Updated on 2024/12/26

写真a

 
SUZUKI Takeshi
 
Organization
Faculty of Environmental, Life, Natural Science and Technology Associate Professor
Position
Associate Professor
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Degree

  • Ph.D (Science) ( 1998.3   Kyoto University )

  • 修士(理学) ( 1995.3   京都大学 )

Professional Memberships

Committee Memberships

  • 日本数学会中国四国支部   代議員  

    2022.4 - 2023.3   

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  • 岡山大学教育改革構想委員会   委員  

    2021.4   

  • 日本数学会   無限可積分系セッション 世話人(代表)  

    2019.4 - 2020.3   

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  • 日本数学会   無限可積分系セッション 世話人  

    2018.4 - 2019.3   

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    Committee type:Academic society

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Papers

  • Poset Structure Concerning Cylindric Diagrams Reviewed

    Takeshi Suzuki, Kento Nakada, Yoshitaka Toyosawa

    The Electronic Journal of Combinatorics   31 ( 1 )   2024.3

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)   Publisher:The Electronic Journal of Combinatorics  

    Cylindric diagrams admit the structure of infinite $d$-complete posets with natural ordering. The purpose of this paper is to provide a realization of a cylindric diagram as a subset of an affine root system of type A via colored hook lengths and to present several characterizations of its poset structure. Furthermore, the set of order ideals of a cylindric diagram is described as a weak Bruhat interval of the affine Weyl group.

    DOI: 10.37236/12205

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  • Poset structure concerning cylindric diagrams

    2258   150 - 165   2023.6

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    Authorship:Corresponding author   Language:Japanese   Publishing type:Research paper (international conference proceedings)  

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  • On hook formulas for cylindric skew diagrams Reviewed

    Takeshi Suzuki, Yoshitaka Toyosawa

    Mathematical Journal of Okayama Univeristy   64   191 - 213   2022.1

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

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  • On enumeration concerning standard tableaux on cylindric skew diagrams

    RIMS Kyokyuroku(Aspects of Combinatorial Representaion Theory)   2127   66 - 78   2019.9

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    Authorship:Corresponding author   Language:Japanese  

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  • Combinatorics for Graded Cartan Matrices of the Iwahori-Hecke Algebra of Type A Reviewed

    Masanori Ando, Takeshi Suzuki, Hiro-Fumi Yamada

    Annals of Combinatorics   17 ( 3 )   427 - 442   2013.9

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    DOI: 10.1007/s00026-013-0197-2

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    Other Link: http://link.springer.com/article/10.1007/s00026-013-0197-2/fulltext.html

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Presentations

  • On hook length formula for cylindric skew Young siagrams

    Takeshi Suzuki, Yoshitaka Toyosawa

    2023.3.15 

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    Event date: 2023.3.15 - 2023.3.19

    Language:Japanese   Presentation type:Oral presentation (general)  

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  • On hooks of cylindric skew Young diagrams

    Takeshi Suzuki

    2023.3.10 

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    Event date: 2023.3.10 - 2023.3.12

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  • Poset structure concerning cylindric diagrams Invited

    2022.11.10 

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    Event date: 2022.11.7 - 2022.11.10

    Language:Japanese   Presentation type:Oral presentation (general)  

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  • 巡回的標準盤の数え上げに関する公式について Invited

    鈴木武史, 豊澤由貴

    RIMS共同研究(公開型)「組合せ論的表現論の諸相」  2018.10.10 

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    Event date: 2018.10.9 - 2018.10.12

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  • Poset structure concerning cylindric diagrams

    鈴木武史, 仲田研登, 豊澤由貴

    2024年度日本数学会秋季総合分科会  2024.9.4 

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Research Projects

  • On representation theory from the view point of integrable systems

    Grant number:22540048  2010.04 - 2014.03

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

    SUZUKI Takeshi

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    Grant amount:\4030000 ( Direct expense: \3100000 、 Indirect expense:\930000 )

    We studied on the graded Cartan matrices for the Khovanov-Lauda-Rouquier algebras associated to the Iwahori-Hecke algebras of type A. As a result, we obtained several explixit and combinatorial descriptions for their determinants, and conjectual expressions for their elementary divisors.
    We also studied on representations for the Cherednik algebra of type GL_n. We focused on irreducible representations which are described in terms of cylindric standard tableaux. By applying cylindric combinatorics, we investigated their structure and their relation to the representatinos of the affine Lie algebra via conformal field theory.

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  • From modular representations of the symmetric groups to nonlinear differential equations

    Grant number:21540016  2009 - 2011

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

    YAMADA Hirofumi, YOSHINO Yuji, NAKAMURA Hiroaki, SUZUKI Takeshi

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    Grant amount:\4420000 ( Direct expense: \3400000 、 Indirect expense:\1020000 )

    The importance of the "Brauer-Schur functions", which had been introduced by myself, is now being recognized in the area of KP hierarchy, its reductions and representations of affine Lie algebras. I published a short note entitled "A note on Brauer-Schur functions", which is contained in the proceedings of the international conference on Mathematical physics held in Tianjin, China.

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  • A comprehensive research of vertex algebras, especially the W-algebras

    Grant number:20340007  2008 - 2012

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

    ARAKAWA Tomoyuki, MATSUO Atsushi, SUZUKI Takeshi, YAMAUCHI Hiroshi, YAMADA Hiromichi, MIYAMOTO Masahiko, MATUZAWA Jyunichi, KONNO Hitoshi

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    Grant amount:\17030000 ( Direct expense: \13100000 、 Indirect expense:\3930000 )

    On admissible representations of affine Kac-Moody algebras, we proved the he conjecture of Frenkel, Kac and Wakimoto on the existence of two-sided BGG resolutions, the conjecture of Adamovic and Milas on the corresponding vertex operators algebra, and the conjecture of Feigin and Frenkel on their singular supports. On critical level representations of affine Kac-Moody algebras, we proved the new linkage principal and established a chiral Borel-Weil-Bott theorem. On W-algebras, we prove the C_2-cofinitness of the exceptional W-algebras discovered by Kac and Wakimoto and prove the admissible representations of affine Kac-Moody algebras. We obtained various results on the W-algebras at the critical levels.

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  • グロタンディークデッサンと悲合同的タイヒミュラー被覆の数論

    Grant number:19654005  2007 - 2009

    日本学術振興会  科学研究費助成事業  挑戦的萌芽研究

    中村 博昭, 鳥居 猛, 鈴木 武史, 吉野 雄二, 山田 裕史, 松崎 克彦, 廣川 真男, 石川 佳弘

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    Grant amount:\3200000 ( Direct expense: \3200000 )

    昨年度に基礎を確立した複素および1進の反復積分の関数等式の導出法(Wojtkowiak氏との共同研究)を延長して,具体的な実例計算をさらに検証した.とりわけ古典的な高次対数関数について知られている分布関係式(distribution relation)の1進版を導出することに成功した.分布関係式は,様々な特殊値を代入することで,高次対数関数の特殊値の間に成立する様々な関係式を組織的に生み出す重要なものであり,1進の場合にも並行してガロア群上の関数族(1-コチェイン)を統御する要となることが期待されるが,前年度までに得られた関数等式との整合性についても検証を行った.8月にケンブリッジのニュートン数理科学研究所で行われた研究集会"Anabelian Geometry"において口頭発表を行った.このときの講演に参加していたH.Gangl氏,P.Deligne氏から今後の研究指針を考える上で有用になると思われるコメントを頂戴することが出来た.また分布関係式の低次項の解消問題に関連して,有理的な道に沿った解析接続の概念にっいて考察を進める必要が生じた.こうしたテーマに関連して研究分担者の鳥居氏には,有理ホモトピー論に関する情報収集を担当していただき,また研究分担者の鈴木氏には,量子代数やKZ方程式との関連で組みひも群の数理についての情報収集を担当していただいた.以上の研究成果の一部は,共同研究者のWojtkowiak氏と協力して,"On distribution formula of complex and 1-adic polylogarithms"という仮題の草稿におおよその骨子をまとめたが,まだ完成に至っていない.周辺にやり残した問題(楕円ポリログ版など)もあり,これらについて一定の目処をつけてから公表までの工程を相談する予定になっている.

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  • Algebraic Analysis of Infinite Symmetry

    Grant number:18340007  2006 - 2009

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

    KASHIWARA Masaki, ARIKI Susumu, KIRILLOV Anatol, MIWA Tetsuji, NAKAJIMA Hiraku, NAITO Satoshi, KANEDA Masaharu, TANISAKI Toshiyuki, NAKASHIMA Toshiki, NAKAYASHIKI Tasushi, SUZUKI Takeshi

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    Grant amount:\17260000 ( Direct expense: \14200000 、 Indirect expense:\3060000 )

    I have studied representation theory via geometric methods and categorical methods. I conjectured that the representation theory of affine Hecke algebras of type B is described by the symmetric crystals which we introduced for this purpose. I also studied deformation quantizations of the structure sheaf of symplectic manifolds, and applied this theory to the study of the representation theory of rational Cherednik algebrasvia a deformation quantization of the Hilbert scheme of surfaces. I also succeeded to express the K-theory of the flag manifolds of affine Lie algebras by the polynomial rings.

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Class subject in charge

  • Categories and Representations (2024academic year) Late  - 水7~8

  • Basic Algebra A (2024academic year) 1st and 2nd semester  - 木7~8

  • Basic Algebra Aa (2024academic year) 1st semester  - 木7~8

  • Basic Algebra Ab (2024academic year) Second semester  - 木7~8

  • Seminar in Algebra (2024academic year) Year-round  - その他

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Social Activities

  • 教員免許更新講習

    Role(s):Lecturer

    2021.8.23

  • 岡山大学理学部高大接続部会・副部会長

    2021.4 - 2022.3

Academic Activities

  • 広島・岡山 代数学研究集会

    Role(s):Planning, management, etc.

    木村俊一,山田裕史,石川雅雄,鈴木武史  2023.3.10 - 2023.3.12

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  • 岡山大学数学教室談話会

    Role(s):Planning, management, etc.

    主催  2021.12.1

  • 日本数学会秋季総合分科会 無限可積分系セッション

    Role(s):Planning, management, etc.

    世話人  2019.9.17 - 2019.9.20

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  • 日本数学会 年会 無限可積分系セッション

    Role(s):Planning, management, etc.

    世話人  2019.3.17 - 2019.3.20

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  • 広島・熊本・岡山 代数学研究集会

    Role(s):Planning, management, etc.

    主催者  2019.3.13 - 2019.3.14

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