Nakaoka Hiroyuki 中岡宏行

… Alternative Names

HIROYUKI Nakaoka 中岡宏行

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Researcher Number	90568677
Affiliation (Current)	2025: 琉球大学, 理学部, 准教授
Affiliation (based on the past Project Information) *help	2019 – 2024: 名古屋大学, 多元数理科学研究科, 准教授 2015 – 2023: 鹿児島大学, 理工学域理学系, 准教授 2014: 鹿児島大学, 大学院理工学研究科, 准教授 2012 – 2014: 鹿児島大学, 理工学研究科, 准教授 2012: 鹿児島大学, 大学院・理工学研究科, 准教授 2011: 鹿児島大学, 大学院・理工学研究科(理学系), 准教授 2010: 鹿児島大学, 理工学研究科(理学系), 准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra / Algebra, Geometry, and related fields Except Principal Investigator Basic Section 11020:Geometry-related / Geometry
Keywords	Principal Investigator 三角圏 / 完全圏 / アーベル圏 / ホモロジー代数 / Burnside環 / Mackey関手 / 丹原関手 / 余ねじれ対 / Ext関手 / n-完全圏 … More / n-角圏 / torsion pair / triangulated category / 2-category / Mackey functor / biset functor / ルコルマン / ねじれ対 / derivator / biset関手 / 2-cateory / クラスター傾 / biset / Mackey 関手 … More Except Principal Investigator bivariant theory / algebraic cobordism / poset / 代数的コボルデイズム / poset-stratified space / characteristic class / 導来代数幾何 / correspondence / 導来代数幾何学 / 双変理論 / rational homotopy theory / cobordism / derived schemes / motivic特性類 / fiberwise bordism / Donaldson-Thomas不変量 / fiberwise bordism group / motivic 特性類 / 相対Grothendieck群 / 特異多様体 Less

Development of unified homological algebra encompassing exact categories and triangulated categories from viewpoint of higher categories and enriched categoriesPrincipal Investigator
- Principal Investigator
  
  中岡宏行
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Nagoya University
完全圏と三角圏を包括する高次のホモロジー代数の応用面からの発展Principal Investigator
- Principal Investigator
  
  中岡宏行
- Project Period (FY)
  2024
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Nagoya University
Unified homological algebra encompassing exact, abelian, triangulated categories and its enhancementPrincipal Investigator
- Principal Investigator
  
  中岡宏行
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Nagoya University
Comprehensive studies on derived algebraic geometry, bivariant theory, topology of spaces of morphisms and related topics
- Principal Investigator
  
  Yokura Shoji
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kagoshima University
Theoretical development of homological algebra in exact categories and triangulated categoriesPrincipal Investigator
- Principal Investigator
  
  Nakaoka Hiroyuki
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Research Field
  
  Algebra, Geometry, and related fields
- Research Institution
  Nagoya University
  Kagoshima University
Category theory appearing in algebra and its applicationsPrincipal Investigator
- Principal Investigator
  
  NAKAOKA HIROYUKI
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kagoshima University
Comprehensive studies on topology, analysis and geometry of singular spaces and related topics
- Principal Investigator
  
  YOKURA Shoji
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kagoshima University
Applications of homological category theory to algebraic geometry and representation theoryPrincipal Investigator
- Principal Investigator
  
  HIROYUKI Nakaoka
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kagoshima University

[Book] 圏論の技法ーアーベル圏と三角圏でのホモロジー代数ー2015
- Author(s)
  中岡宏行
- Total Pages
  458
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-24540085
[Journal Article] Auslander-Reiten theory in extriangulated categories2024
- Author(s)
  Osamu Iyama, Hiroyuki Nakaoka, Yann Palu
- Journal Title
  
  Transactions of the American Mathematical Society, Series B
  
  Volume: 11 Issue: 8 Pages: 248-305
- DOI
  10.1090/btran/159
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03532, KAKENHI-PROJECT-18K03209, KAKENHI-PROJECT-23K22384
[Journal Article] Localization of extriangulated categories2022
- Author(s)
  Hiroyuki Nakaoka, Yasuaki Ogawa, Arashi Sakai
- Journal Title
  
  Journal of Algebra
  
  Volume: 611 Pages: 341-398
- DOI
  10.1016/j.jalgebra.2022.08.008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03532, KAKENHI-PROJECT-22K13893
[Journal Article] n-exangulated categories (II): Constructions from n-cluster tilting subcategories2022
- Author(s)
  Martin Herschend, Yu Liu, Hiroyuki Nakaoka
- Journal Title
  
  Journal of Algebra
  
  Volume: 594 Pages: 636-684
- DOI
  10.1016/j.jalgebra.2021.11.042
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03532
[Journal Article] Finite gentle repetitions of gentle algebras and their Avella-Alaminos--Geiss invariants2022
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Communications in Algebra
  
  Volume: 50 Issue: 6 Pages: 2451-2475
- DOI
  10.1080/00927872.2021.2008412
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03532
[Journal Article] n-exangulated categories (I): Definitions and fundamental properties2021
- Author(s)
  Martin Herschend, Yu Liu, Hiroyuki Nakaoka
- Journal Title
  
  Journal of Algebra
  
  Volume: 570 Pages: 531-586
- DOI
  10.1016/j.jalgebra.2020.11.017
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03532
[Journal Article] Extriangulated categories, Hovey twin cotorsion pairs and model structures2019
- Author(s)
  Hiroyuki Nakaoka, Yann Palu
- Journal Title
  
  Cahiers de topologie et géométrie différentielle catégoriques
  
  Volume: LX Pages: 117-193
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K18727
[Journal Article] Hearts of twin cotorsion pairs on extriangulated categories2019
- Author(s)
  Yu Liu, Hiroyuki Nakaoka
- Journal Title
  
  Journal of Algebra
  
  Volume: 528 Pages: 96-149
- DOI
  10.1016/j.jalgebra.2019.03.005
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K18727
[Journal Article] Partial Tambara structure on the Burnside biset functor, induced from a derivator-like system of adjoint triplets2016
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Journal of Algebra
  
  Volume: 451 Pages: 166-207
- DOI
  10.1016/j.jalgebra.2015.12.004
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800022
[Journal Article] Equivalence of hearts of twin cotorsion pairs on triangulated categories2016
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Communications in Algebra
  
  Volume: 44 Issue: 10 Pages: 4302-4326
- DOI
  10.1080/00927872.2015.1087545
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800022
[Journal Article] Biset functors as module Mackey functors and its relation to derivators2016
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Communications in Algebra
  
  Volume: 44 Issue: 12 Pages: 5105-5148
- DOI
  10.1080/00927872.2016.1147572
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800022
[Journal Article] A Mackey-functor theoretic interpretation of biset functors2016
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Advances in Mathematics
  
  Volume: 289 Pages: 603-684
- DOI
  10.1016/j.aim.2015.11.024
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800022
[Journal Article] The spectrum of the Burnside Tambara functor on a finite cyclic p-group2014
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Journal of Algebra
  
  Volume: 398 Pages: 21-54
- DOI
  10.1016/j.jalgebra.2013.09.010
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540085, KAKENHI-PROJECT-25800022
[Journal Article] Biset transformations of Tambara functors2014
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Journal of Algebra
  
  Volume: 399 Pages: 904-926
- DOI
  10.1016/j.jalgebra.2013.10.016
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540085, KAKENHI-PROJECT-25800022
[Journal Article] General heart construction for twin torsion pairs on triangulated categories2013
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Journal of Algebra
  
  Volume: Vol.374 Pages: 195-215
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740005
[Journal Article] A generalization of the Dress construction for a Tambara functor, and its relation to polynomial Tambara functors2013
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Advances in Mathematics
  
  Volume: 235 Pages: 237-260
- DOI
  10.1016/j.jalgebra.2012.10.027
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540085
[Journal Article] A generalization of the Dress construction for a Tambara functor, and its relation to polynomial Tambara functors2013
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Advances in Mathematics
  
  Volume: Vol.235 Pages: 237-260
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740005
[Journal Article] Ideals of Tambara functors2012
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Advances in Mathematics
  
  Volume: Vol.230, No.4-6 Issue: 4-6 Pages: 2295-2331
- DOI
  10.1016/j.aim.2012.04.021
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540085
[Journal Article] General Heart Construction on a Triangulated Category (II): Associated Homological Functor2012
- Author(s)
  Hiroyuki Nakaoka, Noriyuki Abe
- Journal Title
  
  Applied Categorical Structures
  
  Volume: Vol.20, No.2 Pages: 161-174
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740005
[Journal Article] Ideals of Tambara functors2012
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Advances in Mathematics
  
  Volume: Vol.230 No.4-6 Pages: 2295-2331
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740005
[Journal Article] On the fractions of semi-Mackey and Tambara functors2012
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Journal of Algebra
  
  Volume: Vol.352, No.1 Pages: 79-103
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740005
[Journal Article] General Heart Construction on a Triangulated Category (II): Associated Homological Functor2012
- Author(s)
  Noriyuki Abe, Hiroyuki Nakaoka
- Journal Title
  
  Applied Categorical Structures
  
  Volume: 20 Issue: 2 Pages: 161-174
- DOI
  10.1007/s10485-010-9226-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740005
[Journal Article] General Heart Construction on a Triangulated Category (I) : Unifying t-Structures and Cluster Tilting Subcategories2011
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Applied Categorical Structures
  
  Volume: 19 Issue: 6 Pages: 879-899
- DOI
  10.1007/s10485-010-9223-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740005
[Journal Article] General Heart Construction on a Triangulated Category (I): Unifying t-Structures and Cluster Tilting Subcategories2011
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Applied Categorical Structures
  
  Volume: Vol.19, No.6 Pages: 879-899
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740005
[Journal Article] Tambarization of a Mackey functor and its application to the Witt-Burnside construction2011
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Advances in Mathematics
  
  Volume: Vol.227, No.5 Pages: 2107-2143
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740005
[Journal Article] Comparison of the definitions of abelian 2-categories2010
- Author(s)
  Hiroyuki Nakaoka
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: Vol.34, No.2 Pages: 173-182
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Localization of extriangulated categories2023
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  The Eighth Isfahan Seminar on Representation of Algebras (ISRA VIII)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03532
[Presentation] Extriangulated categoryについて2023
- Author(s)
  中岡宏行
- Organizer
  代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-20K03532
[Presentation] Localization of extriangulated categories2023
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Representation Theory of Quivers and Finite-Dimensional Algebras
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03532
[Presentation] External triangulation of the homotopy category of exact quasi-category2021
- Author(s)
  中岡宏行
- Organizer
  日本数学会2021年度年会
- Invited
- Data Source
  KAKENHI-PROJECT-20K03532
[Presentation] Finite gentle repetitions of gentle algebras and their Avella-Alaminos-Geiss invariants2019
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire de Theorie des Groupes
- Data Source
  KAKENHI-PROJECT-17K18727
[Presentation] Finite gentle repetitions of gentle algebras and their Avella-Alaminos-Geiss invariants2019
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire d'Algebre
- Data Source
  KAKENHI-PROJECT-17K18727
[Presentation] Finite gentle repetitions of gentle algebras and their Avella-Alaminos-Geiss invariants2018
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Oberseminar Algebra
- Data Source
  KAKENHI-PROJECT-17K18727
[Presentation] Some remarks on Avella-Alaminos-Geiss invariants of gentle algebras2018
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  第51回環論および表現論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K18727
[Presentation] On a unification of n-exact categories and n+2-angulated categories2018
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Higher homological algebra and cluster tilting
- Invited
- Data Source
  KAKENHI-PROJECT-17K18727
[Presentation] On a unification of n-exact categories and n+2-angulated categories2018
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  International Conference on Representations of Algebras
- Data Source
  KAKENHI-PROJECT-17K18727
[Presentation] On a unification of exact categories and triangulated categories2018
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K18727
[Presentation] Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories2018
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Algebraic Geometry in Positive Characteristic and Related Topics
- Invited
- Data Source
  KAKENHI-PROJECT-17K18727
[Presentation] On the relation between cotorsion pairs and model structures on abelian, exact, and triangulated categories2017
- Author(s)
  中岡宏行
- Organizer
  第7回（非）可換代数とトポロジー
- Place of Presentation
  信州大学（長野県・松本市）
- Year and Date
  2017-02-20
- Invited
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] On a unification of exact categories and triangulated categories2017
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Oberseminar Algebra
- Data Source
  KAKENHI-PROJECT-17K18727
[Presentation] Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories2017
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Algebra and Geometry seminar
- Place of Presentation
  Uppsala University（Uppsala（スウェーデン））
- Invited
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] Cotorsion pairs on exact/triangulated categories2017
- Author(s)
  中岡宏行
- Organizer
  第12回鹿児島代数・解析・幾何学セミナー
- Place of Presentation
  鹿児島大学（鹿児島県・鹿児島市）
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A simultaneous generalization of mutation and recollement on a triangulated category2016
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire de theorie des groupes
- Place of Presentation
  Universite de Picardie - Jules Verne（フランス、アミアン）
- Year and Date
  2016-02-03
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A simultaneous generalization of mutation and recollement on a triangulated category2016
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminario Padova-Verona
- Place of Presentation
  Verona University（イタリア、ヴェローナ）
- Year and Date
  2016-01-13
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A simultaneous generalization of mutation and recollement on a triangulated category2016
- Author(s)
  中岡宏行
- Organizer
  第21回代数学若手研究会
- Place of Presentation
  奈良女子大学（奈良県、奈良市）
- Year and Date
  2016-03-30
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] Twin cotorsion pairs on a triangulated category and related structures2016
- Author(s)
  中岡宏行
- Organizer
  環論表現論セミナー
- Place of Presentation
  名古屋大学（愛知県・名古屋市）
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] On Mackey functors2016
- Author(s)
  中岡宏行
- Organizer
  空間の代数的・幾何的モデルとその周辺
- Place of Presentation
  信州大学（長野県・松本市）
- Year and Date
  2016-08-29
- Invited
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] On the mutation of cotorsion pairs on exact/triangulated categories, and its relation to model structures2016
- Author(s)
  中岡宏行
- Organizer
  南大阪代数セミナー
- Place of Presentation
  大阪府立大学（大阪府・堺市）
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories2016
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Triangulated Categories and Applications
- Place of Presentation
  Banff International Research Station（Banff（カナダ））
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] An interpretation of biset functors as Mackey functors on finite groupoids, and its relation to deviators2016
- Author(s)
  中岡宏行
- Organizer
  代数学シンポジウム
- Place of Presentation
  佐賀大学（佐賀県・佐賀市）
- Invited
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] An interpretation of biset functors as Mackey functors on finite groupoids, and its relation to derivators2016
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Equivariant Derived Algebraic Geometry
- Place of Presentation
  Banff International Research Station（カナダ、バンフ）
- Year and Date
  2016-02-16
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories2016
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  International Conference on Representations of Algebras
- Place of Presentation
  Syracuse University（Syracuse（アメリカ合衆国））
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] Preadditive categories as a categorication of rings; quotients, spans and their applications2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Mathematics, Statistics and Applied Mathematics Seminar
- Place of Presentation
  National University of Ireland, Galway（アイルランド、ゴルウェー）
- Year and Date
  2015-10-08
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] Biset functors as Mackey functors on a 2-category, and associated system of adjoint triplets2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire Claude Chevalley
- Place of Presentation
  Universite Paris Diderot　パリ（フランス）
- Year and Date
  2015-03-12
- Invited
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] Adjoint properties on the 2-category of finite sets with variable finite group actions2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire de theorie des groupes
- Place of Presentation
  Universite de Picardie - Jules Verne（フランス、アミアン）
- Year and Date
  2015-04-08
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A Mackey-functor theoretic interpretation of biset functors2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Oberseminar Algebra
- Place of Presentation
  Universitat Stuttgart　シュトゥットガルト（ドイツ）
- Year and Date
  2015-02-24
- Invited
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A Mackey-functor theoretic interpretation of biset functors2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Oberseminar Algebra
- Place of Presentation
  Universitaet Stuttgart (ドイツ、シュトゥットガルト)
- Year and Date
  2015-02-24
- Invited
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] On the hearts of cotorsion pairs on triangulated categories2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire de Topologie
- Place of Presentation
  Universite Lille 1（フランス、リール）
- Year and Date
  2015-11-20
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] Equivalence of hearts of twin cotorsion pairs on triangulated categories2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Oberseminar Algebra
- Place of Presentation
  Universitaet Stuttgart (ドイツ、シュトゥットガルト)
- Year and Date
  2015-02-24
- Invited
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] Equivalence of hearts of twin cotorsion pairs on triangulated categories2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Oberseminar Algebra
- Place of Presentation
  Universitat Stuttgart　シュトゥットガルト（ドイツ）
- Year and Date
  2015-02-24
- Invited
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] On the hearts of cotorsion pairs on triangulated categories2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  seminars in algebra
- Place of Presentation
  Norwegian University of Science and Technology（ノルウェー、トロンハイム）
- Year and Date
  2015-09-29
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] Toward the denition of Tambara biset functor2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Functorial Methods in Representation Theory
- Place of Presentation
  Ecole Polytechnique Federale de Lausanne（スイス、ローザンヌ）
- Year and Date
  2015-09-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] Biset functors as Mackey functors on a 2-category, and associated system of adjoint triplets2015
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire Claude Chevalley
- Place of Presentation
  Universite Paris Diderot (フランス、パリ)
- Year and Date
  2015-03-12
- Invited
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] On the 2-category of finite sets with variable group actions2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Category Theory 2014 (ポスター発表)
- Place of Presentation
  Cambridge University　ケンブリッジ（イギリス）
- Year and Date
  2014-07-02
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A Mackey-functor theoretic interpretation of biset functors2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminario de algebra
- Place of Presentation
  メキシコ国立自治大学　モレリア（メキシコ）
- Year and Date
  2014-11-05
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A Mackey-functor theoretic interpretation of biset functors2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminario de algebra
- Place of Presentation
  メキシコ国立自治大学（メキシコ、モレリア）
- Year and Date
  2014-11-05
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] On the 2-category of finite sets with variable group actions2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Category Theory 2014 (ポスター発表）
- Place of Presentation
  Cambridge University（イギリス、ケンブリッジ）
- Year and Date
  2014-07-02
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] A Mackey-functor theoretic interpretation of biset functors2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire de theorie des groupes
- Place of Presentation
  Universite de Picardie-Jules Verne　アミアン（フランス）
- Year and Date
  2014-05-14
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A Mackey-functor theoretic interpretation of biset functors2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Group Theory Seminar
- Place of Presentation
  Ecole Polythechnique Federale de Lausanne（スイス、ローザンヌ）
- Year and Date
  2014-11-20
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] A Mackey-functor theoretic interpretation of biset functors2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Group Theory Seminar
- Place of Presentation
  Ecole Polythechnique Federale de Lausanne　ローザンヌ（スイス）
- Year and Date
  2014-11-20
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A Mackey-functor theoretic interpretation of biset functors2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  General seminar
- Place of Presentation
  Bilkent University（トルコ、アンカラ）
- Year and Date
  2014-05-28
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] A Mackey-functor interpretation of biset functors and applications2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Journee mathematique du LAMFA
- Place of Presentation
  Universite de Picardie-Jules Verne　アミアン（フランス）
- Year and Date
  2014-06-28
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A Mackey-functor interpretation of biset functors and applications2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Journee mathematique du LAMFA
- Place of Presentation
  Universite de Picardie-Jules Verne（フランス、アミアン）
- Year and Date
  2014-06-25
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] A Mackey-functor theoretic interpretation of biset functors2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  General seminar
- Place of Presentation
  Bilkent University　アンカラ（トルコ）
- Year and Date
  2014-05-25
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A Mackey-functor theoretic interpretation of biset functors2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Algebra and Number Theory Seminar
- Place of Presentation
  University of California Santa Cruz（アメリカ合衆国、カリフォルニア）
- Year and Date
  2014-10-29
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] A Mackey-functor theoretic interpretation of biset functors2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Algebra and Number Theory Seminar
- Place of Presentation
  University of California Santa Cruz　カリフォルニア（アメリカ合衆国）
- Year and Date
  2014-10-29
- Data Source
  KAKENHI-PROJECT-25800022
[Presentation] A Mackey-functor theoretic interpretation of biset functors2014
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire de theorie des groups
- Place of Presentation
  Universite de Picardie-Jules Verne（フランス、アミアン）
- Year and Date
  2014-05-14
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] Spectrum of the Burnside Tambara functor on a cyclic $p$-group2013
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Kindai group theory seminar
- Place of Presentation
  近畿大学
- Year and Date
  2013-01-11
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Some algebraic operations on Tambara functors on finite groups2012
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  有限群とその表現、頂点作用素代数、組合せ論の研究
- Place of Presentation
  京都大学
- Year and Date
  2012-03-06
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Construction of a (pre-)abelian category from a pair of torsion pairs on a triangulated category (※ parallel session)2012
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  International conference on Representations of Algebras 2012
- Place of Presentation
  Bielefeld 大学 (Bielefeld, ドイツ).
- Year and Date
  2012-08-14
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] On torsion pairs on triangulated categories2012
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  代数学シンポジウム
- Place of Presentation
  京都大学
- Year and Date
  2012-08-21
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Some algebraic operations on Tambara functors on finite groups2012
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  有限群とその表現、頂点作用素代数、組合せ論の研究
- Place of Presentation
  京都大学数理解析研究所(招待講演)
- Year and Date
  2012-03-06
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] On a generalization of the Dress construckion for Tamhara functors, and its application to the Witt-Burnside construction2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  第6回代数・解析・幾何学セミナー
- Place of Presentation
  鹿児島大学,鹿児島県鹿児島市
- Year and Date
  2011-02-16
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] 有限群上の丹原関手に対する代数的操作2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  有限群のコホモロジー論とその周辺
- Place of Presentation
  京都大学数理解析研究所(招待講演)
- Year and Date
  2011-09-02
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Some homological constructions on triangulated categories2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  代数幾何ワークショップ
- Place of Presentation
  東京工業大学
- Year and Date
  2011-12-07
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] On a generalization of the Dress construction for Tambara functors, and its application to the Witt-Burnside construction2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  第6回代数・解析・幾何学セミナー
- Place of Presentation
  鹿児島大学
- Year and Date
  2011-02-16
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Some homological constructions on triangulated categories2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  第10回静岡代数学セミナー
- Place of Presentation
  静岡大学理学部(招待講演)
- Year and Date
  2011-12-02
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Tambara functor as a $G$-bivariant analog of commutative ring2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  空間の代数的・幾何的モデルとその周辺
- Place of Presentation
  京都大学
- Year and Date
  2011-09-08
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] A generalization of the Dress construction for a Tambara functor, and its application to the Witt-Burnside construction2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire de theorie des groupes
- Place of Presentation
  Picardie-Jules Verne 大学 (Amiens, フランス).
- Year and Date
  2011-02-02
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] A generalization of the Dress construction for a Tambara functor, and its application to the Witt-Burnside construction2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Seminaire de theorie des groupes
- Place of Presentation
  Universite de Picardie-Jules Verne,アミアン(フランス)
- Year and Date
  2011-02-02
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Some homological constructions on triangulated categories2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  代数幾何ワークショップ
- Place of Presentation
  東京大学大学院数理科学研究科(招待講演)
- Year and Date
  2011-12-07
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Ageneralization of the Dress construction for a Tambara functor, and its application to the Witt-Burnside construction2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  代数学セミナー
- Place of Presentation
  広島大学,広島県東広島市
- Year and Date
  2011-01-07
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Some homological constructions on triangulated categories2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  第10回静岡代数学セミナー
- Place of Presentation
  静岡大学
- Year and Date
  2011-12-02
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] A generalization of the Dress construction for a Tambara functor,and its application to the Witt-Burnside construction2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  代数学セミナー
- Place of Presentation
  広島大学
- Year and Date
  2011-01-07
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Tambara functor as a SGS-bivariant analog of commutative ring2011
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  空間の代数的・幾何的モデルとその周辺
- Place of Presentation
  京都大学数理解析研究所(招待講演)
- Year and Date
  2011-09-08
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] 有限群上の丹原関手に対する代数的操作2011
- Author(s)
  中岡宏行
- Organizer
  有限群のコホモロジー論とその周辺
- Place of Presentation
  京都大学
- Year and Date
  2011-09-02
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Categorical aspect of the Witt-Burnside construction2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  第27回代数的組合せ論シンポジウム
- Place of Presentation
  高知大学,高知県高知市
- Year and Date
  2010-06-22
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] 2-category入門2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  代数幾何研究集会2010
- Place of Presentation
  法政大学,東京都小金井市
- Year and Date
  2010-07-16
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Tambarization of a Mackey functor, in relationship to the Dress and the Witt-Burnside construction2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  群論セミナー
- Place of Presentation
  北海道大学
- Year and Date
  2010-12-06
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Categorical aspect of the Witt-Burnside construction2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Lefschetz fibration and category theory
- Place of Presentation
  大阪大学
- Year and Date
  2010-06-06
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Categorical aspect of the Witt-Burnside construction2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  第27回代数的組合せ論シンポジウム
- Place of Presentation
  高知大学
- Year and Date
  2010-06-22
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] An Introduction to Triangulated Categories2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Adventures of Categories-Applied Category Theory Colloquium
- Place of Presentation
  京都大学,京都府京都市
- Year and Date
  2010-12-17
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Tambarization of a Mackey functor and an application to the Witt-Burnside construction2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  組合せ論セミナー
- Place of Presentation
  東北大学
- Year and Date
  2010-09-08
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Tambarization of a Mackey functor, in relationship to the Dress and the Witt-Burnside construction2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  群論セミナー
- Place of Presentation
  北海道大学,北海道札幌市
- Year and Date
  2010-12-06
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Categorical aspect of the witt-Burnside construction2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Lefschetz fibration and category theory
- Place of Presentation
  大阪大学,大阪府豊中市
- Year and Date
  2010-06-06
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] An Introduction to Triangulated Categories2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Adventures of Categories - Applied Category Theory Colloquium
- Place of Presentation
  京都大学
- Year and Date
  2010-12-17
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Tambarization of a Mackey functor and an application to the Witt-Burnside construction2010
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  組合せ論セミナー
- Place of Presentation
  東北大学,宮城県仙台市
- Year and Date
  2010-09-08
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] 2-category 入門2010
- Author(s)
  中岡宏行
- Organizer
  代数幾何研究集会 2010
- Place of Presentation
  法政大学
- Year and Date
  2010-07-16
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] Construction of a (pre-)abelian category from a pair of torsion pairs on a triangulated category
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  International conference on Representations of Algebras 2012 (※parallel session)
- Place of Presentation
  Bielefeld University (ドイツ)
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] Construction of a (pre-)abelian category from a pair of torsion pairs on a triangulated category
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  International conference on Representations of Algebras 2012 (parallel session)
- Place of Presentation
  Bielefeld University
- Data Source
  KAKENHI-PROJECT-22740005
[Presentation] On torsion pairs on triangulated categories
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  代数学シンポジウム
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540085
[Presentation] Spectrum of the Burnside Tambara functor on a cyclic $p$-group
- Author(s)
  Hiroyuki Nakaoka
- Organizer
  Kindai group theory seminar
- Place of Presentation
  近畿大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540085

1. YOKURA Shoji (60182680)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. MIYAJIMA Kimio (40107850)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. AIKOU Tadashi (00192831)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. OHMOTO Toru (20264400)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. YASUDA Takehiko (30507166)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 石田裕昭 (00722422)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Nakaoka Hiroyuki 中岡 宏行

HIROYUKI Nakaoka 中岡 宏行

Research Projects

Research Products

Co-Researchers

Development of unified homological algebra encompassing exact categories and triangulated categories from viewpoint of higher categories and enriched categoriesPrincipal Investigator

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完全圏と三角圏を包括する高次のホモロジー代数の応用面からの発展Principal Investigator

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Unified homological algebra encompassing exact, abelian, triangulated categories and its enhancementPrincipal Investigator

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Comprehensive studies on derived algebraic geometry, bivariant theory, topology of spaces of morphisms and related topics

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Theoretical development of homological algebra in exact categories and triangulated categoriesPrincipal Investigator

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Category theory appearing in algebra and its applicationsPrincipal Investigator

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Comprehensive studies on topology, analysis and geometry of singular spaces and related topics

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Applications of homological category theory to algebraic geometry and representation theoryPrincipal Investigator

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[Book] 圏論の技法ーアーベル圏と三角圏でのホモロジー代数ー2015

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[Journal Article] Auslander-Reiten theory in extriangulated categories2024

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[Journal Article] Localization of extriangulated categories2022

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[Journal Article] n-exangulated categories (II): Constructions from n-cluster tilting subcategories2022

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[Journal Article] Finite gentle repetitions of gentle algebras and their Avella-Alaminos--Geiss invariants2022

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[Journal Article] n-exangulated categories (I): Definitions and fundamental properties2021

Author(s)

Nakaoka Hiroyuki 中岡宏行

HIROYUKI Nakaoka 中岡宏行