# 藤田 遼

Last Update: 2021/06/24 17:02:26

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Name(Kanji/Kana/Abecedarium Latinum)

Primary Affiliation(Org1/Job title)
Research Institute for Mathematical Sciences (RIMS)/Assistant Professor
Field(Japanese) Field(English) University(Japanese) University(English) Method

ORCID ID
https://orcid.org/0000-0003-4905-2402
researchmap URL
https://researchmap.jp/ryo_fujita
Research Topics
(Japanese)

(English)
Representation Theory
Overview of the research
(Japanese)

(English)
I am working on the representation theory of algebras related to complex semisimple Lie algebras and their root systems (such as Hecke algebras, quantum groups etc.) with particular interests in their module categories and related geometric structures. Currently, my research tends to focus on the representation theory of quantum affine algebras.
Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type
Ryo Fujita, Se-jin Oh Ryo Fujita, Se-jin Oh Ryo Fujita, Se-jin Oh Q-data and Representation Theory of Untwisted Quantum Affine Algebras Q-data and Representation Theory of Untwisted Quantum Affine Algebras Q-data and Representation Theory of Untwisted Quantum Affine Algebras Communications in Mathematical Physics, 384, 2, 1351-1407 Communications in Mathematical Physics, 384, 2, 1351-1407 Communications in Mathematical Physics, 384, 2, 1351-1407 2021/06 Refereed Research paper(scientific journal)
Michael Finkelberg, Ryo Fujita Michael Finkelberg, Ryo Fujita Michael Finkelberg, Ryo Fujita Coherent IC-sheaves on type $A_{n}$ affine Grassmannians and dual canonical basis of affine type $A_{1}$ Coherent IC-sheaves on type $A_{n}$ affine Grassmannians and dual canonical basis of affine type $A_{1}$ Coherent IC-sheaves on type $A_{n}$ affine Grassmannians and dual canonical basis of affine type $A_{1}$ Representation Theory of the American Mathematical Society, 25, 3, 67-89 Representation Theory of the American Mathematical Society, 25, 3, 67-89 Representation Theory of the American Mathematical Society, 25, 3, 67-89 2021/01/28 Refereed Research paper(scientific journal)
Ryo Fujita Ryo Fujita Ryo Fujita Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality International Mathematics Research Notices, 2020, 22, 8353-8386 International Mathematics Research Notices, 2020, 22, 8353-8386 International Mathematics Research Notices, 2020, 22, 8353-8386 2018/10/09 Refereed Research paper(scientific journal)
Ryo Fujita Ryo Fujita Ryo Fujita Tilting modules of affine quasi-hereditary algebras Tilting modules of affine quasi-hereditary algebras Tilting modules of affine quasi-hereditary algebras Advances in Mathematics, 324, 241-266 Advances in Mathematics, 324, 241-266 Advances in Mathematics, 324, 241-266 2018/01 Refereed Research paper(scientific journal)
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Misc
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type
Ryo Fujita, David Hernandez, Se-jin Oh, Hironori Oya Ryo Fujita, David Hernandez, Se-jin Oh, Hironori Oya Ryo Fujita, David Hernandez, Se-jin Oh, Hironori Oya Isomorphisms among quantum Grothendieck rings and propagation of positivity Isomorphisms among quantum Grothendieck rings and propagation of positivity Isomorphisms among quantum Grothendieck rings and propagation of positivity 2021/01/19
Ryo Fujita Ryo Fujita Ryo Fujita Graded quiver varieties and singularities of normalized R-matrices for fundamental modules Graded quiver varieties and singularities of normalized R-matrices for fundamental modules Graded quiver varieties and singularities of normalized R-matrices for fundamental modules 2019/11/28
Ryo Fujita Ryo Fujita Ryo Fujita Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types 2017/10/31
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Conference Activities & Talks
Title Title(Japanese) Title(English) Conference Conference(Japanese) Conference(English) Promotor Promotor(Japanese) Promotor(English) Date Language Assortment
Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum loop algebra Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum loop algebra Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum loop algebra Colloque Tournant 2021 du GDR Théorie de Lie Algébrique et Géométrique Colloque Tournant 2021 du GDR Théorie de Lie Algébrique et Géométrique Colloque Tournant 2021 du GDR Théorie de Lie Algébrique et Géométrique 2021/03/25
Isomorphisms among quantum Grothendieck rings and propagation of positivity Isomorphisms among quantum Grothendieck rings and propagation of positivity Isomorphisms among quantum Grothendieck rings and propagation of positivity Séminaire d'algèbre à Paris (online) Séminaire d'algèbre à Paris (online) Séminaire d'algèbre à Paris (online) 2021/03/08 English
Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum loop algebra Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum loop algebra Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum loop algebra 16th Algebra-Analysis-Geometry Seminar (online) 第16回代数解析幾何学セミナー（オンライン） 16th Algebra-Analysis-Geometry Seminar (online) 2021/02/17 Japanese
Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum affine algebra Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum affine algebra Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum affine algebra Séminaire d'algèbre et de géométrie à Caen (online) Séminaire d'algèbre et de géométrie à Caen (online) Séminaire d'algèbre et de géométrie à Caen (online) 2021/02/09 English
Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum affine algebra Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum affine algebra Positivity of an analog of Kazhdan-Lusztig polynomials for finite-dimensional representations of quantum affine algebra UC Riverside, Lie theory seminar (online) UC Riverside, Lie theory seminar (online) UC Riverside, Lie theory seminar (online) 2021/02/02 English
Twisted Auslander-Reiten quivers, quantum Cartan matrix and representation theory of quantum affine algebras Twisted Auslander-Reiten quivers, quantum Cartan matrix and representation theory of quantum affine algebras Twisted Auslander-Reiten quivers, quantum Cartan matrix and representation theory of quantum affine algebras Paris Algebra Seminar (online) パリ代数セミナー（オンライン） Paris Algebra Seminar (online) 2020/10/12 English
Singularities of R-matrices, graded quiver varieties and generalized quantum affine Schur-Weyl duality Singularities of R-matrices, graded quiver varieties and generalized quantum affine Schur-Weyl duality Singularities of R-matrices, graded quiver varieties and generalized quantum affine Schur-Weyl duality Minami-Osaka Daisuu Seminar (online) 南大阪代数セミナー（オンライン） Minami-Osaka Daisuu Seminar (online) 2020/05/22 Japanese Public discourse, seminar, tutorial, course, lecture and others
Singularities of R-matrices, graded quiver varieties and generalized quantum affine Schur-Weyl duality Singularities of R-matrices, graded quiver varieties and generalized quantum affine Schur-Weyl duality Singularities of R-matrices, graded quiver varieties and generalized quantum affine Schur-Weyl duality Representation Theory Seminar at Melbourne (online) Representation Theory Seminar at Melbourne (online) Representation Theory Seminar at Melbourne (online) 2020/04/28 English Public discourse, seminar, tutorial, course, lecture and others
Graded quiver varieties and singularities of normalized R-matrices for fundamental modules Graded quiver varieties and singularities of normalized R-matrices for fundamental modules Graded quiver varieties and singularities of normalized R-matrices for fundamental modules Workshop on Quiver varieties, character varieties and DT-invariants Workshop on Quiver varieties, character varieties and DT-invariants Workshop on Quiver varieties, character varieties and DT-invariants 2020/02/27 English Oral presentation(general)
Graded quiver varieties and singularities of normalized R-matrices for fundamental modules Graded quiver varieties and singularities of normalized R-matrices for fundamental modules Graded quiver varieties and singularities of normalized R-matrices for fundamental modules Workshop on Geometric Representation Theory and Quantum Field Theories Workshop on Geometric Representation Theory and Quantum Field Theories Workshop on Geometric Representation Theory and Quantum Field Theories 2019/12/20 English Oral presentation(general)
ADE型アフィン量子群の基本表現の間のR行列の特異性について ADE型アフィン量子群の基本表現の間のR行列の特異性について 半田山・幾何・代数セミナー 半田山・幾何・代数セミナー 2019/12/05 Japanese Public discourse, seminar, tutorial, course, lecture and others
Graded quiver varieties and normalized R-matrices for fundamental modules Graded quiver varieties and normalized R-matrices for fundamental modules Graded quiver varieties and normalized R-matrices for fundamental modules RIMS Workshop: Representation Theory of Algebraic Groups and Quantum Groups RIMS Workshop: Representation Theory of Algebraic Groups and Quantum Groups RIMS Workshop: Representation Theory of Algebraic Groups and Quantum Groups 2019/10/23 English Oral presentation(general)
Quantum affine Schur-Weyl duality associated with a Dynkin quiver Dynkin箙に付随する量子アフィン型Schur-Weyl双対性 Quantum affine Schur-Weyl duality associated with a Dynkin quiver Autumn meeting of MSJ, 2019 日本数学会秋季総合分科会 無限可積分系セッション特別講演 Autumn meeting of MSJ, 2019 2019/09/17 Japanese Oral presentation(invited, special)
Coherent IC-sheaves on type $A_{n}$ affine Grassmannians and the dual canonical basis of affine type $A_{1}$ Coherent IC-sheaves on type $A_{n}$ affine Grassmannians and the dual canonical basis of affine type $A_{1}$ Coherent IC-sheaves on type $A_{n}$ affine Grassmannians and the dual canonical basis of affine type $A_{1}$ Cluster Algebra 2019 RIMS研究集会 Cluster Algebra 2019 Cluster Algebra 2019 2019/06/21 English Poster presentation
Equivariant $K$ -ring of $GL_n$ affine Grassmannian and a quantum unipotent cell of $LSL_2$ Equivariant $K$ -ring of $GL_n$ affine Grassmannian and a quantum unipotent cell of $LSL_2$ Equivariant $K$ -ring of $GL_n$ affine Grassmannian and a quantum unipotent cell of $LSL_2$ Algebraic Lie Theory and Representation Theory 2019 Algebraic Lie Theory and Representation Theory 2019 Algebraic Lie Theory and Representation Theory 2019 2019/05/26 Japanese Oral presentation(general)
Coherent IC-sheaves on type $A_n$ affine Grassmannians and dual canonical basis of affine type $A_1$ Coherent IC-sheaves on type $A_n$ affine Grassmannians and dual canonical basis of affine type $A_1$ Coherent IC-sheaves on type $A_n$ affine Grassmannians and dual canonical basis of affine type $A_1$ MS seminar MS seminar MS seminar 2019/04/11 English Public discourse, seminar, tutorial, course, lecture and others
Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Infinite Analysis 19: Quantum symmetries and integrable systems Infinite Analysis 19: Quantum symmetries and integrable systems Infinite Analysis 19: Quantum symmetries and integrable systems 2019/03/05 English Oral presentation(general)
Coherent IC-sheaves on type $A_n$ affine Grassmannians and dual canonical basis of affine type $A_1$ Coherent IC-sheaves on type $A_n$ affine Grassmannians and dual canonical basis of affine type $A_1$ Coherent IC-sheaves on type $A_n$ affine Grassmannians and dual canonical basis of affine type $A_1$ Mini-workshop on representation theory Mini-workshop on representation theory Mini-workshop on representation theory 2019/02/14 English Oral presentation(general)
Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Conference on Algebraic Representation Theory Conference on Algebraic Representation Theory Conference on Algebraic Representation Theory 2018/11/30 English Oral presentation(general)
Geometric realization of Dynkin quiver type Schur-Weyl duality Geometric realization of Dynkin quiver type Schur-Weyl duality Geometric realization of Dynkin quiver type Schur-Weyl duality Infinite dimensional algebras, geometry and integrable systems Infinite dimensional algebras, geometry and integrable systems Infinite dimensional algebras, geometry and integrable systems 2018/11/04 English Oral presentation(general)
Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality The 4th KTGU Mathematics Workshop for Young Researchers The 4th KTGU Mathematics Workshop for Young Researchers The 4th KTGU Mathematics Workshop for Young Researchers 2018/09/29 English Oral presentation(general)
Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality AMS-CMS Joint International Meeting, Special Session ``Geometric Representation Theory and Langlands Program'' AMS-CMS Joint International Meeting, Special Session ``Geometric Representation Theory and Langlands Program'' AMS-CMS Joint International Meeting, Special Session ``Geometric Representation Theory and Langlands Program'' 2018/06/19 English Oral presentation(general)
Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Seminar on Mathematical Physics 数理物理セミナー Seminar on Mathematical Physics 2018/04/18 English Public discourse, seminar, tutorial, course, lecture and others
Affine highest weight categories and Dynkin quiver type quantum affine Schur-Weyl duality アフィン最高ウェイト圏とDynkin箙型量子アフィンSchur-Weyl双対性 Affine highest weight categories and Dynkin quiver type quantum affine Schur-Weyl duality Annual meeting of MSJ, 2018 日本数学会2018年度年会 代数学セッション一般講演 Annual meeting of MSJ, 2018 2018/03/19 Japanese Oral presentation(general)
Tilting modules in affine highest weight categories and the Arakawa-Suzuki functor アフィン最高ウェイト圏における傾加群と荒川-鈴木関手 Tilting modules in affine highest weight categories and the Arakawa-Suzuki functor Annual meeting of MSJ, 2018 日本数学会2018年度年会 代数学セッション一般講演 Annual meeting of MSJ, 2018 2018/03/19 Japanese Oral presentation(general)
Dynkin箙型量子アフィンSchur-Weyl双対性について Dynkin箙型量子アフィンSchur-Weyl双対性について 第23回代数学若手研究会 第23回代数学若手研究会 2018/03/08 Japanese Oral presentation(general)
Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality The 3rd KTGU Mathematics Workshop for Young Researchers The 3rd KTGU Mathematics Workshop for Young Researchers The 3rd KTGU Mathematics Workshop for Young Researchers 2018/02/17 English Poster presentation
Dynkin箙型量子アフィンSchur-Weyl双対性について Dynkin箙型量子アフィンSchur-Weyl双対性について 第1回数理新人セミナー 第1回数理新人セミナー 2018/01/14 Japanese Oral presentation(general)
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types S\'{e}minaire d'Alg\`{e}bre 代数セミナー S\'{e}minaire d'Alg\`{e}bre 2018/01/08 English Public discourse, seminar, tutorial, course, lecture and others
Affine highest weight categories for quantum loop algebras of Dynkin types Affine highest weight categories for quantum loop algebras of Dynkin types Affine highest weight categories for quantum loop algebras of Dynkin types Minami-Osaka Daisuu Seminar 南大阪代数セミナー Minami-Osaka Daisuu Seminar 2017/11/29 Japanese Public discourse, seminar, tutorial, course, lecture and others
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types Representation Theory Seminar Representation Theory Seminar Representation Theory Seminar 2017/11/15 English Public discourse, seminar, tutorial, course, lecture and others
アフィン最高ウェイト構造とDynkin箙型量子アフィンSchur-Weyl双対性 アフィン最高ウェイト構造とDynkin箙型量子アフィンSchur-Weyl双対性 信州代数セミナー 信州代数セミナー 2017/11/06 Japanese Public discourse, seminar, tutorial, course, lecture and others
Affine highest weight categories for quantum loop algebras of Dynkin types Affine highest weight categories for quantum loop algebras of Dynkin types Affine highest weight categories for quantum loop algebras of Dynkin types Kyoto Representation Theory Seminar 京都表現論セミナー Kyoto Representation Theory Seminar 2017/10/05 Japanese
アフィン最高ウェイト圏とSchur-Weyl双対性 アフィン最高ウェイト圏とSchur-Weyl双対性 代数セミナー 代数セミナー 2017/09/05 Japanese Public discourse, seminar, tutorial, course, lecture and others
Tilting modules in affine highest weight categories Tilting modules in affine highest weight categories Tilting modules in affine highest weight categories Algebraic Lie Theory and Representation Theory 2017 Algebraic Lie Theory and Representation Theory 2017 Algebraic Lie Theory and Representation Theory 2017 2017/06/11 Japanese Oral presentation(general)
Tilting modules in affine highest weight categories Tilting modules in affine highest weight categories Tilting modules in affine highest weight categories Lie Theory Seminar Lie Theory Seminar Lie Theory Seminar 2017/03/07 English Public discourse, seminar, tutorial, course, lecture and others
アフィン最高ウェイト圏における傾加群とその応用 アフィン最高ウェイト圏における傾加群とその応用 第14回城崎新人セミナー 第14回城崎新人セミナー 2017/02/15 Japanese Poster presentation
アフィン最高ウェイト圏における傾加群とその応用 アフィン最高ウェイト圏における傾加群とその応用 神戸可積分系セミナー 神戸可積分系セミナー 2016/12/14 Japanese Public discourse, seminar, tutorial, course, lecture and others
Arakawa-Suzuki functor on the deformed BGG category of $\mathfrak{gl}_m$ Arakawa-Suzuki functor on the deformed BGG category of $\mathfrak{gl}_m$ Arakawa-Suzuki functor on the deformed BGG category of $\mathfrak{gl}_m$ Conference on Algebraic Representation Theory Conference on Algebraic Representation Theory Conference on Algebraic Representation Theory 2016/12/05 English Oral presentation(general)
The Arakawa-Suzuki functor on the deformed BGG category of the general linear Lie algebra The Arakawa-Suzuki functor on the deformed BGG category of the general linear Lie algebra The Arakawa-Suzuki functor on the deformed BGG category of the general linear Lie algebra Symposium on Representation Theory 表現論シンポジウム Symposium on Representation Theory 2016/12/02 Japanese Oral presentation(general)
Tilting modules of affine quasi-hereditary algebras Tilting modules of affine quasi-hereditary algebras Tilting modules of affine quasi-hereditary algebras Kyoto Representation Theory Seminar 京都表現論セミナー Kyoto Representation Theory Seminar 2016/10/07 English Public discourse, seminar, tutorial, course, lecture and others

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