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Last updated: Nov. 10, 2024

Naoki Fujita

Faculty of Advanced Science and Technology, Kumamoto University
e-mail: fnaoki ``at'' kumamoto-u.ac.jp

CV Papers Talks
Teaching Organizers Link


Upcoming talks:

International

Internal

Past talks:

International

  • Schubert calculus on polytopes and semi-toric degenerations arising from cluster algebras,
    The 16th International Symposium on Natural Sciences,
    Incheon National University (online),
    Oct. 10, 2024.
  • Schubert calculus on Newton–Okounkov polytopes and semi-toric degenerations,
    Combinatorial Representation Theory and Geometry ―― In Honor of Satoshi Naito's 60th Birthday ――,
    Tokyo Institute of Technology, Tokyo, Japan,
    June 27, 2024.
  • 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.

Internal

  • Schubert calculus on convex polytopes and semi-toric degenerations,
    MathCCS Seminar,
    Tohoku University,
    Oct. 28, 2024.
  • Combinatorics of string polytopes in type C,
    Hiroshima-Okayama Algebra Seminar,
    Hiroshima University,
    Mar. 23, 2024.
  • Schubert calculus and crystal bases,
    The 49th Symposium on Transformation Groups,
    Nagasaki,
    Dec. 2, 2023.
  • Combinatorics of skew mitosis operators,
    Geometry and Topology of Transformation Groups,
    RIMS,
    June 15, 2023.
  • Combinatorics of string polyropes for symplectic Lie algebras,
    Algebraic Lie Theory and Representation Theory 2023,
    Tokyo Institute of Technology,
    May 14, 2023.
  • Schubert calculus and convex polytopes,
    Invited talk in Algebra Session at MSJ Spring Meeting 2023,
    Chuo University,
    Mar. 15, 2023.
  • Essential bases of irreducible representations and Newton-Okounkov bodies,
    Algebra Session at MSJ Autumn Meeting 2022,
    Hokkaido University,
    Sep. 14, 2022.
  • Cluster algebras and toric degenerations,
    Osaka Combinatorics Seminar,
    Osaka City University Umeda Satellite (hybrid),
    Feb. 5, 2022.
  • Semi-toric degenerations of Schubert varieties arising from cluster structures on flag varieties,
    Infinite Analysis 21 (IA21) Workshop Around Cluster Algebras,
    online,
    Sep. 29, 2021.
  • Newton-Okounkov polytopes of flag varieties and marked chain-order polytopes,
    Algebraic Lie Theory and Representation Theory 2021,
    online,
    June 26, 2021.
  • Newton-Okounkov bodies arising from cluster structures and associated toric degenerations,
    Invited talk in Topology Session at MSJ Spring Meeting 2021,
    Keio University (online),
    Mar. 16, 2021.
  • Schubert calculus from polyhedral parametrizations of Demazure crystals,
    South Osaka Algebra Seminar,
    Osaka (online),
    Nov. 13, 2020.
  • Combinatorial mutations on representation-theoretic polytopes,
    Recent Advances in Combinatorial Representation Theory,
    RIMS (online),
    Oct. 8, 2020.
  • Toric degenerations arising from Newton–Okounkov bodies and cluster structures,
    Invited talk in Topology Session at MSJ Spring Meeting 2020,
    Nihon University,
    Mar. 16, 2020.
    (canceled due to COVID-19, only an extended abstract is released)
  • Newton-Okounkov polytopes of flag varieties and tropicalized cluster mutations,
    The 15th Kagoshima Algebra-Analysis-Geometry Seminar,
    Kagoshima University,
    Feb. 12, 2020.
  • Recursive constructions of Nakashima-Zelevinsky polytopes,
    Algebra Session at MSJ Autumn Meeting 2019,
    Kanazawa University,
    Sep. 17, 2019.
  • Weak Fano Hessenberg varieties from Richardson varieties,
    Algebraic Lie Theory and Representation Theory 2019,
    Shizuoka,
    May 25, 2019.
  • Tensor product representations from Newton-Okounkov bodies,
    The 15th Mathematics Conference for Young Researchers,
    Hokkaido University,
    Mar. 4, 2019.
  • Nakashima-Zelevinsky polytopes from convex-geometric Demazure operators,
    South Osaka Algebra Seminar,
    Osaka Prefecture University I-site Namba,
    Dec. 14, 2018.
  • Divided difference operators on polytopes and polyhedral realizations of crystal bases,
    Aspects of Combinatorial Representation Theory,
    RIMS,
    Oct. 11, 2018.
  • Geometric and representation-theoretic aspects of flag Bott-Samelson varieties,
    Geometry, Algebra and Combinatorics in Transformation Group Theory,
    RIMS,
    June 7, 2018.
  • Geometry of regular Hessenberg varieties and their families,
    Algebraic Lie Theory and Representation Theory 2018,
    Nagano,
    May 26, 2018.
  • Folding procedure for Newton-Okounkov polytopes of flag varieties,
    The 14th Mathematics Conference for Young Researchers,
    Hokkaido University,
    Feb. 28, 2018.
  • Polyhedral realizations of crystal bases and perfect bases with positivity properties,
    Representation Theory and Combinatorics,
    RIMS,
    Oct. 11, 2017.
  • Comparison between Newton-Okounkov polytopes of Schubert varieties,
    Algebraic Lie Theory and Representation Theory 2016,
    Nagano,
    June 10, 2016.
  • Newton-Okounkov bodies for Bott-Samelson varieties and crystal bases,
    The 21st Conference on Algebra for Young Researchers in Japan,
    Nara Women's University,
    Mar. 30, 2016.
  • Newton-Okounkov bodies of Schubert varieties and polyhedral realizations of crystal bases,
    Combinatorial Representation Theory and Related Topics,
    RIMS,
    Oct. 19, 2015.
  • Okounkov bodies for Bott-Samelson varieties and string polytopes for generalized Demazure modules,
    Algebraic Lie Theory and Representation Theory 2015,
    Okayama,
    June 6, 2015.
  • A model of Schubert polynomials in terms of Bott-Samelson varieties (survey),
    The 3rd Workshop on Schubert Calculus,
    Okayama University of Science,
    Aug. 27, 2014.

Poster presentations

  • 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.