Fujii Michihiko 藤井道彦

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FUJII Michihiko 藤井道彦

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Researcher Number	60254231
Other IDs
Affiliation (Current)	2024: 琉球大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2016 – 2024: 琉球大学, 理学部, 教授 2015: 京都大学, 理学研究科, 准教授 2011 – 2015: 京都大学, 理学(系)研究科(研究院), 准教授 2010: 京都大学, 理学研究科, 准教授 2010: 京都大学, 理学系研究科, 准教授 … More 2007 – 2010: Kyoto University, Graduate School of Science, Associate Professor 2007 – 2008: Kyoto University, Graduate School of Science, Associate Professor 2006: 京都大学, 大学院理学研究科, 助教授 2006: Kyoto University, Faculty of Science, Associate Professor, 大学院理工研究科, 助教授 2006: Kyoto University, Faculty of Science, Associate Professor, 理学研究科, 助教授 2003 – 2006: Kyoto University, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授 1998 – 2003: 京都大学, 総合人間学部, 助教授 1995 – 1998: 横浜市立大学, 理学部, 助手 1994: 横浜市立大学, 文理学部, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Basic analysis / Geometry / Algebra / Basic analysis / Algebra
Keywords	Principal Investigator 増大級数 / オートマトン / 離散群 / ブレイド群 / 多様体 / アルティン群 / 確定特異点 / 錐多様体 / 双曲多様体 / デーン手術 … More / タイヒミュラー空間 / リーマン面のモジュライ空間 / 随伴群 / deformation / hyperbolic structure / 変形 / 双曲構造 / 測地的代表元 / 二面体群 / 増大関数 / 双曲幾何 / トポロジー / 幾何学 / 全測地的境界 / 双曲的多様体 / 幾何学的群論 / コクセター・カンドル / 増大度 / 写像類群 / 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 / automaton / discrete group / differential equation / cone-structure / manifold / 合流操作 / 不確定特異点 / Fuchs型微分方程式 / 微分方程式 / rational point / elliptic curve / regular singular point / hypergeometric equation / cone manifold / manifolds / 葉層構造 / モジュラー曲線 / 結び目 / 幾何構造 / 3次元多様体 / 有理点 / 楕円曲線 / 超幾何方程式 / 融合積 / ザイフェルト束 / ケーリー・グラフ / トーラス結び目群 / 有理関数表示 / 有限生成群 / ２面体型 / 変形空間 / 双曲群 / ピソ数 / 二面体型 / 組みひも群 / 多様性 / 合流 / 超幾何函数 / 常微分方程式 / 調和ベクトル場 / 幾何構造の変形 / 構造変形 / カスプ / 双曲錐多様体 … More Except Principal Investigator Seiberg-Witten理論 / 4次元多様体 / 3次元多様体 / ザイフェルト多様体 / Seiberg-Witten theory / ホモロジー3球面 / 双曲構造 / Dirac operator / 4-manifold / V多様体 / ディラック作用素 / Heegaard Floerホモロジー / Floerホモロジー / 結び目 / homology 3-sphere / ゲージ理論 / Grassmann manifold / 共形場理論 / ソリトン方程式 / Dehn surgery / デーン手術 / dual pair / cone manifold / V-manifold / intersection form / spin structure / 3-manifold / 交叉形式 / 錐多様体 / スピン構造 / ３次元多様体 / ４次元多様体 / ホモロジーコボルディズム / 低次元トポロジー / 素数 / トポロジー / 基本群 / ザイフェルト３次元多様体 / Heegaard Floer homology / キャッソンハンドル / Primes / Knots / V manifold / Seifert manifold / four-dimensinal manifold / Fukumoto-Furuta不変量 / ホモロジー球面 / 幾何構造 / ディラック手術 / hyperbolic structure / conformal mapping / free fermion / gauge theory / solvable many body system / dispersionless integrable system / integrable hierarchy / インスタントン / 楕円類似 / q類似 / 広田方程式 / 共形写像 / Loewner方程式 / Calogero系 / 同変コホモロジー / ハミルトン構造 / 等モノドロミー変形 / ランダム行列 / 無分散極限 / 量子可積分系 / グラスマン多様体 / 等角写像 / 自由フェルミオン / 可解多体系 / 無分散可積分系 / 可積分階層 / Tyurin parameter / vector bundle / higher genus / algebraic curve / soliton equation / integrable system / 可換微分作用素対 / モジュライ空間 / 種類 / Grassmann多様体 / Tyurinパラメータ / ベクトル束 / 高種数 / 代数曲線 / 可積分系 / 3-manifolds / 葉層構造 / 双曲多様体 / theta lifting / invariant theory / isotropy representation / semisimple Lie groups / unitary representation / associated cycle / nilpotent orbit / 調和振動子表現 / 随伴多様体 / 巾零軌道 / Weil表現 / データ対応 / 最高ウェイト表現 / 調和解析 / 寡零軌道 / 随伴軌道 / 両側軌道分解 / アキエゼル・ギンディキン領域 / テータ対応 / 表現論 / テータ持ち上げ / デュアル・ペア / 不変式論 / 等方表現 / 半単純リー群 / ユニタリ表現 / 随伴サイクル / 冪零軌道 / projective structure / low dimensional manifold / hyperbolic geometry / Kleinian group / Riemann surface / 射影構造 / 低次元多様体 / 双曲幾何 / クライン群 / リーマン面 / 交叉形成 / symbolic computation / Groebner base / algorithm / linear partial differential equation / D-module / 数式処理 / グレブナ基底 / アルゴリズム / 線型偏微分方程式 / D-加群 / エータ不変量 / 有理ホモロジー3球面 / Seiber-Witten理論 / 幾何学 / 鉛管多様体 / 球面多様体 / フレアホモロジー / 不変量 / 微分トポロジー / 結び目と素数 / ねじれAlexander不変量 / ねじれAlexander多項式 / Twisted Alexander多項式 / 全射 / 半順序関係 / 全射準同型写像 / degree 1 map / twisted Alexander多項式 / 線型表現 / 結び目群 / 曲率 / リーマン多様体 Less

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
- 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
Geometry of the braid groups and mapping class groups and their growthPrincipal Investigator
- Principal Investigator
  
  藤井道彦
- 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
Various invariants of 3 and 4-manifolds and their applicationsUe
- Principal Investigator
  
  Ue Masaaki
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Topology of discrete groups and growth seriesPrincipal Investigator
- 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
Relations between invariants of low-dimensional manifolds and their geometric structures
- Principal Investigator
  
  Ue Masaaki
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Deformation spaces of discrete groups and growth functionsPrincipal Investigator
- 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
Topology of low dimensional manifolds with various geometric structures
- Principal Investigator
  
  UE Masaaki
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Deformation spaces of discrete groups and hyperbolic structuresPrincipal Investigator
- Principal Investigator
  
  FUJII Michihiko
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Developing Arithmetic Topology
- Principal Investigator
  
  MORISHITA Masanori
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Research on the deformation space of hyperbolic structures on manifoldsPrincipal Investigator
- Principal Investigator
  
  FUJI Michihiko
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
The study of Low-dimensicnal manifolds with various geometric structures
- Principal Investigator
  
  UE Masaaki
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Study on topological invariants derived from linear representations over a finite field of fundamental groups and geometric structures of 3-manifolds
- Principal Investigator
  
  KITANO TERUAKI
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Soka University
  Tokyo Institute of Technology
Stady of Arithmcfc Topology
- Principal Investigator
  
  MORISHITA Masanori
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERCITY
Geometric structure and integrable systems in mathematical physics
- Principal Investigator
  
  TAKASAKI Kanehisa
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
The study of low-dimensional manifolds with various geometric structures
- Principal Investigator
  
  UE Masaaki
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Hyperbolic structures on manifolds and their deformationsPrincipal Investigator
- Principal Investigator
  
  FUJII Michihiko
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Research for low-dimensional manifolds with various geometric structures
- Principal Investigator
  
  UE Masaaki
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KYOTO UNIVERSITY
Integrable systems with higher genus spectral parameter
- Principal Investigator
  
  TAKASAKI Kanehisa
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
3次元多様体上の幾何構造とその変形Principal Investigator
- Principal Investigator
  
  藤井道彦
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Research on discrete groups and profective strucutures on Riemann surfaces
- Principal Investigator
  
  NAKANISHI Toshihiro
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
Geometry and Harmonic Analysis on Nilpotent Orbits
- Principal Investigator
  
  NISHIYAMA Kyo
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
Research for low-climensional manifolds with various geometric structures
- Principal Investigator
  
  UE Masaaki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
3次元多様体上の双曲構造の変形とリーマン面のモジュライ空間Principal Investigator
- Principal Investigator
  
  藤井道彦
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Study on Algorithms for D-Modules
- Principal Investigator
  
  OAKU Toshonori
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yokohama City University
リーマン多様体の幾何構造の研究
- Principal Investigator
  
  市田良輔
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yokohama City University
双曲的多様体の構造変形についてPrincipal Investigator
- Principal Investigator
  
  藤井道彦
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Yokohama City University
双曲的3次元多様体の構造変形についてPrincipal Investigator
- Principal Investigator
  
  藤井道彦
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Yokohama City University

[Journal Article] A new formula for the spherical growth series of an amalgamated free product of two infinite cyclic groups2018
- Author(s)
  Michihiko Fujii
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 41 Pages: 475-511
- NAID
  130007506557
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03283
[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] Computation of the spherical growth series of finitely generated groups and monoids by using automata2015
- Author(s)
  Michihiko Fujii
- Journal Title
  
  Handbook of group actions, Vol. II, Adv. Lect. Math.
  
  Volume: 32 Pages: 479-521
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540076
[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] The growth rates for pure Artin groups of dihedral type2014
- Author(s)
  M. Fujii
- Journal Title
  
  European Journal of Combinatorics
  
  Volume: 40 Pages: 108-115
- DOI
  10.1016/j.ejc.2014.02.002
- NAID
  120005466633
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540085
[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] 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] The spherical growth series for pure Artin groups of dihedral type2013
- Author(s)
  Michihiko Fujii
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences
  
  Volume: 49 Issue: 3 Pages: 497-530
- DOI
  10.4171/prims/111
- NAID
  110009623783
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540085
[Journal Article] L^2-torsion invariants and the Magnus representation of the mapping class group, Groups of Diffeomorphisms2008
- Author(s)
  Teruaki KITANO and Takayuki MORIFUJI
- Journal Title
  
  Advanced Studies in Pure Mathematics Volume(Math. Soc. of Japan) 52
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] An expression of harmonic vertor fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions2007
- Author(s)
  Michihiko, Fujii
- Journal Title
  
  Publ. RIMS 43(refereed)
  
  Pages: 727-761
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540081
[Journal Article] Confluence of singular points of ordinary differential equations of Fuchsian type induced by deformation of 2-dimensional hyperbolic cone-manif old structures2007
- Author(s)
  Michihiko Fujii
- Journal Title
  
  Kyushu J. Math. 61
  
  Pages: 21-34
- Data Source
  KAKENHI-PROJECT-18540081
[Journal Article] An expresson of harmonic vertor fields on hyperbolic 3-cone-manifolds In terms of hypergeometric functions2007
- Author(s)
  藤井道彦
- Journal Title
  
  Publ. RIMS 43
  
  Pages: 727-761
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540081
[Journal Article] An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions2007
- Author(s)
  Michihiko Fujii and Hiroyuki Ochiai
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 43
  
  Pages: 727-761
- NAID
  110006385901
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] Confluence of singular points of ordinary differential equations of Fuchsian type induced by deformation of two-dimensional hyperbolic cone-manifold structures2007
- Author(s)
  M.Fujii
- Journal Title
  
  Kyushu Journal of Mathematics 61
  
  Pages: 21-34
- NAID
  130000063182
- Data Source
  KAKENHI-PROJECT-18540080
[Journal Article] Confluence of singular points of ordinary differential equations of Fuchsian type induced by deformation of two-dimensional hyperbolic cone-manifold structures2007
- Author(s)
  M. Fujii
- Journal Title
  
  Kyushu J. Math. 61
  
  Pages: 21-34
- NAID
  130000063182
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540080
[Journal Article] Confluence of singular points of ordinary differential equations of Fuchsian type induced by deformation of two-dimensional hyperbolic cone-manifold structures2007
- Author(s)
  M., Fujii
- Journal Title
  
  Kyushu J. Math 61
  
  Pages: 21-34
- NAID
  130000063182
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540080
[Journal Article] An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions2007
- Author(s)
  M. Fujii and H. Ochiai
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 43
  
  Pages: 727-761
- NAID
  110006385901
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540080
[Journal Article] An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions2007
- Author(s)
  M., Fujii, H., Ochiai
- Journal Title
  
  Publ. Res. Inst. Math. Sci 43
  
  Pages: 727-761
- NAID
  110006385901
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540080
[Journal Article] An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions2007
- Author(s)
  M. Fujii and H. Ochiai
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences 43
  
  Pages: 727-761
- NAID
  110006385901
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540080
[Journal Article] Confluence of singular points of ordinary differential equations of Fuchsian type induced by deformation of two-dimensional hyperbolic cone-manifold structures.2007
- Author(s)
  Michihiko Fujii
- Journal Title
  
  kyushu J. Math. 61
  
  Pages: 21-34
- NAID
  130000063182
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] A Torres condition for twisted Alexander polynomials2007
- Author(s)
  Takayuki Morifuji
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 43
  
  Pages: 143-153
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] A note on von Neumann rho-invariant of surface bundles over the circle2006
- Author(s)
  Takayuki Morifuji
- Journal Title
  
  Tohoku Math. J.(2) 58・no.1
  
  Pages: 123-127
- NAID
  110004308603
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] A note on von-Neumann rho-invariant of surface bundles over the circle2006
- Author(s)
  Takayuki Morifuji
- Journal Title
  
  Tohoku Math.J. 58(未定)
- NAID
  110004308603
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] Knot Floer homology of (1,1)-knots2005
- Author(s)
  Hiroshi Goda, Hirohi Matsuda, Takayuki Morifuji
- Journal Title
  
  Geom.Dedicata 112
  
  Pages: 197-214
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005
- Author(s)
  Michihiko Fujii
- Journal Title
  
  Journal of Mathematics of Kyoto University 45
  
  Pages: 343-354
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and oints of finite order on the ellintic curve2005
- Author(s)
  Michihiko Fujii
- Journal Title
  
  J.Math.Kyoto Univ. 45-2
  
  Pages: 343-354
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540063
[Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005
- Author(s)
  Michihiko Fujii
- Journal Title
  
  J.Math.Kyoto Univ. 45・2
  
  Pages: 343-354
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540069
[Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005
- Author(s)
  Michihiko Fujii
- Journal Title
  
  J.Math.Kyoto Univ. 45・No.2
  
  Pages: 343-354
- Data Source
  KAKENHI-PROJECT-16540063
[Journal Article] Degenaration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005
- Author(s)
  Michihiko Fujii
- Journal Title
  
  J.Math.Kyoto Univ. Vol.45
  
  Pages: 343-354
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540069
[Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005
- Author(s)
  Michihiko Fujii
- Journal Title
  
  J. Math. Kyoto Univ. 45・2
  
  Pages: 343-354
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540063
[Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005
- Author(s)
  M.Fujii
- Journal Title
  
  Journal of Mathematcs of Kyoto University 45
  
  Pages: 343-354
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005
- Author(s)
  M.Fujii
- Journal Title
  
  Journal of Mathematics of Kyoto University 45
  
  Pages: 343-354
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Deformations of hyperbolic structures on the figure eight knot complement and an elliptic curve associated to them2004
- Author(s)
  藤井道彦
- Journal Title
  
  R.I.M.S.Kokyuroku 1387
  
  Pages: 16-30
- Data Source
  KAKENHI-PROJECT-16540063
[Journal Article] Deformations of hyperbolic structures on the figure eight knot complement and an elliptic curve associated to them2004
- Author(s)
  Michihiko Fujii
- Journal Title
  
  R.I.M.S.Kokyuroku 1387
  
  Pages: 16-30
- Data Source
  KAKENHI-PROJECT-15540069
[Journal Article] An algorithm for solving linear ordinary differential equations of Fuchsian type with three singular points2003
- Author(s)
  M.Fujii, H.Ochiai
- Journal Title
  
  Interdisciplinary Information Sciences 9
  
  Pages: 189-200
- NAID
  110000071790
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540069
[Journal Article] Deformations of hyperbolic cone-manifolds and the confluence of singular points of ordinary differential equations of Fuchsian type2003
- Author(s)
  Michihiko Fujii
- Journal Title
  
  RIMS Kokyuroku Vol.1329
  
  Pages: 102-108
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540069
[Journal Article] Deformations of hyperbolic cone-manifolds and the confluence of singular points of ordinary differential equations2003
- Author(s)
  Michihiko Fujii
- Journal Title
  
  RIMS Kokyuroku 1329
  
  Pages: 102-108
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540069
[Journal Article] An algorithm for solving linear ordinary differential equations of Fuchsian type with three singular points2003
- Author(s)
  M.Fujii, H.Ochiai
- Journal Title
  
  Interdisciplinary Information Sciences Vol.9
  
  Pages: 189-200
- NAID
  110000071790
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540069
[Journal Article] A Torres condition for twisted Alexander polynomials,
- Author(s)
  Takayuki Morifuji
- Journal Title
  
  Publ.Res.Inst.Math.Sci. (未定)(掲載決定)
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] Growth of Garside Groups2024
- Author(s)
  藤井道彦
- Organizer
  拡大版「リーマン面・不連続群論」
- Invited
- Data Source
  KAKENHI-PROJECT-18K03283
[Presentation] The spherical growth series of amalgamated free products of infinite cyclic groups2023
- Author(s)
  藤井道彦、逆井卓也
- Organizer
  日本数学会・秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K03283
[Presentation] The geodesic growth of a Seifert fiber space2021
- Author(s)
  Michihiko Fujii
- Organizer
  RIMS Workshop, Geometry of discrete groups and hyperbolic spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03283
[Presentation] How a geodesic representative of an element of the braid group is obtained2018
- Author(s)
  藤井　道彦
- Organizer
  Geomety of Riemann surfaces and related topics
- Invited
- Data Source
  KAKENHI-PROJECT-18K03283
[Presentation] The geodesic growth series for Seifert fiber spaces over disks with two cone points2017
- Author(s)
  Michihiko Fujii
- Organizer
  Journes de Geometrie Hyperbolique
- Place of Presentation
  University of Fribourg, Fribourg, Switzerland
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400086
[Presentation] On the growth of torus knot groups2016
- Author(s)
  Michihiko Fujii
- Organizer
  Oberseminar
- Place of Presentation
  University of Fribourg, Switzerland
- Year and Date
  2016-03-22
- Invited
- Data Source
  KAKENHI-PROJECT-26400086
[Presentation] On the growth of torus knot groups2016
- Author(s)
  藤井道彦
- Organizer
  複素解析セミナー
- Place of Presentation
  大阪市立大学、大阪府大阪市住吉区杉本
- Invited
- Data Source
  KAKENHI-PROJECT-26400086
[Presentation] On the growth of torus knot groups2015
- Author(s)
  Michihiko Fujii
- Organizer
  Geometry and Analysis of Discrete Groups and Hyperbolic Spaces
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-06-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400086
[Presentation] The growth series for pure Artin groups of dihedral type2015
- Author(s)
  Michihiko Fujii
- Organizer
  日本数学会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21
- Data Source
  KAKENHI-PROJECT-26400086
[Presentation] On geodesic representatives of braid groups2014
- Author(s)
  藤井道彦
- Organizer
  Ober seminar
- Place of Presentation
  University of Fribourg, Switzerland
- Year and Date
  2014-03-19
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth rates for pure Artin groups of dihedral type2014
- Author(s)
  Michihiko Fujii
- Organizer
  Growth 2
- Place of Presentation
  大阪市立大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] A sufficient condition for representatives of elements of braid groups to be geodesic2014
- Author(s)
  藤井道彦
- Organizer
  Workshop "Growth 2"
- Place of Presentation
  大阪市立大学大学院理学研究科
- Year and Date
  2014-02-04
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth rates for pure Artin groups of dihedral type2014
- Author(s)
  藤井道彦
- Organizer
  研究集会「離散群と双曲空間のトポロジーと複素解析」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-01-23
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] On geodesic representatives of elements of braid groups2014
- Author(s)
  Michihiko Fujii
- Organizer
  Geometry Open Seminar
- Place of Presentation
  University of Fribourg, Swiｔzerland
- Invited
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] On geodesic representatives of elements of braid groups2014
- Author(s)
  Michihiko Fujii
- Organizer
  北海道大学幾何学コロキウム
- Place of Presentation
  北海道大学大学院理学研究科
- Year and Date
  2014-06-27
- Invited
- Data Source
  KAKENHI-PROJECT-26400086
[Presentation] On geodesic representatives of elements of braid groups2014
- Author(s)
  Michihiko Fujii
- Organizer
  Complex Analysis and Topology of Discrete Groups and Hyperbolic Spaces
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] On geodesic representatives of elements of braid groups2013
- Author(s)
  藤井道彦
- Organizer
  研究集会「低次元多様体の基本群とその表現に関連する様々な構造について」
- Place of Presentation
  国際奈良学セミナーハウス
- Year and Date
  2013-10-31
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth rates for pure Artin groups of dihedral type2013
- Author(s)
  藤井道彦
- Organizer
  鹿児島大学理学部談話会
- Place of Presentation
  鹿児島大学理学部
- Year and Date
  2013-10-23
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth series for pure Artin groups of dihedral type2013
- Author(s)
  Michihiko Fujii
- Organizer
  鹿児島大学理学部談話会
- Place of Presentation
  鹿児島大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] On geodesic representatives of elements of braid groups2013
- Author(s)
  Michihiko Fujii
- Organizer
  低次元多様体の基本群とその表現に関する様々な構造について
- Place of Presentation
  奈良学センター
- Invited
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] On the growth functions of Artin groups of finite type2012
- Author(s)
  藤井道彦
- Organizer
  Workshop "Growth"
- Place of Presentation
  大阪市立大学大学院理学研究科
- Year and Date
  2012-02-21
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth series of pure Artin groups of dihedral type2012
- Author(s)
  藤井道彦
- Organizer
  International Conference "Group Actions and Applications in Geometry, Topology and Analysis"
- Place of Presentation
  Kunming, China
- Year and Date
  2012-07-29
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth series of pure Artin groups of dihedral type2012
- Author(s)
  Michihiko Fujii
- Organizer
  Group actions and applications in geometry, topology and analysis
- Place of Presentation
  Kunming, China
- Invited
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] On the growth functions of Artin groups of finite type2012
- Author(s)
  Michihiko Fujii
- Organizer
  Growth
- Place of Presentation
  Osaka City University
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth series of pure Artin groups of dihedral type2012
- Author(s)
  藤井道彦
- Organizer
  トポロジー火曜セミナー
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2012-10-09
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth functions of pure Artin groups of dihedral type2012
- Author(s)
  Michihiko Fujii
- Organizer
  Branched Coverings, Degenerations, and Related Topics
- Place of Presentation
  Hiroshima University
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth functions of pure Artin groups of dihedral type2012
- Author(s)
  藤井道彦
- Organizer
  Workshop "Branched Covering, Degenarations, and Related Topics"
- Place of Presentation
  広島大学大学院理学研究科
- Year and Date
  2012-03-08
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth functions of pure Artin groups of dihedral type2011
- Author(s)
  藤井道彦
- Organizer
  研究集会「離散群と双曲空間の解析と幾何」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-12-15
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] ブレイド群の測地的元と増大関数2011
- Author(s)
  藤井道彦
- Organizer
  幾何セミナー
- Place of Presentation
  東北大学大学院理学研究科
- Year and Date
  2011-11-12
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] The growth functions of pure Artin groups od dihedral type2011
- Author(s)
  Micihiko Fujii
- Organizer
  Analysis and Geometry of Discrete Groups and Hyperbolic Spaces
- Place of Presentation
  Kyoto University
- Data Source
  KAKENHI-PROJECT-23540085
[Presentation] Growth functions of pure Artin groups2011
- Author(s)
  藤井道彦
- Organizer
  Ober Seminar
- Place of Presentation
  Fribourg. Switerland
- Year and Date
  2011-03-14
- Data Source
  KAKENHI-PROJECT-20540074
[Presentation] Growth functions of Artin groups,II2010
- Author(s)
  藤井道彦
- Organizer
  トポロジーの現在と未来
- Place of Presentation
  四季の湯強羅青雲荘(招待講演)
- Year and Date
  2010-12-22
- Data Source
  KAKENHI-PROJECT-20540074
[Presentation] Growth function of Artin groups II2010
- Author(s)
  藤井道彦
- Organizer
  トポロジーの現在と未来
- Place of Presentation
  四季の湯強羅青雲荘
- Year and Date
  2010-12-22
- Data Source
  KAKENHI-PROJECT-20540072
[Presentation] Growth functions of Artin groups II2010
- Author(s)
  藤井道彦
- Organizer
  トポロジーの現在と未来
- Place of Presentation
  四季の湯強羅青雲荘
- Year and Date
  2010-12-22
- Data Source
  KAKENHI-PROJECT-20540074
[Presentation] Growth functions of Artin groups2009
- Author(s)
  藤井道彦
- Organizer
  Seminar at Ecole Polytechnique Federal de Lausanne
- Place of Presentation
  Lausanne. Switerland
- Year and Date
  2009-11-26
- Data Source
  KAKENHI-PROJECT-20540074
[Presentation] Growth functions of discrete groups2009
- Author(s)
  藤井道彦
- 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-20540074
[Presentation] Growth functions of Artin groups2009
- Author(s)
  藤井道彦
- Organizer
  Ober Seminar
- Place of Presentation
  Fribourg. Switerland
- Year and Date
  2009-11-02
- Data Source
  KAKENHI-PROJECT-20540074
[Presentation] Growth functions of discrete groups2009
- Author(s)
  藤井道彦
- 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-20540072
[Presentation] Growth functions of Artin groups2009
- Author(s)
  藤井道彦
- Organizer
  Seminar at Ecole Polytechnique Federal de Lausanne
- Place of Presentation
  Lausanne.
- Year and Date
  2009-11-26
- Data Source
  KAKENHI-PROJECT-20540072
[Presentation] Growth functions of discrete groups2009
- Author(s)
  藤井道彦
- 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-20540074
[Presentation] Growth functions of Fuchsian groups2008
- Author(s)
  藤井道彦
- Organizer
  Riemann surfaces and discrete groups
- Place of Presentation
  岡山大学理学部
- Year and Date
  2008-01-14
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540080
[Presentation] Growth functions of Fuchsian groups2006
- Author(s)
  M., Fujii
- Organizer
  Conference, Riemann surfaces and discrete groups
- Place of Presentation
  Okayama University
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540080
[Presentation] On singular points of ordinary differential equations on hyperbolic cone-manifolds2006
- Author(s)
  M., Fujii
- Organizer
  Workshop, Actions of hyperbolic groups on specific manifolds and related topics
- Place of Presentation
  Tokyo Metropolitan University
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540080
[Presentation] On singular points of ordinary differential equations on hyperbolic cone-manifolds2006
- Author(s)
  藤井道彦
- Organizer
  Actions of hyperbolic groups on specific manifolds and related topics
- Place of Presentation
  首都大学東京大学院理工学研究科
- Year and Date
  2006-06-28
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540080

1. UE Masaaki (80134443)

# of Collaborated Projects: 13 results

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2. KATO Shinichi (90114438)

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Fujii Michihiko 藤井 道彦

FUJII Michihiko 藤井 道彦

Research Projects

Research Products

Co-Researchers

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

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Review Section

Research Institution

Geometry of the braid groups and mapping class groups and their growthPrincipal Investigator

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Review Section

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Principal Investigator

Project Period (FY)

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Research Institution

Topology of discrete groups and growth seriesPrincipal Investigator

Principal Investigator

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Deformation spaces of discrete groups and growth functionsPrincipal Investigator

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Deformation spaces of discrete groups and hyperbolic structuresPrincipal Investigator

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Research on the deformation space of hyperbolic structures on manifoldsPrincipal Investigator

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Fujii Michihiko 藤井道彦

FUJII Michihiko 藤井道彦