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J-GLOBAL ID:201901019118008543   Update date: Feb. 23, 2024

Watanabe Hideya

ワタナベ ヒデヤ | Watanabe Hideya
Affiliation and department:
Homepage URL  (2): https://hideya1.github.io/MyPage/html/home_ja.htmlhttps://hideya1.github.io/MyPage/html/home_en.html
Research field  (1): Algebra
Research keywords  (9): representation theory ,  Lie algebra ,  quantum group ,  quantum symmetric pair ,  iquantum group ,  crystal basis ,  icrystal base ,  Hecke algebra ,  integrable systems
Research theme for competitive and other funds  (4):
  • 2023 - 2024 Combinatorial structures appearing in representation theory of quantum symmetric subalgebras, and their applications
  • 2020 - 2024 量子対称対のウェイト表現と結晶基底
  • 2021 - 2023 量子対称部分代数の表現論に現れる組合せ構造とその応用
  • 2017 - 2019 An approach to the Kazhdan-Lusztig polynomials via the representation theory of quantum symmetric pairs
Papers (12):
  • Hideya Watanabe. Crystal bases of modified $\imath$quantum groups of certain quasi-split types. Algebras and Representation Theory. 2023
  • Hideya Watanabe. A new tableau model for representations of the special orthogonal group. Journal of Algebraic Combinatorics. 2023. 58. 1. 183-230
  • Hideya Watanabe. Stability of $\imath$canonical bases of irreducible finite type of real rank one. Representation Theory of the American Mathematical Society. 2023. 27. 1. 1-29
  • Hideya Watanabe. Based modules over the $$\imath $$quantum group of type AI. Mathematische Zeitschrift. 2023. 303. 2
  • Hideya Watanabe, Keita Yamamura. Alcove Paths and Gelfand-Tsetlin Patterns. Annals of Combinatorics. 2021
more...
MISC (4):
  • Hideya Watanabe. Symplectic tableaux and quantum symmetric pairs. 2023
  • Hideya Watanabe. Stability of $\imath$canonical bases of locally finite type. 2023
  • Hiroto Kusano, Masato Okado, Hideya Watanabe. Kirillov-Reshetikhin modules and quantum $K$-matrices. 2022
  • 渡邉 英也. 周期的 $R$-多項式の組合せ論的明示公式 (組合せ論的表現論とその周辺). 数理解析研究所講究録. 2016. 1992. 91-99
Lectures and oral presentations  (38):
  • A branching rule from the general linear groups to the symplectic groups, and quantum symmetric pairs
    (Tokyo Tech Representation Theory Seminar 2024)
  • Recent progress on crystal base theory for quantum symmetric pairs
    (Taipei Conference on Representation Theory VII 2023)
  • A new branching rule from $GL_{2n}(\mathbb{C})$ to $Sp_{2n}(\mathbb{C})$
    (Combinatorial Aspects of Representation Theory and Related Topics 2023)
  • Stability of canonical bases of quantum symmetric pairs
    (Minami Osaka Daisu Seminar 2023)
  • A branching rule from $GL_{2n}(\mathbb{C})$ to $Sp_{2n}(\mathbb{C})$ arising from the representation theory of quantum symmetric pairs
    (The Mathematical Society of Japan Autumn Meeting 2023 2023)
more...
Education (4):
  • 2016 - 2019 Tokyo Institute of Technology School of Science
  • 2014 - 2016 Tokyo Institute of Technology Science of Engineering Mathematics
  • 2012 - 2014 The University of Tokyo Faculty of Science Department of Mathematics
  • 2010 - 2012 The University of Tokyo College of Arts and Sciences
Professional career (1):
  • 博士(理学) (東京工業大学)
Work history (5):
  • 2022/04 - 現在 Osaka Central Advanced Mathematical Institute
  • 2021/04 - 2022/03 Osaka City University
  • 2020/04 - 2021/03 Kyoto University
  • 2019/10 - 2021/03 Kyoto University Research Institute for Mathematical Sciences
  • 2019/04 - 2019/09 Osaka University Graduate School of Information Science and Technology
Association Membership(s) (1):
THE MATHEMATICAL SOCIETY OF JAPAN
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