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Hirachi Kengo  平地 健吾

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… Alternative Names

HIRACHI KENGO  平地 健吾

平地 健吾  ヒラチ ケンゴ

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Researcher Number 60218790
Other IDs
External Links
Affiliation (Current) 2019: 東京大学, 大学院数理科学研究科, 教授
Affiliation (based on the past Project Information) *help 2016 – 2019: 東京大学, 大学院数理科学研究科, 教授
2012 – 2015: 東京大学, 数理(科)学研究科(研究院), 教授
2013: 東京大学, 大学院数理科学研究科, 教授
2009 – 2011: The University of Tokyo, 大学院・数理科学研究科, 教授
2007 – 2009: The University of Tokyo, 大学院・数理科学研究科, 准教授 … More
2008: 東京大学, 大学院・教理科学研究所, 准教授
2006: The University of Tokyo, Graduate school of mathematical sciences, Associate professor, 大学院数理科学研究科, 助教授
2005: The University of Tokyo, Graduate School of Mathematical Sciences, Associate Professor, 大学院・数理学研究科, 助教授
2000 – 2005: 東京大学, 大学院・数理科学研究科, 助教授
1997 – 1999: 大阪大学, 大学院・理学研究科, 講師
1990 – 1995: 大阪大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Basic analysis / 解析学 / Basic analysis
Except Principal Investigator
Basic analysis / 解析学 / Geometry / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Algebra
Keywords
Principal Investigator
ベルグマン核 / 放物型不変式論 / 強擬凸領域 / CR不変量 / CR幾何 / 共形幾何 / セゲー核 / アインシュタイン計量 / 放物型幾何 / ケーラー計量 … More / 放物型幾何学 / 値分布論 / 特異点 / ツイスター空間 / Bergman kernel / strictly pseudoconvex domain / CR geometry / 不変式論 / 漸近展開 / 双正則不変量 / アンビエント計量 / Q-曲率 / 積分不変量 / CR多様体 / ケーラー多様体 / 乗数層イデアル / 複素多様体 / 解析的捩率 / 乗数イデアル層 / 連接層 / 等質有界領域 / 指数定理 / グラウエルト柱状領域 / Bevgman Kevuel / Parabolic Tnvaviant theory / CR invariant / index theorem / 放物型不変式 / アノマリー / parabolic invariant theory / anomaly / Parabolic invariant theory / conformal geometry / 複素解析 / 多変数関数論 / 極小モデル / 多変数函数論 / L2拡張定理 / 双有理幾何学 / 特異点論 / CR幾何学 … More
Except Principal Investigator
強擬凸領域 / ベルグマン核 / 多変数複素解析 / 乗数イデアル層 / 幾何学 / リー群 / 表現論 / 分岐則 / 基本群 / 擬凸領域 / ベルグマン核函数 / ゼゲ-核函数 / 再生核 / 漸近展開 / 境界挙動 / 神経回路網 / オ-トマン / 動的パ-タン学習 / メタレベル表現 / 内的シミュレ-ション / ゼゲー核 / 複素モンジュ-アンペール境界値問題 / CR不変量 / ワイル不変量 / モーザーの漂準形 / 普遍定数 / 力学系 / エルゴード理論 / 確率過程 / フックス群 / 閉測地線 / 極限定理 / ビリヤード / フラクタル / 関数論 / 実関数論 / 多変数関数論 / 複素解析 / 複素幾何 / 複素歳何 / 多重標準束 / 退化族 / ホッジ計量 / 関数解析 / 極小表現 / ユニタリ表現 / 簡約リー群 / 可視的作用 / 幾何的量子化 / シュレーディンガーモデル / 無重複表現 / フーリエ変換 / 多重積分 / シュレディンガーモデル / 重力場 / 結び目 / 量子群 / ヘッケ環 / グラフ / ルート系 / 特異点 / 超リー代数 / ホップ代数 / 局所ワイル群 / デル・ペッツオ曲面 / エルンスト方程式 / ヘーガード分解 / オービホールド / テンパリー・リーブ代数 / Ernst equation / Knot invariant / Hecke algebra / Quantum group / Singularity / Super Lie algebra / 代数多様体 / アフィン空間 / ジャコビアン予想 / ホモロジー平面 / 有限グラフ / ツィスター空間 / Calabi-Yau多様体 / 位相的不変量 / 開代数曲面 / 群作用 / 組み合わせ論 / 自己同型写像 / 3次元多様体 / 平面アフィン曲線 / 次数最小埋め込み / 不変式 / 有限生成性 / アルゴリズム / Kontsevich不変量 / Algebraic variety / Affine space / Jacobian Conjecture / Homology plane / Finite graph / Twistor space / Calabi-Yau manifold / topological invariant / 幾何学的複素解析 / 小林双曲的多様体 / 値分布 / モジュライ空間 / 複素力学系 / タイヒミューラー空間 / several complex variables / geometric complex analysis / Kobayashi hyperbolic manifold / value distribution / pseudoconvex domain / moduli space / complex dynamics / Teichmuller space / 複素多様体 / 正則ベクトル束 / 拡張定理 / Levi平坦 / ケーラー多様体 / スタイン多様体 / コモホロジー入射性定理 / ∞でのベルグマン核の挙動 / レヴィ平坦超曲面 / 2次元複素トーラス / L^2正則関数 / Bergman計量 / 変形剛性 / Bergman空間 / Hardy空間 / コホモロジー入射性定理 / モデル領域 / 漸近解析 / Bergman核 / complex manifolds / holomorphic vector bundle / extension theorem / Levi flat / Kahler manifolds / Stein manifolds / 特異エルミート計量 / 標準束 / 消滅定理 / Hodge計量 / Griffiths正 / 順層 / 随伴束 / 多重標準形式 / 乗数デイアル層 / 特異エルミート計算 / 交点理論 / multiplier ideal sheaf / singular Hermitian metric / canonical divisor / 解析学 / 不連続群 Less
  • Research Projects

    (21 results)
  • Research Products

    (105 results)
  • Co-Researchers

    (70 People)
  •  Comprehensive study of geometric complex analysisPrincipal InvestigatorOngoing

    • Principal Investigator
      平地 健吾
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Infinite dimensional representations and global analysis

    • Principal Investigator
      Kobayashi Toshiyuki
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  New development of geometric complex analysisPrincipal Investigator

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Analysis of minimal representations and branching laws of infinite-dimensional representations

    • Principal Investigator
      KOBAYASHI Toshiyuki
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Research on pluricanonical bundles and multiplier ideal sheaves for a degenerate family of complex manifolds

    • Principal Investigator
      TAKAYAMA Shigeharu
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Study of complex analysis from a point of view of parabolic geometryPrincipal Investigator

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Integrated Research of Analytic and Geometric Invariants of Complex Structure

    • Principal Investigator
      NOGUCHI Junjiro
    • Project Period (FY)
      2005 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Multiplier ideal sheaves in complex geometry ; the foundation and its applications.

    • Principal Investigator
      TAKAYAMA Shigeharu
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
      Kyushu University
  •  Bergman zeta function and index theorems of complex domainsPrincipal Investigator

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Global complex analysis - around L^2 holomorphic functions

    • Principal Investigator
      OHSAWA Takeo
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Integrated Study of Complex Analytic Structure

    • Principal Investigator
      NOGUCHI Junjiro
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Asymptotic expansion of the Bergman kernel and CR gauge invariantsPrincipal Investigator

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Invariant theory of the Bergman kernel and index theorems.Principal Investigator

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Rational Curves on Algebraic Varieties

    • Principal Investigator
      MIYANISHI Masayoshi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  強擬凸領域のBergman核に現われる大域的双正則不変量Principal Investigator

    • Principal Investigator
      平地 健吾
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  強擬凸領域の幾何に現われる不変式論Principal Investigator

    • Principal Investigator
      平地 健吾
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  強擬凸領域における再生核の族の漸近解析

    • Principal Investigator
      小松 玄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  力学系における確率現象の解析的研究

    • Principal Investigator
      盛田 健彦
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Representations of Groups, Lie Algebras, and Algebras

    • Principal Investigator
      KAWANAKA Noriaki
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  環境の動的構造を学習する神経回路網の研究

    • Principal Investigator
      辻下 徹
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  多変数函数論に現れる再生核の不変式論

    • Principal Investigator
      KOMATSU Gen
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University

All 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation

  • [Journal Article] Variation of total Q-prime curvature on CR manifolds2017

    • Author(s)
      Hirachi Kengo、Marugame Taiji、Matsumoto Yoshihiko
    • Journal Title

      Advances in Mathematics

      Volume: 306 Pages: 1333-1376

    • DOI
      10.1016/j.aim.2016.11.005
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Journal Article] Variation of total Q-prime curvature on CR manifolds2017

    • Author(s)
      K. Hirachi,T. Marugame,Y. Matsumoto
    • Journal Title

      Adv. Math.

      Volume: 306

    • Acknowledgement Compliant / Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Journal Article] Integral Kaehler invariants and the Bergman kernel asymptotics for line bundles2017

    • Author(s)
      Alexakis Spyros、Hirachi Kengo
    • Journal Title

      Advances in Mathematics

      Volume: 308 Pages: 348-403

    • DOI
      10.1016/j.aim.2016.12.014
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Journal Article] Integral Kahler Invariants and the Bergman kernel asymptotics for line bundles2017

    • Author(s)
      S. Alexakis and K. Hirachi
    • Journal Title

      Adv. Math.

      Volume: 308

    • Acknowledgement Compliant / Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Journal Article] Q and Q-prime curvature in CR geometry2015

    • Author(s)
      K. Hirachi
    • Journal Title

      Proceedings of the ICM, Seoul 2014

      Volume: 無し

    • Data Source
      KAKENHI-PROJECT-22244008
  • [Journal Article] Q-prime curvature on CR manifolds2014

    • Author(s)
      K. Hirachi
    • Journal Title

      Diff. Geom. Appl.

      Volume: 33 Suppl Pages: 213-245

    • Acknowledgement Compliant / Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Journal Article] Inhomogeneous Ambient Metrics, in Symmetries and Overdetermined Systems of Partial Differential Equations2008

    • Author(s)
      C.R. Graham and K. Hirachi
    • Journal Title

      The IMA volumes in mathematics and its applications 144

      Pages: 403-420

    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Ambient metric construction of CR invariant differential operators2008

    • Author(s)
      平地健吾
    • Journal Title

      The IMA vol. in math. and its applications 144

      Pages: 61-76

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Inhomogeneous ambient metrics2008

    • Author(s)
      Graham, C.R. and Hirachi, K.
    • Journal Title

      IMA Vol. Math. Appl. 144

      Pages: 403-420

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Inhomogeneous ambient metrics. Symmetries and overdetermined systems of artial differential equations2008

    • Author(s)
      Graham, C. Robin and Hirachi, Kengo
    • Journal Title

      IMA Vol. Math. Appl. 144

      Pages: 403-420

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Ambient metric construction of CR invariant differential operators2008

    • Author(s)
      Hirachi, K.
    • Journal Title

      IMA Vol. Math. Apol. 144

      Pages: 61-75

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Ambient metric construction of CR invariant differential operators, in Symmetries and Overdetermined Systems of Partial Differential Equations2008

    • Author(s)
      K. Hirachi
    • Journal Title

      The IMA volumes in mathematics and its applications 144

      Pages: 61-76

    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Ambient metric construetion of CR invariant2008

    • Author(s)
      Kengo Hirachi
    • Journal Title

      To appear in IMA in Math.and AppI

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Inhomogeneous ambient metrics2008

    • Author(s)
      C.RGraham and K.Hirachi
    • Journal Title

      To appear in IMA in Math.and AppI

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Ambient metric const-ruction of CR invariant differential operators, in "Symmetries and Overdeter-mined Systems of Partial Differential Equations2008

    • Author(s)
      Kengo Hirachi
    • Journal Title

      The IMA volumes in mathematics and its applications 144

      Pages: 61-76

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Ambient metric construction of CR invariant differentialoperators. Symmetries and overdetermined systems of partial differential equations2008

    • Author(s)
      Hirachi, Kengo
    • Journal Title

      IMA Vol. Math. Appl 144

      Pages: 61-75

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Inhomogeneous Ambient Metrics, in "Symmetries and Overdetermined Systems of Partial Differential Equations2008

    • Author(s)
      C. Robin Graham, Kengo Hirachi
    • Journal Title

      The IMA volumes in mathematics and its applications 144

      Pages: 403-420

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Ambient metric construction of CR invariant2007

    • Author(s)
      K. Hirachi
    • Journal Title

      IMA in Math.and Appl. 144

      Pages: 403-420

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Inhomogeneous ambient metrics2007

    • Author(s)
      C. R Graham, K. Hirachi
    • Journal Title

      IMA in Math.and Appl. 144

      Pages: 403-420

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Alnbient metric construction of CR invariant differential operators,Symmetries and Overdetermined Systems of Partial Differential Equations2007

    • Author(s)
      Kengo Hirachi
    • Journal Title

      The IMA volumes in mathematics and its applications 144

      Pages: 61-76

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Inhomogeneous Ambient Metrics,The IMA volumes in mathematics and its apphcations 144,403-4202007

    • Author(s)
      C.Robin Graham and Kengo Hirachi
    • Journal Title

      The IMA volumes in mathematics and its applications 144

      Pages: 403-420

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Logarithmic singularity of the Szego kernel and a global invariant of strictly pseudoconvex domains2006

    • Author(s)
      K. Hirachi
    • Journal Title

      Ann. Of Math 163

      Pages: 499-515

    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Logarithmic singularity of the Szego kernel and a global invariant of strictly pseudoconvex domains2006

    • Author(s)
      K. Hirachi
    • Journal Title

      Ann.Math. 163

      Pages: 499-515

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Logarithmic singularity of the Szego kernel and a global invariant of strictly pseudoconvex domains2006

    • Author(s)
      K.Hirachi
    • Journal Title

      Ann.of Math. 163

      Pages: 499-515

    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Logarithemic singularity of the Szego kernel and a global invariant of strictly pseudoconvex domains2006

    • Author(s)
      平地 健吾
    • Journal Title

      Annals of Mathematics 163

      Pages: 389-405

    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Logarithmic singularity of the Szego kernel and a global invar-iant of strictly pseudoconvex domains2006

    • Author(s)
      Kengo Hirachi
    • Journal Title

      Ann.of Math. 163

      Pages: 499-515

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Logarithmic singularity of the Szego kernel and a global invariant of strictly pseudoconvex domains2006

    • Author(s)
      平地 健吾
    • Journal Title

      Annals of Mathematics 163

      Pages: 389-405

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] Logarithmic singularity of the Szego kernel and a global invariant of strictly pseudoconvex domains2006

    • Author(s)
      K. Hirachi
    • Journal Title

      Ann. of Math. 163

      Pages: 499-515

    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Logarithmic singularity of the Szego kernel and a global invariant of strictly pseudoconvex domains2006

    • Author(s)
      K.Hirachi
    • Journal Title

      Ann. of Math. 163

      Pages: 499-515

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] Logarithmic singularity of the Szego kernel and a global invariant of strictly pseudoconvex domains2006

    • Author(s)
      Hirachi K.
    • Journal Title

      Ann. of Math. 163

      Pages: 499-515

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] The ambient obstruction tensor and Q-curvature2005

    • Author(s)
      C.Robin Graham, K.Hirachi
    • Journal Title

      IRMA Lect.Math.Theor.Phys. 8

      Pages: 59-71

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] The ambient obstruction tensor and Q-curvature2005

    • Author(s)
      Kengo Hirachi et al.
    • Journal Title

      IRMA Lect.Math.Theor.Phys. 8

      Pages: 59-71

    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] The ambient obstruction tensor and Q-curvature2005

    • Author(s)
      平地健吾, Robin Graham
    • Journal Title

      IRMA Lect.Math.Theor.Phys. 8

      Pages: 59-71

    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] The ambient obstruction tensor and Q-curvature2005

    • Author(s)
      C.Robin Graham, K.Hirachi
    • Journal Title

      Einstein metrics and their conformal boundaries, IRMA Lect.Math.Theor.Phys.,8,Eur.Math.Soc.,Zurich 8

      Pages: 59-71

    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] The ambient obstruction tensor and Q-curvature2005

    • Author(s)
      平地健吾, Robin Graham
    • Journal Title

      IRMA Lect. Math. Theor. Phys. 8

      Pages: 59-71

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] Conformally invariant powers of the Laplacian-A complete non-existence theorem2004

    • Author(s)
      A.R.Gover, K.Hirachi
    • Journal Title

      Jour.Amer.Math.Soc. 17

      Pages: 389-405

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Conformally invariant powers of the Laplacian -a complete nonexistence theorem2004

    • Author(s)
      Gover A.R., Hirachi K.
    • Journal Title

      J. Amer. Math. Soc. 17

      Pages: 389-405

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] Conformally invariant powers of the Laplacian-A complete non-existence theorem2004

    • Author(s)
      平地健吾, Rod Gover
    • Journal Title

      Journal of American Mathematical Society 17

      Pages: 389-405

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] Conformally invariant powers of the Laplacian---a complete nonexistence theorem2004

    • Author(s)
      Kengo Hirachi et al.
    • Journal Title

      J.Amer.Math.Soc 17

      Pages: 389-405

    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] Conformally invariant powers of the Laplacian - A complete non-existence theorem2004

    • Author(s)
      A.R.Gover, K.Hirachi
    • Journal Title

      Jour.Amer.Math.Soc. 17

      Pages: 389-405

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] A link between the asymptotic expansions of the Bergman kernel and the Szego kernel2004

    • Author(s)
      K.Hirachi
    • Journal Title

      Adv.Stud.Pure Math. 42

      Pages: 115-121

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] Conformally invariant powers of the Laplacian -- A complete non-existence theorem2004

    • Author(s)
      Rod Gover, K.Hirachi
    • Journal Title

      Jour.Amer.Math.Soc. 17

      Pages: 389-405

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] A link between the asymptotic expansions of Bergman kernel and the Szego kernel2004

    • Author(s)
      H.Hirachi
    • Journal Title

      Advanced Studies in Pure Mathematics 42

      Pages: 115-121

    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] A link between the asymptotic expansions of the Bergman kernel and the Szego kernel2004

    • Author(s)
      K.Hirachi
    • Journal Title

      Advanced Studies in Pure Mathematics 42

      Pages: 115-121

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Conformally invariant powers of the Laplacian --- a complete nonexistence theorem2004

    • Author(s)
      Gover A.R., Hirachi K.
    • Journal Title

      J. Amer. Math. Soc. 17

      Pages: 389-405

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] A link between the asymptotic expansions of the Bergman kernel and the Szego kernel2004

    • Author(s)
      平地 健吾
    • Journal Title

      Advanced Studies in Pure Mathematics 42

      Pages: 115-121

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] Ambient metric construction of Qcurvature in conformal and CR geometries2003

    • Author(s)
      C.Fefferman, K.Hirachi
    • Journal Title

      Math.Res.Lett. 10

      Pages: 819-832

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Ambient metric construction of Q-curvature in conformal and CR geometries2003

    • Author(s)
      Charles Fefferman, K.Hirachi
    • Journal Title

      Math.Res.Lett. 10

      Pages: 819-832

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] Ambient metric construction of Q-curvature in conformal and CR geometries2003

    • Author(s)
      平地健吾, Charles Fefferman
    • Journal Title

      Mathematical Research Letters 10

      Pages: 819-832

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340040
  • [Journal Article] Ambient metric construction of Q-curvature in conformal and CR geometries2003

    • Author(s)
      Fefferman Ch., Hirachi K.
    • Journal Title

      Math. Res. Lett. 10

      Pages: 819-831

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] Ambient metric construction of Q-curvature in conformal and CR geometrics2003

    • Author(s)
      C.Fefferman, K.Hirachi
    • Journal Title

      Math.Res.Lett. 10

      Pages: 819-832

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] セゲー核の対数項とRamadanov予想

    • Author(s)
      平地健吾
    • Journal Title

      京都大学数理解析研究所講究録 (掲載確定)

    • Data Source
      KAKENHI-PROJECT-18340036
  • [Journal Article] Logarithmic singularity of the Szego kernel and a global invariant of strictly pseudoconvex domains

    • Author(s)
      平地 健吾
    • Journal Title

      Annals of Mathematics (掲載決定)

    • Data Source
      KAKENHI-PROJECT-15340040
  • [Presentation] Log term of the Bergman kernel and the deformation complex for CR structures2018

    • Author(s)
      K. Hirachi
    • Organizer
      Partial Differential Equations (Taiwan)
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Presentation] Slice theorem for CR structures on the sphere and its applications2017

    • Author(s)
      K. Hirachi
    • Organizer
      Complex Analysis and Geometry - XXIII (Italy)
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Presentation] Slice theorem for CR structures on the sphere and its applications2017

    • Author(s)
      K. Hirachi
    • Organizer
      The 12th Korean Conference on Several Complex Variables (Korea)
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Presentation] Slice theorem for CR structures on the sphere and its applications2017

    • Author(s)
      K. Hirachi
    • Organizer
      International Conference on Symmetry and Geometric Structures, Banach center (Poland)
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Presentation] Log term of the Bergman kernel and the deformation complex for CR structures2017

    • Author(s)
      K. Hirachi
    • Organizer
      Math department colloquium, Princeton Univ. (USA)
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Presentation] Renormalized volume of strictly pseudoconvex domains2016

    • Author(s)
      K. Hirachi
    • Organizer
      Complex Analysis: Geometric and Dynamical Aspects
    • Place of Presentation
      Almora, インド
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Presentation] Integral Kahler Invariants and the Bergman kernel asymptotics for line bundles2016

    • Author(s)
      Kengo Hirachi
    • Organizer
      The Third Taiwan International Conference on Differential Geometry
    • Place of Presentation
      Taiwan Univ. (台湾)
    • Year and Date
      2016-01-22
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Presentation] Total Q-prime curvature in view of scattering theory2016

    • Author(s)
      K. Hirachi
    • Organizer
      Pacific RIM Conference on Mathematics
    • Place of Presentation
      ソウル国立大学,韓国
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Presentation] Super critical CR invariant powers of sub-Laplacian2015

    • Author(s)
      平地 健吾
    • Organizer
      再生核の応用についての総合的な研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-07-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Presentation] Integral Kahler Invariants and the Bergman kernel asymptotics for line bundles2015

    • Author(s)
      平地 健吾
    • Organizer
      複素解析幾何セミナー
    • Place of Presentation
      東京大学
    • Year and Date
      2015-05-11
    • Data Source
      KAKENHI-PROJECT-15H02057
  • [Presentation] Renormalization volume of strictly pseudoconvex domains and Burns-Epstein invariant2014

    • Author(s)
      K. Hirachi
    • Organizer
      HAYAMA Symposium on Complex Analysis in Several Variables
    • Place of Presentation
      湘南国際村センター
    • Year and Date
      2014-07-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Q and Q-prime curvature in CR geometry2014

    • Author(s)
      K. Hirachi
    • Organizer
      ICM Seoul
    • Place of Presentation
      ソウル (韓国)
    • Year and Date
      2014-08-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Integral Kaehler Invariants and the Tian-Yau-Zelditch expansion of the Bergman kernel2014

    • Author(s)
      平地健吾
    • Organizer
      ベルグマン核を巡る解析幾何の話題
    • Place of Presentation
      京都大学
    • Year and Date
      2014-09-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Szego kernels on strictly pseudoconvex domains and Q-curvature2013

    • Author(s)
      K. Hirachi
    • Organizer
      Analysis seminar
    • Place of Presentation
      Aarhus University (デンマーク)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Q-prime curvature in CR geometry2013

    • Author(s)
      K. Hirachi
    • Organizer
      Conference on geometrical analysis
    • Place of Presentation
      Centre de Recerca Mathematica (Spain)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] CR invariant powers of the sub-Laplacian beyond the obstruction2012

    • Author(s)
      K. Hirachi
    • Organizer
      International workshop on complex variables and complex geometry
    • Place of Presentation
      Academia Sinica (台湾)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Ambient metric for even dimensional conformal structures2012

    • Author(s)
      K. Hirachi
    • Organizer
      Recent Developments in Conformal Geometry
    • Place of Presentation
      University of Nantes (フランス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Invariant theory for the Szego kernel and CR Q-curvature2012

    • Author(s)
      K. Hirachi
    • Organizer
      The Interaction of Geometry and Representation Theory. Exploring new frontiers
    • Place of Presentation
      ESI (オーストリア)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] アインシュタイン方程式と共形不変量,総合講演2012

    • Author(s)
      平地健吾
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      九州大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Decomposition of critical GJMS operators on CR manifolds2011

    • Author(s)
      平地健吾
    • Organizer
      The Geometry of Differential Equations
    • Place of Presentation
      キャンベラ(オーストラリア)(招待講演)
    • Year and Date
      2011-09-20
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Total Q-curvature vanishes on integrable CR manifolds2011

    • Author(s)
      平地健吾
    • Organizer
      Differential Geometry and Tanaka Theory
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-01-27
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] CR invariant differential operators and BGG complex2011

    • Author(s)
      平地健吾
    • Organizer
      Tokyo-Seoul Conference in Mathematics
    • Place of Presentation
      東京大学(東京)(招待講演)
    • Year and Date
      2011-12-02
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Integral Kahler invariants2011

    • Author(s)
      平地健吾
    • Organizer
      Tambara Workshop on the Bergman kernel and Related Topics
    • Place of Presentation
      東京大学玉原国際セミナーハウス(群馬)(招待講演)
    • Year and Date
      2011-10-27
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] 強擬凸領域の幾何とアンビエント空間2011

    • Author(s)
      平地健吾
    • Organizer
      Encounter with Mathematics
    • Place of Presentation
      中央大学理工学部
    • Year and Date
      2011-02-22
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Total Q-curvature vanishes on integrable CR manifolds2010

    • Author(s)
      平地健吾
    • Organizer
      Tambara Workshop on Parabolic Geometries and Related Topics
    • Place of Presentation
      玉原高原
    • Year and Date
      2010-11-04
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] CR幾何の問題、複素幾何学の諸問題2010

    • Author(s)
      平地健吾
    • Place of Presentation
      京大数理研
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-19340014
  • [Presentation] Scalar Invariants for Even Dimensional Conformal Structures2009

    • Author(s)
      Kengo Hirachi
    • Organizer
      Geometric PDE seminar, Institute for Advanced Study
    • Place of Presentation
      Princeton (USA)
    • Year and Date
      2009-02-03
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Fefferman-Graham's ambient metric and scalar invariants of conformal structures2009

    • Author(s)
      Kengo Hirachi
    • Organizer
      PDE Seminar
    • Place of Presentation
      MIT (USA)
    • Year and Date
      2009-03-18
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Quadratic invariants of conformal structures2009

    • Author(s)
      K.Hirachi
    • Organizer
      Geometry and PDE Seminar
    • Place of Presentation
      ワシントン大学(米国)
    • Year and Date
      2009-10-28
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Fefferman-Graham's ambient metric and scalar invariants of conformal structures2009

    • Author(s)
      平地健吾
    • Organizer
      PDE Seminar
    • Place of Presentation
      MIT(米国,ケンブリッジ)
    • Year and Date
      2009-03-18
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] セゲー核の対数項とRamadanov予想2009

    • Author(s)
      平地健吾
    • Organizer
      ポテンシャル論とベルグマン核
    • Place of Presentation
      京都大学理学部
    • Year and Date
      2009-12-02
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] Integral Kahler invariants and the singularity of the Szego kernel2009

    • Author(s)
      Kengo Hirachi
    • Organizer
      Programme for the d-bar Neumann problem
    • Place of Presentation
      ESI (Austria)
    • Year and Date
      2009-12-15
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Integral Kaehler invariants and the singularity to the Szego kernel2009

    • Author(s)
      平地健吾
    • Organizer
      Programme for the d-bar Neumann problem
    • Place of Presentation
      シュレディンガー研究所(オーストリア,ウィーン)
    • Year and Date
      2009-12-15
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] Integral Kahler invariants and the singularity of theSzego kernel2009

    • Author(s)
      K.Hirachi
    • Organizer
      Programme for the d-bar Neumann problem
    • Place of Presentation
      ESI(オーストリア)
    • Year and Date
      2009-12-15
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] セゲー核の対数項とRamadanov予想2009

    • Author(s)
      K.Hirachi
    • Organizer
      ポテンシャル論とべルグマン核
    • Place of Presentation
      京都大学
    • Year and Date
      2009-12-02
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Quadratic invariants of conformal structures2009

    • Author(s)
      平地健吾
    • Organizer
      Geometry and PDE Seminar
    • Place of Presentation
      ワシントン大学(米国,シアトル)
    • Year and Date
      2009-10-28
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] Scalar Invariants for Even Dimensional Conformal Structures2009

    • Author(s)
      平地健吾
    • Organizer
      Geometric PDE seminar
    • Place of Presentation
      Institute for A6anced Study, Princeton, USA
    • Year and Date
      2009-02-03
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Scalar Invariants for Even Dimensional Conformal Structures2009

    • Author(s)
      Kengo Hirachi
    • Organizer
      Geometric PDE seminar, Institute for Advanced Study, Princeton
    • Place of Presentation
      USA
    • Year and Date
      2009-02-03
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] 佐々木多様体上のセゲー核とQ-曲率2008

    • Author(s)
      平地健吾
    • Organizer
      葉層の微分幾何とベルグマン核
    • Place of Presentation
      京都大学、京都
    • Year and Date
      2008-12-15
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] Ambient realization of the conformal deformation complex2008

    • Author(s)
      Kengo Hirachi
    • Organizer
      Conformal Geometry : invariant theory and the variational method
    • Place of Presentation
      Roscoff (France)
    • Year and Date
      2008-07-13
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Scalar invariants for even dimensional conformal structures2008

    • Author(s)
      平地健吾
    • Organizer
      Parabolic Geometry and PDE
    • Place of Presentation
      University of Auckland, NewZealand
    • Year and Date
      2008-08-05
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Ambient realization of the conformal deformation complex2008

    • Author(s)
      平地健吾
    • Organizer
      Conformal Geometry:invariant theory and the variational method
    • Place of Presentation
      Roscoff, France
    • Year and Date
      2008-07-01
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] Ambient realization of the conformal deformation complex2008

    • Author(s)
      平地健吾
    • Organizer
      Conformal Geometry : invariant theory and the variational method
    • Place of Presentation
      Roscoff, France.
    • Year and Date
      2008-07-01
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Scalar invariants for even dimensional confbrmal structures2008

    • Author(s)
      平地健吾
    • Organizer
      Parabolic Geometry and PDE
    • Place of Presentation
      University of Auckland, NewZealand
    • Year and Date
      2008-08-05
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] 佐々木多様体上のセゲー核とQ-曲率2008

    • Author(s)
      平地健吾
    • Organizer
      葉層の微分幾何とベルグマン核
    • Place of Presentation
      京都大学
    • Year and Date
      2008-12-15
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Jet isomotphism theorem in conformal geometry2007

    • Author(s)
      Kengo Hirachi
    • Organizer
      Asymptotic structures in geometric analysis
    • Place of Presentation
      Stanford Univ. (USA)
    • Year and Date
      2007-03-17
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Q-curvature in CR geometry2007

    • Author(s)
      Kengo Hirachi
    • Organizer
      Midwest Geometry Conference
    • Place of Presentation
      University of Iowa (USA)
    • Year and Date
      2007-05-19
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] The ambient metric to all orders in even dimensions2006

    • Author(s)
      Kengo Hirachi
    • Organizer
      8th Pacific Rim Geometry Conference
    • Place of Presentation
      South Durras (Australia)
    • Year and Date
      2006-12-13
    • Data Source
      KAKENHI-PROJECT-18340036
  • [Presentation] Szegoe 核の不変式論2006

    • Author(s)
      K. Hirachi
    • Organizer
      日本数学会特別講演
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2006-09-19
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] The ambient metric to all orders in even dimensions2006

    • Author(s)
      K. Hirachi
    • Organizer
      8th Pacific Rim Geometry Conference
    • Place of Presentation
      South Durras (Australia)
    • Year and Date
      2006-12-14
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] Fefferman-Graham metric for even dimensional conformal structures2005

    • Author(s)
      K. Hirachi
    • Organizer
      Hayama Symosium on Complex Analysis 2005
    • Place of Presentation
      葉山
    • Year and Date
      2005-12-19
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] Integral invariants of Kahler class and asymptotic expansion of the Bergman kernels of powers of line bundle

    • Author(s)
      平地健吾
    • Organizer
      Extremal metrics : evolution equations and stability
    • Place of Presentation
      20110210(CIRM,マスセイユ(フランス))
    • Data Source
      KAKENHI-PROJECT-22244008
  • 1.  OHSAWA Takeo (30115802)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  KOMATSU Gen (60108446)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  TAKAYAMA Shigeharu (20284333)
    # of Collaborated Projects: 6 results
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  • 4.  MABUCHI Toshiki (80116102)
    # of Collaborated Projects: 5 results
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  • 5.  YOSHIKAWA Kenichi (20242810)
    # of Collaborated Projects: 4 results
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  • 6.  OSHIMA Toshio (50011721)
    # of Collaborated Projects: 4 results
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  • 7.  MABIUCHI Toshiki (10112278)
    # of Collaborated Projects: 3 results
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  • 8.  MURAKAMI Jun (90157751)
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  • 9.  NOGUCHI Junjiro (20033920)
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  • 10.  TSUJI Hajime (30172000)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
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  • 28.  KAZAMA Hideaki (10037252)
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  • 29.  田辺 広城 (70028083)
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  • 47.  TAKEGOSHI Kensho (20188171)
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  • 50.  SUZUKI Nariaki (50154563)
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  • 51.  TAKAGI Hiromichi (30322150)
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  • 52.  MATSUKI TOSHIHIKO (20157283)
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  • 56.  小磯 深幸 (10178189)
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  • 57.  加須栄 篤 (40152657)
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  • 63.  鈴木 昌和 (20112302)
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  • 68.  稲場 道明 (80359934)
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  • 70.  MOUROUGANE Christophe
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