

    • 著者名/発表者名
      Travis Scrimshaw
    • 学会等名
      University of Strassbourg Math Seminar
  • [学会発表] Introduction to Cellular Algebras2024

    • 著者名/発表者名
      Travis Scrimshaw
    • 学会等名
      York University Math Seminar
    • 招待講演
  • [学会発表] Shifted key polynomials2024

    • 著者名/発表者名
      Travis Scrimshaw
    • 学会等名
      Zaragoza University Math Seminar
    • 招待講演
  • [学会発表] Limit shapes for skew Howe duality2023

    • 著者名/発表者名
      Dan Betea, Travis Scrimshaw and Anton Nazarov
    • 学会等名
      35th Formal Power Series and Algebraic Combinatorics
  • [学会発表] Shifted key polynomials2023

    • 著者名/発表者名
      Eric Marberg and Travis Scrimshaw
    • 学会等名
      35th Formal Power Series and Algebraic Combinatorics
  • [学会発表] Representation theory of q-deformed Clifford algebras2023

    • 著者名/発表者名
      Travis Scrimshaw
    • 学会等名
      AustMS 2023

URL: 

公開日: 2024-12-25  

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