FUJITA Naoki 藤田直樹

Researcher Number	40866357
Other IDs
Affiliation (Current)	2025: 熊本大学, 大学院先端科学研究部(理), 准教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 熊本大学, 大学院先端科学研究部(理), 准教授 2020: 東京大学, 大学院数理科学研究科, 日本学術振興会特別研究員
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related Except Principal Investigator Basic Section 11010:Algebra-related
Keywords	Principal Investigator トーリック退化 / クラスター代数 / Peterson多様体 / Newton-Okounkov凸体 / シューベルト・カルキュラス / 完全可積分系 / marked chain-order 多面体 / 旗多様体 / リチャードソン多様体 / Gleizer-Postnikov パス … More / 半トーリック退化 / ストリング多面体 / トロピカル変異 / ユニモジュラー同値 / Newton-Okounkov 凸体 … More Except Principal Investigator 超ポテンシャル / Newton-Okounkov凸体 / グラスマン多様体 / 旗多様体 / 組合せ的変異 Less

Study of toric degenerations of flag varieties from viewpoints of combinatorial mutations
- Principal Investigator
  
  東谷章弘
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Osaka University
Newton-Okounkov 凸体を用いたシューベルト・カルキュラスの研究Principal Investigator
- Principal Investigator
  
  藤田直樹
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kumamoto University
クラスター構造を用いた旗多様体のトーリック退化の研究Principal Investigator
- Principal Investigator
  
  藤田直樹
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kumamoto University
  The University of Tokyo

All 2024 2023 2022 2021 2020

All Journal Article Presentation

[Journal Article] Newton-Okounkov polytopes of flag varieties and marked chain-order polytopes2023
- Author(s)
  Naoki Fujita
- Journal Title
  
  Transactions of the American Mathematical Society, Series B
  
  Volume: 10 Issue: 15 Pages: 452-481
- DOI
  10.1090/btran/142
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14281
[Journal Article] Fano and Weak Fano Hessenberg Varieties2023
- Author(s)
  Hiraku Abe, Naoki Fujita, Haozhi Zeng
- Journal Title
  
  Michigan Mathematical Journal
  
  Volume: 73 Issue: 3 Pages: 511-555
- DOI
  10.1307/mmj/20205971
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Journal Article] Schubert calculus from polyhedral parametrizations of Demazure crystals2022
- Author(s)
  Naoki Fujita
- Journal Title
  
  Advances in Mathematics
  
  Volume: 397 Pages: 108201-108201
- DOI
  10.1016/j.aim.2022.108201
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19J00123, KAKENHI-PROJECT-20K14281
[Journal Article] Newton-Okounkov bodies of flag varieties and combinatorial mutations2021
- Author(s)
  Naoki Fujita and Akihiro Higashitani
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: ー Issue: 12 Pages: 9567-9607
- DOI
  10.1093/imrn/rnaa276
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-19J00123, KAKENHI-PROJECT-20K14281
[Journal Article] Algebraic and geometric properties of flag Bott-Samelson varieties and applications to representations2020
- Author(s)
  Naoki Fujita, Eunjeong Lee and Dong Youp Suh
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 309 Issue: 1 Pages: 145-194
- DOI
  10.2140/pjm.2020.309.145
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281, KAKENHI-PROJECT-19J00123
[Presentation] Combinatorics of string polytopes in type C2024
- Author(s)
  藤田直樹
- Organizer
  広島岡山代数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Toric and semi-toric degenerations arising from cluster algebras2024
- Author(s)
  Naoki Fujita
- Organizer
  Workshop on Torus Actions in Symplectic and Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Introduction to canonical bases and crystal bases2023
- Author(s)
  Naoki Fujita
- Organizer
  Topology and Geometry of Torus actions and related Combinatorics (TGTC) Summer Seminar 2023 in Osaka
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Toric degenerations and Newton-Okounkov bodies of flag varieties arising from cluster structures2023
- Author(s)
  Naoki Fujita
- Organizer
  Advances in Cluster Algebras 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Schubert calculus on symplectic Gelfand-Tsetlin polytopes2023
- Author(s)
  Naoki Fujita
- Organizer
  Toric Topology 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] シューベルト・カルキュラスと凸多面体2023
- Author(s)
  藤田直樹
- Organizer
  日本数学会2023年度年会・代数学分科会・特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Toric degenerations and Newton-Okounkov bodies arising from cluster algebras2023
- Author(s)
  Naoki Fujita
- Organizer
  Summer School on Cluster Algebras 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] シューベルト・カルキュラスと結晶基底2023
- Author(s)
  藤田直樹
- Organizer
  第49回変換群論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Combinatorics of string polyropes for symplectic Lie algebras2023
- Author(s)
  藤田直樹
- Organizer
  Algebraic Lie Theory and Representation Theory 2023
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Combinatorics of skew mitosis operators2023
- Author(s)
  藤田直樹
- Organizer
  変換群の幾何とトポロジー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] クラスター代数とトーリック退化2022
- Author(s)
  藤田直樹
- Organizer
  大阪組合せ論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] 既約表現の essential 基底と Newton-Okounkov 凸体2022
- Author(s)
  藤田直樹
- Organizer
  日本数学会2022年度秋季総合分科会・代数学分科会
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Toric degenerations of Schubert varieties arising from cluster structures2022
- Author(s)
  Naoki Fujita
- Organizer
  Quantum Groups and Cluster Algebras
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Schubert calculus and toric degenerations of flag varieties2022
- Author(s)
  Naoki Fujita
- Organizer
  Toric Degenerations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Schubert calculus and string polytopes2022
- Author(s)
  Naoki Fujita
- Organizer
  KTH Combinatorics Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Semi-toric degenerations of Richardson varieties arising from cluster structures on flag varieties I, II2022
- Author(s)
  Naoki Fujita
- Organizer
  Ensemble of Algebra and Geometry Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Newton-Okounkov bodies arising from cluster structures and mutations on polytopes2021
- Author(s)
  藤田直樹
- Organizer
  Legendrians, Cluster algebras, and Mirror symmetry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Semi-toric degenerations of Richardson varieties from cluster algebras2021
- Author(s)
  Naoki Fujita
- Organizer
  IBS-CGP Symplectic Monday Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Semi-toric degenerations of Schubert varieties arising from cluster structures on flag varieties2021
- Author(s)
  Naoki Fujita
- Organizer
  Infinite Analysis 21 (IA21) Workshop Around Cluster Algebras
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Marked chain-order polytopes as Newton-Okounkov bodies2021
- Author(s)
  Naoki Fujita
- Organizer
  Cologne Algebra and Representation Theory Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Newton-Okounkov polytopes of flag varieties and marked chain-order polytopes2021
- Author(s)
  藤田直樹
- Organizer
  Algebraic Lie Theory and Representation Theory 2021
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] 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2021
- Author(s)
  藤田直樹
- Organizer
  日本数学会2021年度年会・トポロジー分科会・特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Introduction to crystal bases I, II / Newton-Okounkov bodies of flag and Schubert varieties I, II2021
- Author(s)
  藤田直樹
- Organizer
  Combinatorics on Flag Varieties and Related Topics 2021
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Introduction to Newton-Okounkov bodies from cluster algebras I, II2021
- Author(s)
  藤田直樹
- Organizer
  QSMS Winter school on mirror symmetry and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Schubert calculus from polyhedral parametrizations of Demazure crystals2020
- Author(s)
  藤田直樹
- Organizer
  南大阪代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Newton-Okounkov bodies arising from cluster structures2020
- Author(s)
  藤田直樹
- Organizer
  Online Algebraic Geometry Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14281
[Presentation] Combinatorial mutations on representation-theoretic polytopes2020
- Author(s)
  藤田直樹
- Organizer
  組合せ論的表現論の最近の進展
- Data Source
  KAKENHI-PROJECT-20K14281

1. 東谷章弘 (60723385)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results

FUJITA Naoki 藤田 直樹

Research Projects

Research Products

Co-Researchers

Study of toric degenerations of flag varieties from viewpoints of combinatorial mutations

Principal Investigator

Project Period (FY)

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Research Institution

Newton-Okounkov 凸体を用いたシューベルト・カルキュラスの研究Principal Investigator

Principal Investigator

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Research Category

Review Section

Research Institution

クラスター構造を用いた旗多様体のトーリック退化の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Newton-Okounkov polytopes of flag varieties and marked chain-order polytopes2023

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[Journal Article] Fano and Weak Fano Hessenberg Varieties2023

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[Journal Article] Schubert calculus from polyhedral parametrizations of Demazure crystals2022

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DOI

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[Journal Article] Newton-Okounkov bodies of flag varieties and combinatorial mutations2021

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DOI

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[Journal Article] Algebraic and geometric properties of flag Bott-Samelson varieties and applications to representations2020

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[Presentation] Combinatorics of string polytopes in type C2024

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Data Source

[Presentation] Toric and semi-toric degenerations arising from cluster algebras2024

Author(s)

Organizer

Data Source

[Presentation] Introduction to canonical bases and crystal bases2023

Author(s)

Organizer

Data Source

[Presentation] Toric degenerations and Newton-Okounkov bodies of flag varieties arising from cluster structures2023

Author(s)

Organizer

Data Source

[Presentation] Schubert calculus on symplectic Gelfand-Tsetlin polytopes2023

Author(s)

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Data Source

[Presentation] シューベルト・カルキュラスと凸多面体2023

Author(s)

Organizer

Data Source

[Presentation] Toric degenerations and Newton-Okounkov bodies arising from cluster algebras2023

Author(s)

Organizer

Data Source

[Presentation] シューベルト・カルキュラスと結晶基底2023

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Data Source

[Presentation] Combinatorics of string polyropes for symplectic Lie algebras2023

FUJITA Naoki 藤田直樹