Publications
Preprints
- (with Yann Palu) Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories, arXiv:1605.05607.
- A simultaneous generalization of mutation and recollement on a triangulated category, arXiv:1512.02173.
Articles
- Biset Functors as Module Mackey Functors and its Relation to Derivators
Communications in Algebra, 44 (2016) 5105--5148.
- Equivalence of Hearts of Twin Cotorsion Pairs on Triangulated Categories
Communications in Algebra, 44 (2016) 4302--4326.
- Partial Tambara structure on the Burnside biset functor, induced from a derivator-like system of adjoint triplets
Journal of Algebra, 451 (2016) 166--207.
- A Mackey-functor theoretic interpretation of biset functors
Advances in Mathematics, 289 (2016) 603--684.
- Biset transformations of Tambara functors
Journal of Algebra, 399 (2014) 904--926.
- The spectrum of the Burnside Tambara functor on a finite cyclic p-group
Journal of Algebra, 398 (2014) 21--54.
- A generalization of The Dress construction for a Tambara functor, and polynomial Tambara functors
Advances in Mathematics, 235 (2013) 237--260.
- General heart construction for twin torsion pairs on triangulated categories
Journal of Algebra, 374 (2013) 195--215.
- On the fractions of semi-Mackey and Tambara functors
Journal of Algebra, 352 (2012) no.1,79--103.
- Ideals of Tambara functors
Advances in Mathematics, 230 (2012) no.4-6, 2295--2331.
- (with Noriyuki Abe) General heart construction on a triangulated category (II): Associated homological functor
Applied Categorical Structures, 20 (2012) no.2, 161--174.
- Tambarization of a Mackey functor and its application to the Witt-Burnside construction
Advances in Mathematics, 227 (2011), no.5, 2107-2143.
- General heart construction on a triangulated category (I): Unifying t-structures and cluster tilting subcategories
Applied Categorical Structures, 19 (2011) no.6, 879--899.
- Comparison of the definitions of Abelian 2-categories
Tsukuba Journal of Mathematics, 34 (2010), No.2, 173--182.
- Tambara functors on profinite groups and generalized Burnside functors
Communications in Algebra 37 (2009) no.9, 3095--3151.
- Cohomology theory in 2-categories
Theory and Applications of Categories 20 (2008), No.16, 542--604.
- Structure of the Brauer ring of a field extension
Illinois Journal of Mathematics 52 (2008), no.1, 261--277.
Books (in Japanese)
- 「圏論の技法 ―アーベル圏と三角圏でのホモロジー代数―」 日本評論社 487頁 (2015)
- 「圏論の歩き方」(分担執筆、第13章P.213-229を阿部弘樹さんと共著) 日本評論社 (2015)
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- Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories, Triangulated Categories and Applications,BIRS,June 2016.
- An interpretation of biset functors as Mackey functors on finite groupoids, and its relation to derivators, Equivariant Derived Algebraic Geometry, BIRS, Feb. 2016.
- Toward the denition of Tambara biset functor, Functorial Methods in Representation Theory, Ecole Polytechnique Fédérale de Lausanne, Sept. 2015.
- A Mackey-functor interpretation of biset functors and applications, Journée mathématique du LAMFA, Université de Picardie Jules-Verne, June 2014.
- (poster session) On the 2-category of finite sets with variable group actions, Category Theory 2014, Cambridge University, July 2014.
- On torsion pairs on triangulated categories, 代数学シンポジウム, Kyoto University, Aug. 2012.
- (parallel session)Construction of a (pre-)abelian category from a pair of torsion pairs on a triangulated category, ICRA 2012, Universität Bielefeld, Aug. 2012.
- Some algebraic operations on Tambara functors on finite groups, 有限群とその表現, 頂点作用素代数, 代数的組合せ論の研究 , RIMS, Kyoto University, Mar. 2012.
- Some homological constructions on triangulated categories, 代数幾何ワークショップ, the University of Tokyo, Dec. 2011.
- Some homological constructions on triangulated categories, 第10回 静岡代数学セミナー, Shizuoka University, Dec. 2011.
- Tambara functor as a $G$-bivariant analog of commutative ring, 空間の代数的・幾何的モデルとその周辺, RIMS, Kyoto University, Sept. 2011.
- Some algebraic operations on Tambara functors on finite groups, 有限群のコホモロジー論とその周辺, RIMS, Kyoto University, Sept. 2011.
- On a generalization of the Dress construction for Tambara functors, and its application to the Witt-Burnside construction, 6th AAG seminar, Kagoshima University, Feb. 2011
- An Introduction to Triangulated Categories, Adventures of Categories - Applied Category Theory Colloquium, Kyoto University, Dec. 2010.
- Introduction to 2-categories, 代数幾何研究集会2010, Hosei University,Sep. 2010.
- Categorical aspect of the Witt-Burnside construction, 第27回代数的組合せ論シンポジウム, Kochi University, June 2010.
- Categorical aspect of the Witt-Burnside construction, Lefschetz fibration and category theory, Osaka University, June 2010.
- On some homological constructions concerning abelian and triangulated categories, 5th AAG seminar, Kagoshima University, Feb. 2010.
- General heart construction on a triangulated category, Category Theory, Computer Science and Topology, Shinshu University, Oct. 2009.
- General heart construction on a triangulated category, Complex algebraic geometry, Oberwolfach, Germany, Sep. 2009.
- Cohomology theory in 2-categories: Definitions and Comparison, 高次圏による表現論・ホモトピー代数・代数幾何学, Kyoto University, Sep. 2009.
- Introduction to the 2-categorical homological algebra, Math.-String seminar, IPMU Mar. 2009.
- Mackey functorの随伴性を用いたある種の環の構造決定について, 高次元代数多様体とベクトル束, 京都大学数理解析研究所 2007年7月.
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