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Last updated: Jan. 23, 2024

藤田 直樹 (Fujita, Naoki)

熊本大学 大学院先端科学研究部
e-mail: fnaoki ``at'' kumamoto-u.ac.jp

CV 論文 講演
授業 世話人 リンク


講演予定:

国際発表

国内発表

過去の講演:

国際発表

  • Toric and semi-toric degenerations arising from cluster algebras,
    Workshop on Torus Actions in Symplectic and Algebraic Geometry,
    IBS Science Culture Center, Daejeon, Korea
    Jan. 17, 2024.
  • Toric degenerations and Newton-Okounkov bodies arising from cluster algebras (lecture series),
    Summer School on Cluster Algebras 2023,
    online,
    Aug. 22 and 23, 2023.
  • Introduction to canonical bases and crystal bases (lecture series),
    Topology and Geometry of Torus actions and related Combinatorics (TGTC) Summer Seminar 2023 in Osaka,
    Osaka Metropolitan University, Osaka, Japan,
    Aug. 7–10, 2023.
  • Toric degenerations and Newton-Okounkov bodies of flag varieties arising from cluster structures,
    Advances in Cluster Algebras 2023,
    online,
    Mar. 24, 2023.
  • Schubert calculus on symplectic Gelfand-Tsetlin polytopes,
    Toric Topology 2023,
    Osaka Metropolitan University, Osaka, Japan,
    Feb. 22, 2023.
  • Schubert calculus and toric degenerations of flag varieties (short talk),
    Toric Degenerations,
    Banff International Research Station (BIRS), Banff, Canada,
    Dec. 6, 2022.
  • Schubert calculus and string polytopes,
    KTH Combinatorics Seminar,
    KTH Royal Institute of Technology (online),
    Mar. 16, 2022.
  • Toric degenerations of Schubert varieties arising from cluster structures,
    Quantum Groups and Cluster Algebras,
    Center for Quantum Structures in Modules and Spaces (online),
    Feb. 17, 2022.
  • Semi-toric degenerations of Richardson varieties arising from cluster structures on flag varieties I, II (lecture series),
    Ensemble of Algebra and Geometry Seminar,
    online,
    Jan. 27 and 28, 2022.
  • Semi-toric degenerations of Richardson varieties from cluster algebras,
    Symplectic Monday Seminar,
    IBS Center for Geometry and Physics (online),
    Dec. 13, 2021.
  • Marked chain-order polytopes as Newton-Okounkov bodies,
    Köln Algebra and Representation Theory Seminar,
    Germany (online),
    June 15, 2021.
  • Introduction to Newton-Okounkov bodies from cluster algebras I, II (lecture series),
    QSMS Winter school on mirror symmetry and related topics,
    Center for Quantum Structures in Modules and Spaces (online),
    Feb. 23 and 24, 2021.
  • Introduction to crystal bases I, II / Newton-Okounkov bodies of flag and Schubert varieties I, II (lecture series),
    Combinatorics on Flag Varieties and Related Topics 2021,
    Ajou University (online),
    Jan. 25 and 26, 2021.
  • Newton-Okounkov bodies arising from cluster structures and mutations on polytopes,
    Legendrians, Cluster algebras, and Mirror symmetry,
    Korea (online),
    Jan. 13, 2021.
  • Newton-Okounkov bodies arising from cluster structures,
    Online Algebraic Geometry Seminar,
    University of Nottingham (online),
    Nov. 19, 2020.
  • Newton-Okounkov polytopes of flag varieties from cluster algebras,
    Toric Topology 2019 in Okayama,
    Okayama University of Science, Okayama, Japan,
    Nov. 20, 2019.
  • Classification of weak Fano Hessenberg varieties,
    Hessenberg varieties 2019 in Osaka,
    Osaka City University, Osaka, Japan,
    Nov. 8, 2019.
  • Newton-Okounkov bodies of Schubert varieties and tropicalized cluster mutations (short talk),
    Degeneration Techniques in Representation Theory,
    Mathematisches Forschungsinstitut Oberwolfach (MFO), Oberwolfach, Germany,
    Oct. 10, 2019.
  • Cluster algebras and Newton-Okounkov bodies I, II, III (lecture series),
    Intensive Lecture Series,
    IBS Center for Geometry and Physics, Pohang, Korea,
    Aug. 26–28, 2019.
  • Newton-Okounkov bodies of flag varieties from their cluster structures,
    Mutations: Mirror Symmetry, Deformations, and Combinatorics,
    Banff International Research Station (BIRS), Banff, Canada,
    Aug. 13, 2019.
  • Algebro-geometric aspects of regular Hessenberg varieties and their families,
    Hessenberg varieties 2018 in Osaka,
    Osaka City University, Osaka, Japan,
    Dec. 13, 2018.
  • Newton-Okounkov bodies, generalized string polytopes and tensor product multiplicities,
    Conference on Algebraic Representation Theory 2018,
    Tongji University, Shanghai, China,
    Dec. 1, 2018.
  • Newton-Okounkov polytopes and representation theory I, II, III (lecture series),
    Intensive Lecture Series,
    IBS Center for Geometry and Physics, Pohang, Korea,
    Mar. 16 and 19, 2018.
  • Newton-Okounkov polytopes of flag varieties of classical types,
    The 4th Korea Toric Topology Winter Workshop,
    Unipark of Jeju National University, Jeju Island, Korea,
    Dec. 27, 2016.
  • Newton-Okounkov polytopes of Schubert varieties and perfect bases with positivity properties,
    Conference on Algebraic Representation Theory 2016,
    Harbin Institute of Technology, Shenzhen, China,
    Dec. 2, 2016.
  • Newton-Okounkov polytopes of Schubert varieties and folding method,
    Geometry & Topology Seminar,
    McMaster University, Hamilton, Canada,
    Sep. 23, 2016.

国内発表

  • シューベルト・カルキュラスと結晶基底,
    第49回変換群論シンポジウム,
    長崎商工会議所,
    2023年12月2日.
  • Combinatorics of skew mitosis operators,
    変換群の幾何とトポロジー,
    RIMS,
    2023年6月15日.
  • Combinatorics of string polyropes for symplectic Lie algebras,
    Algebraic Lie Theory and Representation Theory 2023,
    東京工業大学,
    2023年5月14日.
  • シューベルト・カルキュラスと凸多面体,
    日本数学会2023年度年会・代数学分科会・特別講演,
    中央大学,
    2023年3月15日.
  • 既約表現の essential 基底と Newton-Okounkov 凸体,
    日本数学会2022年度秋季総合分科会・代数学分科会,
    北海道大学,
    2022年9月14日.
  • クラスター代数とトーリック退化,
    大阪組合せ論セミナー,
    大阪市立大学梅田サテライト (hybrid),
    2022年2月5日.
  • Semi-toric degenerations of Schubert varieties arising from cluster structures on flag varieties,
    Infinite Analysis 21 (IA21) Workshop Around Cluster Algebras,
    online,
    2021年9月29日.
  • Newton-Okounkov polytopes of flag varieties and marked chain-order polytopes,
    Algebraic Lie Theory and Representation Theory 2021,
    オンライン,
    2021年6月26日.
  • クラスター構造から生じる Newton-Okounkov 凸体と付随するトーリック退化,
    日本数学会2021年度年会・トポロジー分科会・特別講演,
    慶應義塾大学 (オンライン),
    2021年3月16日.
  • Schubert calculus from polyhedral parametrizations of Demazure crystals,
    南大阪代数セミナー,
    大阪 (オンライン),
    2020年11月13日.
  • Combinatorial mutations on representation-theoretic polytopes,
    組合せ論的表現論の最近の進展,
    RIMS (オンライン),
    2020年10月8日.
  • Newton-Okounkov 凸体およびクラスター構造から生じるトーリック退化,
    日本数学会2020年度年会・トポロジー分科会・特別講演,
    日本大学,
    2020年3月16日.
    (COVID-19 の影響により中止, アブストラクトの発行のみ)
  • Newton-Okounkov polytopes of flag varieties and tropicalized cluster mutations,
    第15回代数・解析・幾何学セミナー,
    鹿児島大学,
    2020年2月12日.
  • Recursive constructions of Nakashima-Zelevinsky polytopes,
    日本数学会2019年度秋季総合分科会・代数学分科会,
    金沢大学,
    2019年9月17日.
  • Weak Fano Hessenberg varieties from Richardson varieties,
    Algebraic Lie Theory and Representation Theory 2019,
    静岡県伊東市,
    2019年5月25日.
  • Tensor product representations from Newton-Okounkov bodies,
    第15回数学総合若手研究集会,
    北海道大学,
    2019年3月4日.
  • Nakashima-Zelevinsky polytopes from convex-geometric Demazure operators,
    南大阪代数セミナー,
    大阪府立大学 I-site なんば,
    2018年12月14日.
  • Divided difference operators on polytopes and polyhedral realizations of crystal bases,
    組合せ論的表現論の諸相,
    RIMS,
    2018年10月11日.
  • Geometric and representation-theoretic aspects of flag Bott-Samelson varieties,
    変換群論における幾何・代数・組み合わせ論,
    RIMS,
    2018年6月7日.
  • Geometry of regular Hessenberg varieties and their families,
    Algebraic Lie Theory and Representation Theory 2018,
    長野県北佐久郡軽井沢町,
    2018年5月26日.
  • Folding procedure for Newton-Okounkov polytopes of flag varieties,
    第14回数学総合若手研究集会,
    北海道大学,
    2018年2月28日.
  • Polyhedral realizations of crystal bases and perfect bases with positivity properties,
    表現論と組合せ論,
    RIMS,
    2017年10月11日.
  • Comparison between Newton-Okounkov polytopes of Schubert varieties,
    Algebraic Lie Theory and Representation Theory 2016,
    長野県上田市,
    2016年6月10日.
  • Newton-Okounkov bodies for Bott-Samelson varieties and crystal bases,
    第21回代数学若手研究会,
    奈良女子大学,
    2016年3月30日.
  • Newton-Okounkov bodies of Schubert varieties and polyhedral realizations of crystal bases,
    組合せ論的表現論とその周辺,
    RIMS,
    2015年10月19日.
  • Okounkov bodies for Bott-Samelson varieties and string polytopes for generalized Demazure modules,
    Algebraic Lie Theory and Representation Theory 2015,
    岡山県瀬戸内市,
    2015年6月6日.
  • A model of Schubert polynomials in terms of Bott-Samelson varieties (概説講演),
    第３回シューベルトカルキュラスとその周辺,
    岡山理科大学,
    2014年8月27日.

ポスター発表

  • Convex-geometric divided difference operators and crystal bases,
    International Festival in Schubert Calculus,
    Sun Yat-sen University, Guangzhou, China,
    Nov. 9, 2017.
  • Polyhedral realizations of crystal bases and convex-geometric divided difference operators,
    Algebraic Analysis and Representation Theory,
    RIMS, Kyoto, Japan,
    June 28, 2017.
  • Newton-Okounkov polytopes of Schubert varieties and polyhedral realizations of crystal bases,
    Introductory Workshop in Major Thematic Program on Combinatorial Algebraic Geometry,
    Fields Institute, Toronto, Canada,
    Aug. 16, 2016.