Hirachi Kengo 平地健吾

… Alternative Names

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
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis / 解析学 Except Principal Investigator Basic analysis / Basic analysis / Geometry / 解析学 / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Algebra
Keywords	Principal Investigator ベルグマン核 / 放物型不変式論 / 強擬凸領域 / CR幾何 / CR不変量 / CR geometry / セゲー核 / 値分布論 / アインシュタイン計量 / strictly pseudoconvex domain … More Except Principal Investigator 強擬凸領域 / 多変数複素解析 / ベルグマン核 / 乗数イデアル層 / 擬凸領域 / 幾何学 / 分岐則 / 基本群 / 表現論 / リー群 / Kontsevich不変量 / Bergman計量 / フラクタル / ビリヤード / 確率過程 / 複素モンジュ-アンペール境界値問題 / complex dynamics / 関数論 / ツィスター空間 / 特異エルミート計量 / ジャコビアン予想 / 乗数デイアル層 / 自己同型写像 / 平面アフィン曲線 / Bergman核 / Finite graph / 変形剛性 / 実関数論 / 関数解析 / 交点理論 / エルゴード理論 / 複素力学系 / ルート系 / ヘーガード分解 / 2次元複素トーラス / 拡張定理 / 複素多様体 / 普遍定数 / 有限グラフ / オービホールド / 多重標準束 / 特異点 / Homology plane / extension theorem / テンパリー・リーブ代数 / ゼゲー核 / Calabi-Yau多様体 / Affine space / 特異エルミート計算 / 神経回路網 / canonical divisor / アフィン空間 / 複素歳何 / singular Hermitian metric / 閉測地線 / エルンスト方程式 / ∞でのベルグマン核の挙動 / Griffiths正 / 複素幾何 / ワイル不変量 / スタイン多様体 / モーザーの漂準形 / 値分布 / シュレーディンガーモデル / ユニタリ表現 / Kahler manifolds / 境界挙動 / pseudoconvex domain / 開代数曲面 / CR不変量 / Knot invariant / コホモロジー入射性定理 / Algebraic variety / complex manifolds / 内的シミュレ-ション / Stein manifolds / 極小表現 / 順層 / ホップ代数 / topological invariant / モジュライ空間 / 重力場 / 可視的作用 / Hecke algebra / 退化族 / タイヒミューラー空間 / 位相的不変量 / 有限生成性 / ゼゲ-核函数 / アルゴリズム / 小林双曲的多様体 / Levi flat / コモホロジー入射性定理 / Teichmuller space / メタレベル表現 / Singularity / 群作用 / Calabi-Yau manifold / 複素解析 / moduli space / 不変式 / 正則ベクトル束 / 標準束 / 漸近解析 / value distribution / 再生核 / 3次元多様体 / 無重複表現 / 次数最小埋め込み / 組み合わせ論 / Jacobian Conjecture / L^2正則関数 / 極限定理 / Twistor space / 幾何学的複素解析 / デル・ペッツオ曲面 / ベルグマン核函数 / Quantum group / 超リー代数 / geometric complex analysis / 簡約リー群 / ヘッケ環 / 随伴束 / 多重積分 / 量子群 / 消滅定理 / 幾何的量子化 / 多変数関数論 / 代数多様体 / holomorphic vector bundle / フックス群 / Super Lie algebra / multiplier ideal sheaf / 結び目 / ケーラー多様体 / ホッジ計量 / Bergman空間 / 漸近展開 / フーリエ変換 / Kobayashi hyperbolic manifold / 不連続群 / 解析学 / オ-トマン / 局所ワイル群 / レヴィ平坦超曲面 / モデル領域 / 力学系 / 動的パ-タン学習 / Ernst equation / Hardy空間 / シュレディンガーモデル / ホモロジー平面 / Hodge計量 / Levi平坦 / 多重標準形式 / several complex variables / グラフ Less

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

[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
- Int'l Joint Research / Peer Reviewed
- 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 / Int'l Joint Research / Peer Reviewed
- 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

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52. MATSUKI TOSHIHIKO (20157283)

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53. 池田信行 (00028078)

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54. 辻下徹 (10107063)

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55. 山本芳彦 (90028184)

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56. 小磯深幸 (10178189)

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57. 加須栄篤 (40152657)

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58. 盛田健彦 (00192782)

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59. 山崎洋一 (50252573)

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60. 磯崎洋 (90111913)

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61. 後藤竜司 (30252571)

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62. 小谷眞一 (10025463)

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63. 鈴木昌和 (20112302)

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64. 増田佳代 (40280416)

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65. 藤本坦孝 (60023595)

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66. 宍倉光広 (70192606)

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67. 中西敏浩 (00172354)

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68. 稲場道明 (80359934)

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69. ROBIN Graham

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70. MOUROUGANE Christophe

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Hirachi Kengo 平地 健吾

HIRACHI KENGO 平地 健吾

平地 健吾 ヒラチ ケンゴ

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Comprehensive study of geometric complex analysisPrincipal InvestigatorOngoing

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New development of geometric complex analysisPrincipal Investigator

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Study of complex analysis from a point of view of parabolic geometryPrincipal Investigator

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Bergman zeta function and index theorems of complex domainsPrincipal Investigator

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Asymptotic expansion of the Bergman kernel and CR gauge invariantsPrincipal Investigator

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Invariant theory of the Bergman kernel and index theorems.Principal Investigator

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Hirachi Kengo 平地健吾

HIRACHI KENGO 平地健吾

平地健吾ヒラチケンゴ