Satoh Takao 佐藤隆夫

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SATOH Takao 佐藤隆夫

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Researcher Number	70533256
Other IDs
Affiliation (Current)	2025: 東京理科大学, 理学部第二部数学科, 教授
Affiliation (based on the past Project Information) *help	2020 – 2025: 東京理科大学, 理学部第二部数学科, 教授 2016 – 2020: 東京理科大学, 理学部第二部数学科, 准教授 2015 – 2017: 東京理科大学, 理学部第二部, 准教授 2016: 東京理科大学, 第二理学部, 講師 2015: 東京理科大学, 理学部, 准教授 … More 2011 – 2014: 東京理科大学, 理学部, 講師 2011: 東京理科大学, 理学部・第二部・数学科, 講師 2011: 東京理科大学, 理学部第二部・数学科, 講師 2010: 京都大学, 理学研究科, 特定助教(グローバルCOE) 2009: Kyoto University, 大学院・理学研究科, 特定助教(グローバルCOE) Less
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry Except Principal Investigator Geometry / Basic Section 11020:Geometry-related
Keywords	Principal Investigator Johnson準同型 / 自由群の自己同型群 / 群のコホモロジー / 非安定コホモロジー / ジョンソン準同型 / Outer space / IA自己同型群 / 曲面の写像類群 / リー代数 / McCool群 … More / 組みひも群 / ねじれ係数コホモロジー / 代数的位相幾何学 / 群の表現論 / 群のホモロジー / Andreadakis予想 / Torelli群 / Fricke指標 / SL_2普遍指標環 / SL_2 Fricke指標環 / 写像類群 / Magnus表現 / IA-自己同型群 … More Except Principal Investigator 写像類群 / 増大級数 / トポロジー / ブレイド群 / 随伴群 / 測地的代表元 / ケーリー・グラフ / ジョンソン準同型 / マグナス展開 / ゴールドマン・トゥラエフ・リー双代数 / トゥラエフ余括弧積 / リーマン面 / 二面体群 / オートマトン / アルティン群 / 離散群 / 幾何学的群論 / コクセター・カンドル / 増大度 / ガーサイド標準形 / ザイフェルトファイバー空間 / ケーリーグラフ / スータブル・スプレッド法 / ガ―サイド標準形 / 基本群 / ザイフェルト・ファイバー空間 / 非可換ポアソン幾何 / ベルヌーイ数 / 柏原・ヴェルニュ問題 / モジュライ空間 / リー代数アーベル化 / フレーミング / ゴールドマン括弧積 / 柏原ヴェルニュ問題 / 融合積 / ザイフェルト束 / トーラス結び目群 / 有理関数表示 / 有限生成群 / 消滅定理 / crossed module / 交代群 / カンドル / 群のコホモロジー / Artin群 / Coxeter群 / ホモロジカル・ゴールドマン・リー代数 / 形式的シンプレクティック幾何学 / ファットグラフ / 榎本-佐藤トレース / 無限次元リー代数 / 発散コサイクル / 榎本佐藤トレース / 正則ホモトピー / ゴールドマン・リー代数 / ２面体型 / 変形空間 / 双曲群 / ピソ数 / 二面体型 / 増大関数 / 双曲幾何 / 幾何学 Less

自由リー代数の特殊微分代数と組みひも群のJohnson準同型に関する研究Principal Investigator
- Principal Investigator
  
  佐藤隆夫
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo University of Science
コクセター・カンドルの随伴群とブレイド群の幾何と増大級数
- Principal Investigator
  
  藤井道彦
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of the Ryukyus
Studies on unstable cohomologies of the automorphism groups of free groups and its associated Lie algebrasPrincipal Investigator
- Principal Investigator
  
  佐藤隆夫
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo University of Science
Study on cohomologies of automorphism groups of free groups focued on the unstable rangePrincipal Investigator
- Principal Investigator
  
  Satoh Takao
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo University of Science
Geometry of the braid groups and mapping class groups and their growth
- Principal Investigator
  
  Fujii Michihiko
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of the Ryukyus
Studies of higher twisted cohomology groups of automorphism groups of free groupsPrincipal Investigator
- Principal Investigator
  
  Satoh Takao
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
Topological studies on Riemann surfaces through Lie bialgebras
- Principal Investigator
  
  Kawazumi Nariya
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Cohomology of mapping class groups, Coxeter groups and Artin groups
- Principal Investigator
  
  Akita Toshiyuki
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Topology of discrete groups and growth series
- Principal Investigator
  
  Fujii Michihiko
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  University of the Ryukyus
  Kyoto University
The focused study of automorphism groups of free groups and the mapping class groups for the Johnson homomorphismsPrincipal Investigator
- Principal Investigator
  
  Satoh Takao
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
Topological study of Riemann surfaces through infinite-dimensional Lie algebras
- Principal Investigator
  
  Kawazumi Nariya
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Deformation spaces of discrete groups and growth functions
- Principal Investigator
  
  FUJII MICHIHIKO
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
A research of the automorphism group of a free groupPrincipal Investigator
- Principal Investigator
  
  SATOH Takao
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
  Kyoto University

All 2023 2022 2021 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 Other

All Journal Article Presentation

[Journal Article] The third subgroup of the Andreadakis-Johnson filtration of the automorphism group of a free group2019
- Author(s)
  Takao Satoh
- Journal Title
  
  J. Group Theory
  
  Volume: 22 Pages: 41-61
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05155
[Journal Article] The third subgroup of the Andreadakis-Johnson filtration of the automorphism group of a free group2019
- Author(s)
  Takao Satoh
- Journal Title
  
  Journal of Group Theory
  
  Volume: 22 Pages: 41-61
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05155
[Journal Article] The geodesic growth series for pure Artin groups of dihedral type2017
- Author(s)
  Michihiko Fujii and Takao Satoh
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400086
[Journal Article] On the basis-conjugating automorphism groups of free groups and free metabelian groups2015
- Author(s)
  Takao Satoh
- Journal Title
  
  Mathematical Proceedings Cambridge Philosophical Society
  
  Volume: 158 Pages: 83-109
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740051
[Journal Article] On the graded quotients of the ring of Fricke characters of a free group2015
- Author(s)
  Eri Hatakenaka and Takao Satoh
- Journal Title
  
  Journal of Algebra
  
  Volume: 430 Pages: 94-118
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740051
[Journal Article] The Johnson-Morita theory for the ring of Fricke characters of free groups2015
- Author(s)
  Takao Satoh
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 275 Pages: 443-461
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740051
[Journal Article] On the rings of Fricke characters of free abelian groups2015
- Author(s)
  Eri Hatakenaka and Takao Satoh
- Journal Title
  
  Journal of Commutative Algebra
  
  Volume: 7 Pages: 545-565
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740051
[Journal Article] The growth series for pure Artin monoids of dihendral type2014
- Author(s)
  Michihiko Fujii and Takao Satoh
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B48 Pages: 111-130
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400086
[Journal Article] A ｎecessary condition for representatives of elements of Artin groups of dihedral type to be geodesic2013
- Author(s)
  Michihiko Fujii and Takao Satoh
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 43 Pages: 139-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540085
[Journal Article] First cohomologies and the Johnson homomorphisms of the automorphism group of a free group2013
- Author(s)
  Takao Satoh
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 217 Issue: 1 Pages: 137-152
- DOI
  10.1016/j.jpaa.2012.06.017
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540085
[Journal Article] A necessary condition for representatives of elements of Artin groups of dihedral type2013
- Author(s)
  M. Fujii and Takao Satoh
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 43 Pages: 139-147
- URL
  http://projecteuclid.org/euclid.hmj
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540085
[Journal Article] On the augmentation quotients of the IA-automorphism group of a free group2012
- Author(s)
  Takao Satoh
- Journal Title
  
  Algebraic and Geometric Topology
  
  Volume: 12 Issue: 2 Pages: 1239-1263
- DOI
  10.2140/agt.2012.12.1239
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540085
[Journal Article] On the lower central series of the IA-automorphism groups of a free group2012
- Author(s)
  Takao Satoh
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 216 Issue: 3 Pages: 709-717
- DOI
  10.1016/j.jpaa.2011.08.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540085
[Journal Article] On the lower central series of the IA-automorphism group of a free group2012
- Author(s)
  Takao Satoh
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 216 Pages: 709-717
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Journal Article] On the Johnson filtration of the basis-conjugating automorphism group of a free group2012
- Author(s)
  Takao Satoh
- Journal Title
  
  Michigan Mathematical Journal
  
  Volume: 61 Pages: 87-105
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Journal Article] On the derivation algebra of the free Lie algebra and trace maps2011
- Author(s)
  Naoya Enomoto and Takao Satoh
- Journal Title
  
  Algebraic & Geometric Topology
  
  Volume: 11 Issue: 5 Pages: 2861-2901
- DOI
  10.2140/agt.2011.11.2861
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740011, KAKENHI-PROJECT-23540085
[Journal Article] On the lower central quotients of the free groups of finite rank of a certain variety2011
- Author(s)
  Takao Satoh
- Journal Title
  
  Journal of Algebra
  
  Volume: 331 Pages: 449-465
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Journal Article] On the derivation algebra of the free Lie algebra and trace maps2011
- Author(s)
  Naoya Enomoto and Takao Satoh
- Journal Title
  
  Algebraic and Geometric Topology
  
  Volume: 11 Pages: 2861-2901
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Journal Article] The kernel of the Magnus representation of the automorphism group of a free group is not finitely generated2011
- Author(s)
  Takao Satoh
- Journal Title
  
  Mathematical Proceedings Cambridge Philosophical Society
  
  Volume: 151 Issue: 3 Pages: 407-419
- DOI
  10.1017/s0305004111000338
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540085
[Journal Article] The Johnson filtration of the McCool stabilizer subgroup of the automorphism group of a free group2011
- Author(s)
  Takao Satoh
- Journal Title
  
  Proc. of Amer. Math. Soc
  
  Volume: 139 Pages: 1237-1245
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Journal Article] The Johnson filtration of the McCool stabilizer subgroup of the automorphism group of a free group2011
- Author(s)
  Takao Satoh
- Journal Title
  
  Proc.of Amer.Math.Soc.
  
  Volume: 139 Pages: 1237-1245
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Journal Article] A reduction of the target of the Johnson homomorphisms of the automorphism group of a free group2011
- Author(s)
  Takao Satoh
- Journal Title
  
  Transactions of American Mathematical Society
  
  Volume: 363 Pages: 1631-1664
- NAID
  120002970847
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Journal Article] The kernel of the Magnus representation of the automorphism group of a free group is not finitely generated2011
- Author(s)
  Takao Satoh
- Journal Title
  
  Mathematical Proceedings Cambridge Philosophical Society
  
  Volume: 151 Pages: 407-419
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Journal Article] On the fourth Johnson homomorphism of the automorphism group of a free group2010
- Author(s)
  Takao Satoh
- Journal Title
  
  Journal of Algebra
  
  Volume: 323 Pages: 3182-3201
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Journal Article] On the image of the Burau representation of the IA-automorphism group of a free group2010
- Author(s)
  Takao Satoh
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 214 Pages: 584-595
- NAID
  120001823760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Journal Article] On the image of the Burau representation of the IA-automorphism group of a free group2010
- Author(s)
  Takao Satoh
- Journal Title
  
  Journal of Pure and Applied Algebra 214
  
  Pages: 584-594
- NAID
  120001823760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] On the Johnson homomorphisms of the McCool groups2023
- Author(s)
  佐藤　隆夫
- Organizer
  新潟代数セミナー
- Data Source
  KAKENHI-PROJECT-22K03299
[Presentation] On the Johnson homomorphisms of the basis-conjugating automorphism groups of free groups2023
- Author(s)
  佐藤　隆夫
- Organizer
  RIMS共同研究：変換群の幾何とトポロジー
- Data Source
  KAKENHI-PROJECT-22K03299
[Presentation] On the Aut F_n-actions on the fibers of free group covers of the products of cyclic groups2022
- Author(s)
  佐藤　隆夫
- Organizer
  代数的位相幾何学の軌跡と展望
- Invited
- Data Source
  KAKENHI-PROJECT-19K03477
[Presentation] On twisted unstable cohomologies of automorphism groups of free groups2021
- Author(s)
  Takao Satoh
- Organizer
  kpa70+
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03477
[Presentation] On twisted unstable cohomologies of automorphism groups of free groups2021
- Author(s)
  佐藤　隆夫
- Organizer
  RIMS研究集会「変換群論の新展開」
- Invited
- Data Source
  KAKENHI-PROJECT-19K03477
[Presentation] On the Andreadakis conjecture of the automorphism groups of free groups2019
- Author(s)
  佐藤　隆夫
- Organizer
  Johnson homomorphisms and related topics 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03477
[Presentation] On the basis-conjugating automorphism groups of free groups2019
- Author(s)
  佐藤　隆夫
- Organizer
  RIMS研究集会「変換群論とその応用」
- Data Source
  KAKENHI-PROJECT-19K03477
[Presentation] On the Andreadakis conjecture of the automorphism groups of free groups2019
- Author(s)
  Takao Satoh
- Organizer
  京都大学大学院理学研究科数学教室代数トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the Andreadakis conjecture of the automorphism groups of free groups2019
- Author(s)
  Takao Satoh
- Organizer
  Johnson homomorphisms and related topics 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On twisted cohomology groups of the automorphism groups of free groups2019
- Author(s)
  佐藤　隆夫
- Organizer
  ホモトピー那覇2019
- Invited
- Data Source
  KAKENHI-PROJECT-19K03477
[Presentation] On some representations of the automorphism groups of free groups2018
- Author(s)
  Takao Satoh
- Organizer
  Workshop on Geometric Discrete Mathematics II
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the Andreadakis conjecture of the automorphism groups of free groups2018
- Author(s)
  Takao Satoh
- Organizer
  Representation spaces, Teichmüller theory, and their relationship with 3-manifolds from the classical and quantum viewpoints, Universite d'Aix-Marseille
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On twisted cohomology groups of the automorphism groups of free groups2018
- Author(s)
  Takao Satoh
- Organizer
  Joint meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics, the Polish Mathematical Society
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the Andreadakis conjecture of the automorphism groups of free groups2018
- Author(s)
  Takao Satoh
- Organizer
  京都大学数理解析研究所研究集会・変換群論における幾何・代数・組み合わせ論
- Invited
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the Andreadakis conjecture of the automorphism groups of free groups2018
- Author(s)
  Takao Satoh
- Organizer
  Topology of Arrangements and Representation stability, Mathematisches Forschungsinstitut Oberwolfach
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the Andreadakis conjecture of the automorphism groups of free groups2018
- Author(s)
  Takao Satoh
- Organizer
  Colloquium, The University of Gottingen
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the cohomology groups of the IA-automorphism groups of free groups of rank three2017
- Author(s)
  佐藤　隆夫
- Organizer
  有限群のコホモロジーとその周辺
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2017-02-16
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the Andreadakis conjecture of the automorphism groups of free groups2017
- Author(s)
  Takao Satoh
- Organizer
  Algebraic Topology seminar, The University of Strasbourg
- Invited
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the Andreadakis conjecture of the automorphism groups of free groups2017
- Author(s)
  Takao Satoh
- Organizer
  Colloquium talk at the Faculty of Mathematics and Computer Sciences, Adam Mickiewicz University
- Invited
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the SL(m,C)-representation rings of free groups and the Johnson homomorphisms2016
- Author(s)
  Takao Satoh
- Organizer
  Low dimensional topology and number theory VIII
- Place of Presentation
  九州大学
- Year and Date
  2016-03-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the cohomology groups of the IA-automorphism groups of free groups of rank three2016
- Author(s)
  佐藤　隆夫
- Organizer
  変換群論シンポジウム2016
- Place of Presentation
  姫路市市民会館（兵庫県姫路市）
- Year and Date
  2016-11-17
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the cohomology groups of the IA-automorphism groups of free groups of rank three2016
- Author(s)
  佐藤　隆夫
- Organizer
  表現論による諸問題への新しいアプローチを目指して（第3回）
- Place of Presentation
  電気通信大学
- Year and Date
  2016-11-11
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] On the cohomology groups of the IA-automorphism groups of free groups of rank three2016
- Author(s)
  佐藤　隆夫
- Organizer
  群作用と位相
- Place of Presentation
  城崎健康福祉センター（兵庫県豊岡市城崎町）
- Year and Date
  2016-12-06
- Data Source
  KAKENHI-PROJECT-16K05155
[Presentation] The Johnson-Morita theory for the rings of Fricke characters2015
- Author(s)
  Takao Satoh
- Organizer
  Glances@Manifolds
- Place of Presentation
  Uniwersytet Jagiellonski, Poland
- Year and Date
  2015-07-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the Andreadakis conjecture of the automorphism groups of free groups2015
- Author(s)
  Takao Satoh
- Organizer
  RIMS研究集会「新しい変換群論の幾何」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-05-28
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the Johnson homomorphism of the basis-conjugating automorphism groups of free groups2015
- Author(s)
  Takao Satoh
- Organizer
  表現論による諸問題への新しいアプローチを目指して（第2回）
- Place of Presentation
  電気通信大学
- Year and Date
  2015-11-20
- Invited
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the Johnson homomorphism of the automorphism groups of free groups2015
- Author(s)
  Takao Satoh
- Organizer
  Workshop on Automorphism groups of free groups
- Place of Presentation
  University of Copenhagen, Denmark
- Year and Date
  2015-11-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the rings of SL(2,C)-characters of free groups and free abelian groups2014
- Author(s)
  佐藤隆夫
- Organizer
  Towards new applications of representation theory
- Place of Presentation
  電気通信大学
- Year and Date
  2014-11-15
- Invited
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the Johnson homomorphisms of automorphism groups of free groups2014
- Author(s)
  Takao Satoh
- Organizer
  Workshop on Algebraic Topology and Its Applications
- Place of Presentation
  大連理工大学
- Year and Date
  2014-08-06
- Invited
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] Some problems on the Johnson homomorphisms and related topics2014
- Author(s)
  Takao Satoh
- Organizer
  Workshop on Algebraic Topology and Its Applications
- Place of Presentation
  大連理工大学
- Year and Date
  2014-08-07
- Invited
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] 自由群の自己同型群のAndreadakis-Johnson filtrationについて2014
- Author(s)
  佐藤隆夫
- 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
- Year and Date
  2014-09-17
- Invited
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] 自由群のFricke指標環とJohnson準同型について2014
- Author(s)
  佐藤隆夫
- 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
- Year and Date
  2014-09-18
- Invited
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the Johnson cokernels of the mapping class group of a surface2012
- Author(s)
  佐藤隆夫
- Organizer
  International Conference "Group Actions and Applications in Geometry, Topology and Analysis"
- Place of Presentation
  Kunming, China
- Year and Date
  2012-07-26
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] n the augmentation quotients of the IA-automorphism group of a free grou2012
- Author(s)
  佐藤隆夫
- Organizer
  トポロジーセミナー
- Place of Presentation
  東京工業大学
- Year and Date
  2012-12-05
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] 自由群の自己同型群のねじれ係数コホモロジーについてII2011
- Author(s)
  佐藤隆夫
- Organizer
  談話会
- Place of Presentation
  信州大学理学部数理・自然情報科学教室(招待講演)
- Year and Date
  2011-01-12
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] 自由群の自己同型群のねじれ係数コホモロジーについてI2011
- Author(s)
  佐藤隆夫
- Organizer
  トポロジーセミナー
- Place of Presentation
  信州大学理学部数理・自然情報科学教室(招待講演)
- Year and Date
  2011-01-11
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] 自由群の自己同型群のねじれ係数コホモロジーについて2011
- Author(s)
  佐藤隆夫
- Organizer
  北田先生を囲む研究集会
- Place of Presentation
  京都市大学のまち交流センター(招待講演)
- Year and Date
  2011-02-12
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] On the cokernel of the Johnson homomorphism of the mapping class group of a surface2011
- Author(s)
  Takao Satoh
- Organizer
  Branched Coverings, Degenerations, and Related Topics
- Place of Presentation
  首都大学東京(招待講演)
- Year and Date
  2011-03-08
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] On the Johnson filtration of the automorphism group of a free group2010
- Author(s)
  佐藤隆夫
- Organizer
  研究集会「変換群と手術理論」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-09-01
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] On the Johnson homomorphisms of the automorphism group of a free group2010
- Author(s)
  Takao Satoh
- Organizer
  Teichmuller Theory
- Place of Presentation
  Oberwolfach, German(招待講演)
- Year and Date
  2010-12-04
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] On the kernel of the Magnus representation of the automorphism group of a free group2010
- Author(s)
  佐藤隆夫
- Organizer
  研究集会「リーマン面に関連する位相幾何学」
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2010-09-06
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] 自由群の自己同型群のJohnson filtrationについて2010
- Author(s)
  佐藤隆夫
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-22
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] 自由群の自己同型群のねじれ係数コホモロジー群について2009
- Author(s)
  佐藤隆夫
- Organizer
  日本数学会秋の年会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-26
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] On the Johnson homomorphisms of the automorphism group of a free group2009
- Author(s)
  Takao Satoh
- Organizer
  Geometry and Analysis
- Place of Presentation
  パリ第7大学(フランス)
- Year and Date
  2009-12-21
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] On the kernel of the Magnus representation of the automorphism group of a free group2009
- Author(s)
  佐藤隆夫
- Organizer
  第36回変換群論シンポジウム
- Place of Presentation
  大阪市立大学
- Year and Date
  2009-12-10
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] 自由群の自己同型群のJohnson準同型について2009
- Author(s)
  佐藤隆夫
- Organizer
  群と力学系に関わる離散幾何学
- Place of Presentation
  愛媛大学理学部数学科
- Year and Date
  2009-09-02
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] On the Johnson filtration of the automorphism group of a free group2009
- Author(s)
  佐藤隆夫
- Organizer
  微分・代数トポロジーの現在と未来
- Place of Presentation
  かんぽの宿徳島
- Year and Date
  2009-11-11
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] 自由群の自己同型群のJohnson準同型について2009
- Author(s)
  佐藤隆夫
- Organizer
  京都大学大学院理学研究科数学教室談話会
- Place of Presentation
  京都大学大学院理学研究科
- Year and Date
  2009-05-27
- Data Source
  KAKENHI-PROJECT-21740050
[Presentation] A representation theoretic approach to the Johnson cokernels I
- Author(s)
  佐藤　隆夫
- Organizer
  Workshop: Johnson homomorphisms
- Place of Presentation
  東京大学大学院数理科学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] 自由群の自己同型群とFricke指標環について
- Author(s)
  佐藤隆夫
- Organizer
  数理科学セミナー
- Place of Presentation
  東京都市大学
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the Johnson cokernels of the mapping class group of a surface
- Author(s)
  Satoh, Takao
- Organizer
  Group actions and applications in geometry, topology and analysis
- Place of Presentation
  Kunming University of Science and Technology, China
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the rings of SL(2,C)-characters of free groups
- Author(s)
  佐藤　隆夫
- Organizer
  Geometry of Manifolds and Group Actions
- Place of Presentation
  Adam Mickiewicz University, Slubice, Poland
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] The Johnson-Morita theory for the rings of Fricke characters of free groups
- Author(s)
  佐藤　隆夫
- Organizer
  New Trends in Teichmuller Theory and Mapping Class Groups
- Place of Presentation
  オーベルヴォルファッハ数学研究所，ドイツ
- Invited
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the rings of SL(2,C)-characters of free groups
- Author(s)
  佐藤　隆夫
- Organizer
  East Asian Conference on Algebraic Topology 5
- Place of Presentation
  中国科学院数学与系統科学研究院
- Invited
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the rings of SL(2,C)-characters of free abelian groups
- Author(s)
  佐藤　隆夫
- Organizer
  第40回変換群論シンポジウム
- Place of Presentation
  明治大学中野キャンパス
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the automorphism groups of free groups and the ring of Fricke characters
- Author(s)
  佐藤隆夫
- Organizer
  Mini workshop in Singularities
- Place of Presentation
  東京理科大学理学部数学科
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] 自由群の自己同型群とFricke指標環について
- Author(s)
  佐藤　隆夫
- Organizer
  RIMS研究集会「変換群の幾何の展開」
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] 自由群の自己同型群のJohnson準同型写像について
- Author(s)
  佐藤　隆夫
- Organizer
  代数・幾何セミナー
- Place of Presentation
  慶應義塾大学理工学部数理科学科
- Invited
- Data Source
  KAKENHI-PROJECT-24740051
[Presentation] On the augmentation quotients of the IA-automorphism group of a free group
- Author(s)
  佐藤隆夫
- Organizer
  談話会
- Place of Presentation
  京都大学大学院理学研究科数学教室
- Data Source
  KAKENHI-PROJECT-24740051

1. KAWAZUMI Nariya (30214646)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. FUJII MICHIHIKO (60254231)

# of Collaborated Projects: 4 results

# of Collaborated Products: 4 results
3. UE Masaaki (80134443)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. SAITO Kyoji (20012445)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. TADOKORO Yuuki (10435414)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. SATO Masatoshi (10632010)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. KUNO Yusuke (80632760)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. 逆井卓也 (60451902)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. Akita Toshiyuki (30279252)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 吉永正彦 (90467647)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. KURIBAYASHI Katsuhiko

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. NAITO Takahito

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. Penner Robert

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. Alekseev Anton

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. Naef Florian

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. ENOMOTO Naoya

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Satoh Takao 佐藤 隆夫

SATOH Takao 佐藤 隆夫

Research Projects

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自由リー代数の特殊微分代数と組みひも群のJohnson準同型に関する研究Principal Investigator

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コクセター・カンドルの随伴群とブレイド群の幾何と増大級数

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Studies on unstable cohomologies of the automorphism groups of free groups and its associated Lie algebrasPrincipal Investigator

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Study on cohomologies of automorphism groups of free groups focued on the unstable rangePrincipal Investigator

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Geometry of the braid groups and mapping class groups and their growth

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Studies of higher twisted cohomology groups of automorphism groups of free groupsPrincipal Investigator

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Topological studies on Riemann surfaces through Lie bialgebras

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Cohomology of mapping class groups, Coxeter groups and Artin groups

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Topology of discrete groups and growth series

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The focused study of automorphism groups of free groups and the mapping class groups for the Johnson homomorphismsPrincipal Investigator

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Topological study of Riemann surfaces through infinite-dimensional Lie algebras

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Deformation spaces of discrete groups and growth functions

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A research of the automorphism group of a free groupPrincipal Investigator

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Satoh Takao 佐藤隆夫

SATOH Takao 佐藤隆夫