Oya Hironori 大矢浩徳

Researcher Number	90835505
Other IDs
Affiliation (Current)	2025: 東京科学大学, 理学院, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 東京工業大学, 理学院, 准教授 2021: 芝浦工業大学, システム理工学部, 准教授 2019 – 2020: 芝浦工業大学, システム理工学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related
Keywords	Principal Investigator (q,t)-指標 / クラスター代数 / 量子Grothendieck環 / 有限次元表現論 / 量子ループ代数 / Grothendieck環 / 表現圏 / Langlands双対 / 量子アフィン代数 / Schubert多様体 / Newton-Okounkov凸体 / 団代数 / q-指標

Research Projects
(2 results)
Research Products
(19 results)

Similarities in representation theory of quantum loop algebras of several types and their developmentsPrincipal Investigator
- Principal Investigator
  
  大矢浩徳
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo Institute of Technology
Investigation of similarities in representation theory of quantum affine algebras of several different Dynkin typesPrincipal Investigator
- Principal Investigator
  
  Oya Hironori
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo Institute of Technology
  Shibaura Institute of Technology

All 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] Wilson lines and their Laurent positivity2023
- Author(s)
  Ishibashi Tsukasa、Oya Hironori
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 305 Issue: 2
- DOI
  10.1007/s00209-023-03355-x
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23K12950
[Journal Article] A=U for cluster algebras from moduli spaces of G-local systems2023
- Author(s)
  Ishibashi Tsukasa、Oya Hironori、Shen Linhui
- Journal Title
  
  Advances in Mathematics
  
  Volume: 431 Pages: 109256-109256
- DOI
  10.1016/j.aim.2023.109256
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12950
[Journal Article] Isomorphisms among quantum Grothendieck rings and propagation of positivity2022
- Author(s)
  Fujita Ryo、Hernandez David、Oh Se-jin、Oya Hironori
- Journal Title
  
  Journal fur die reine und angewandte Mathematik (Crelles Journal)
  
  Volume: 2022 Issue: 785 Pages: 117-185
- DOI
  10.1515/crelle-2021-0088
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14515
[Journal Article] Cluster realizations of Weyl groups and higher Teichmuller theory2021
- Author(s)
  Rei Inoue, Tsukasa Ishibashi, Hironori Oya
- Journal Title
  
  Selecta Mathematica. New Series
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14515
[Journal Article] Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm2019
- Author(s)
  David Hernandez、Hironori Oya
- Journal Title
  
  Advances in Mathematics
  
  Volume: 347 Pages: 192-272
- DOI
  10.1016/j.aim.2019.02.024
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] Isomorphisms among quantum Grothendieck rings and their applications2023
- Author(s)
  大矢　浩徳
- Organizer
  Representation theory and geometry of loop spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] Relations among the q-characters of simple modules over quantum loop algebras of several Dynkin types2023
- Author(s)
  大矢　浩徳
- Organizer
  Integrable Systems and Quantum Groups -In Honor of Masato Okado's 60th Birthday-
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] 量子ループ代数の表現論におけるクラスター代数構造の応用について2023
- Author(s)
  大矢　浩徳
- Organizer
  第18回代数・解析・幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] Isomorphisms among quantum Grothendieck rings and their applications2022
- Author(s)
  大矢　浩徳
- Organizer
  Quantum Groups and Cluster Algebras
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] Wilson lines on the moduli space of G-local systems on a marked surface2022
- Author(s)
  大矢　浩徳
- Organizer
  Geometry, Algebra and Physics Seminar at KIAS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] Wilson lines on the moduli space of decorated twisted G-local systems on a marked surface2022
- Author(s)
  大矢　浩徳
- Organizer
  Conference on Algebraic Representation Theory 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] 量子ループ代数の表現論におけるクラスター代数構造の応用について2022
- Author(s)
  大矢　浩徳
- Organizer
  大岡山談話会
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] 様々な型の量子Grothendieck環の間の同型とその応用2022
- Author(s)
  大矢　浩徳
- Organizer
  第82回芝浦工大数理科学科談話会
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] 捻り写像とその応用について2021
- Author(s)
  大矢　浩徳
- Organizer
  日本数学会2021年度秋季総合分科会・無限可積分系セッション特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] Systematic construction of isomorphisms among quantum Grothendieck rings2021
- Author(s)
  大矢　浩徳
- Organizer
  表現論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] Isomorphisms among quantum Grothendieck rings and their applications2021
- Author(s)
  大矢　浩徳
- Organizer
  Infinite Analysis 21 Workshop Around Cluster Algebras
- Invited
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] Newton-Okounkov polytopes of Schubert varieties arising from cluster structures and representation-theoretic polytopes2020
- Author(s)
  大矢　浩徳
- Organizer
  Seminaire d'Algebre
- Invited
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] 非対称型量子ループ代数の既約表現のq-指標について2019
- Author(s)
  大矢　浩徳
- Organizer
  第64回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K14515
[Presentation] Cluster algebras and calculation of q-characters of simple modules over quantum loop algebras of non-symmetric type2019
- Author(s)
  大矢　浩徳
- Organizer
  Representation Theory of Algebraic Groups and Quantum Groups -- in honor of Professor Ariki's 60th birthday --
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14515

Oya Hironori 大矢 浩徳

Research Projects

Research Products

Similarities in representation theory of quantum loop algebras of several types and their developmentsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Investigation of similarities in representation theory of quantum affine algebras of several different Dynkin typesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Wilson lines and their Laurent positivity2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A=U for cluster algebras from moduli spaces of G-local systems2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Isomorphisms among quantum Grothendieck rings and propagation of positivity2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Cluster realizations of Weyl groups and higher Teichmuller theory2021

Author(s)

Journal Title

Data Source

[Journal Article] Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm2019

Author(s)

Journal Title

DOI

Data Source

[Presentation] Isomorphisms among quantum Grothendieck rings and their applications2023

Author(s)

Organizer

Data Source

[Presentation] Relations among the q-characters of simple modules over quantum loop algebras of several Dynkin types2023

Author(s)

Organizer

Data Source

[Presentation] 量子ループ代数の表現論におけるクラスター代数構造の応用について2023

Author(s)

Organizer

Data Source

[Presentation] Isomorphisms among quantum Grothendieck rings and their applications2022

Author(s)

Organizer

Data Source

[Presentation] Wilson lines on the moduli space of G-local systems on a marked surface2022

Author(s)

Organizer

Data Source

[Presentation] Wilson lines on the moduli space of decorated twisted G-local systems on a marked surface2022

Author(s)

Organizer

Data Source

[Presentation] 量子ループ代数の表現論におけるクラスター代数構造の応用について2022

Author(s)

Organizer

Data Source

[Presentation] 様々な型の量子Grothendieck環の間の同型とその応用2022

Author(s)

Organizer

Data Source

[Presentation] 捻り写像とその応用について2021

Author(s)

Organizer

Data Source

[Presentation] Systematic construction of isomorphisms among quantum Grothendieck rings2021

Author(s)

Organizer

Data Source

[Presentation] Isomorphisms among quantum Grothendieck rings and their applications2021

Oya Hironori 大矢浩徳