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Analytical and Geometrical Study of Integral Representations of Differential Equations

Research Project

Project/Area Number 17340049
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionKumamoto University

Principal Investigator

HARAOKA Yoshishige  Kumamoto University, 大学院・自然科学研究科, 教授 (30208665)

Co-Investigator(Kenkyū-buntansha) 木村 弘信  熊本大学, 大学院・自然科学研究科, 教授 (40161575)
田邊 晋  熊本大学, 大学院・自然科学研究科, 教授 (90432997)
加藤 満生  琉球大学, 教育学部, 教授 (50045043)
横山 利章  千葉工業大学, 工学部, 教授 (30210636)
下村 俊  慶應義塾大学, 理工学部, 教授 (00154328)
貞広 泰造  熊本県立大学, 総合管理学部, 助教授 (00280454)
Co-Investigator(Renkei-kenkyūsha) KIMURA Hironobu  熊本大学, 大学院・自然科学研究科, 教授 (40161575)
TANABE Susumu  熊本大学, 大学院・自然科学研究科, 教授 (90432997)
SADAHIRO Taizo  熊本県立大学, 総合管理学部, 准教授 (00280454)
SHIMOMURA Shun  慶應義塾大学, 理工学部, 教授 (00154328)
YOKOYAMA Toshiaki  千葉工業大学, 工学部, 教授 (30210636)
KATO Mitsuo  琉球大学, 教育学部, 教授 (50045043)
Project Period (FY) 2005 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥12,980,000 (Direct Cost: ¥11,300,000、Indirect Cost: ¥1,680,000)
Fiscal Year 2008: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2007: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2006: ¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2005: ¥3,300,000 (Direct Cost: ¥3,300,000)
Keywords超幾何関数 / 漸近展開 / ねじれホモロジー / rigid局所系 / モノドロミー / アクセサリー / パラメーター / middle convolution / 完全積分可能系 / アクセサリー・パラメーター / rigid局所糸 / 微分方程式の変形 / holonomic system / accessory parameter
Research Abstract

積分で表示される解をもつような線形微分方程式は,線形微分方程式の中でも特別な良いクラスをなしている. そのクラスの方程式の研究は,積分表示における積分領域の研究に帰着され,関数としての解析的性質と積分領域の幾何学的性質の対応を記述するのが基本的な問題となる. rigidと呼ばれるさらに良い部分クラスの方程式に対して,その対応が記述された. また方程式をなるべく多くの変数の方程式系に拡張すること(延長)により,良いクラスに属する方程式の判定法の新しい可能性を見出した.

Report

(5 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (97 results)

All 2009 2008 2007 2006 2005 Other

All Journal Article (36 results) (of which Peer Reviewed: 26 results) Presentation (59 results) Book (2 results)

  • [Journal Article] Algebraic transformations of 3_F_22008

    • Author(s)
      M. Kato,
    • Journal Title

      Funkcialaj Ekvacioj, 51

      Pages: 221-243

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Rigidity for Appell's hypergeometric series F_42008

    • Author(s)
      Y. Haraoka and Y. Ueno
    • Journal Title

      Funkcialaj Ekvacioj, 51

      Pages: 149-164

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Studies on deformation of Fuchsian systems from the viewpoint of rigidity2008

    • Author(s)
      Y. Haraoka,
    • Journal Title

      RIMS Kokyuroku Bessatsu B5

      Pages: 51-60

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Algebraic transformations of_3F_22008

    • Author(s)
      M. Kato
    • Journal Title

      Funkcialai Ekvacioj 51

      Pages: 221-243

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers2008

    • Author(s)
      C. Eisner
    • Journal Title

      Ramanujan J. 17

      Pages: 429-446

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Equi-distribution of values for the third and the fifth Painleve transcendents2008

    • Author(s)
      S. Shimomura
    • Journal Title

      Nagoya Math. J. 192

      Pages: 89-109

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear differential equations of second Painleve type with the quasi-Painleve property2008

    • Author(s)
      S. Shimomura
    • Journal Title

      Tohoku Math. J. 60

      Pages: 581-595

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Studies on deformation of Fuchsian systems from the viewpoint of rigidity2008

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      RIMS Kokyuroku Bessatsu B5

      Pages: 51-60

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rigidity for Appell's hypergeometric series F_42008

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      Funkcialaj Ekvacioj (to appear)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A class of differential equations of PI-type with the quasi- Painleve property, Ann. Math2007

    • Author(s)
      S. Shimomura,
    • Journal Title

      Pura Appl., 186

      Pages: 267-280

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Logarithmic vector fields and multiplication table, Proc2007

    • Author(s)
      S. Tanabe,
    • Journal Title

      of the Trieste Singularity Summer School and Workshop

      Pages: 749-778

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] On Horn-Kapranov uniformisation of the discriminantal loci, Adv. Stud2007

    • Author(s)
      S. Tanabe.
    • Journal Title

      in Pure Math., 46

      Pages: 223-249

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Middle convolution and deformation for Fuchsian systems2007

    • Author(s)
      Y. Haraoka and G. Filipuk
    • Journal Title

      J. London Math. Soc 76

      Pages: 438-450

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A class of differential equations of PI-type with the quasi-Painleve property2007

    • Author(s)
      Shun Shimomura
    • Journal Title

      Ann.Mat.Pura Appl. 186

      Pages: 267-280

    • Related Report
      2007 Annual Research Report 2006 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic solutions of a degenerate Garnier system of the first Painleve type2007

    • Author(s)
      Shun Shimomura
    • Journal Title

      RIMS Kokyuroku Bessatsu B2

      Pages: 227-237

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Algebraic relations for reciprocal sums of Fibonacci numbers2007

    • Author(s)
      Carsten Elsner
    • Journal Title

      Acta Arith. 130

      Pages: 37-60

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On Horn-Kapranov uniformisation of the discriminantal loci2007

    • Author(s)
      Susumu Tanabe
    • Journal Title

      Advanced Studies in Pure Mathematics 46

      Pages: 223-249

    • Related Report
      2007 Annual Research Report 2006 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Logarithmic vector fields and multiplication table2007

    • Author(s)
      Susumu Tanabe
    • Journal Title

      Proc.of the Trieste Singularity Summer School and Workshop

      Pages: 749-778

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Logarithmic vector fields and multiplication table2007

    • Author(s)
      Susumu Tanabe
    • Journal Title

      Singularities in Geometry and Topology, Proceedings of the Trieste Singularity Summer School and Workshop

      Pages: 749-778

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On perturbation of roots of homogeneous algebraic systems2006

    • Author(s)
      S. Tanabe,
    • Journal Title

      Mathematics of Computation, 75

      Pages: 1383-1402

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A family of solutions of a higher-order PVI equation near a regular singularity2006

    • Author(s)
      S. Shimomura,
    • Journal Title

      J. Phys. A : Math. Gen., 39

      Pages: 12153-12165

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Multiple points of tilings associated with Pisot numeration systems, Theoret2006

    • Author(s)
      T. Sadahiro,
    • Journal Title

      Comput. Sci 359

      Pages: 133-147

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Construction of rigid local systems and integral representations of their sections2006

    • Author(s)
      Y. Haraoka and T. Yokoyama
    • Journal Title

      Math. Nachr 279

      Pages: 255-271

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Construction of systems of differential equations of Okubo normal form with rigid monodromy2006

    • Author(s)
      T. Yokoyama,
    • Journal Title

      Math. Nachr 279

      Pages: 327-348

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] On perturbation of roots of homogeneous algebraic systems2006

    • Author(s)
      Susumu Tanabe
    • Journal Title

      Mathematics of computation 75・255

      Pages: 1383-1402

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A family of solutions of a higher-ordre PVI equation near a regular singularity2006

    • Author(s)
      Shun Shimomura
    • Journal Title

      J.Phys.A : Math.Gen. 39

      Pages: 12153-12165

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Construction of rigid local systems and integral representations of their sections2006

    • Author(s)
      Toshishige Haraoka
    • Journal Title

      Mathematische Nachrichten 279・3

      Pages: 255-271

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Construction of systems of differential equations of Okubo normal form with rigid monodromy2006

    • Author(s)
      Toshiaki Yokoyama
    • Journal Title

      Mathematische Nachrichten 279・3

      Pages: 327-348

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Meromorphic solutions of Riccati differential equations with doubly periodic coefficients2005

    • Author(s)
      Shun Shimomura
    • Journal Title

      J.Math.Anal.Appl. 304

      Pages: 644-651

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On certain nonlinear differential equations2005

    • Author(s)
      Shun Shimomura
    • Journal Title

      Proc.of the 12th International Conference on Finite or Infinite Dimentional Complex Analysis and Applications

      Pages: 299-304

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Beta expansions with negative bases

    • Author(s)
      S. Ito and T, Sadahiro
    • Journal Title

      Integers (掲載決定)

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Beta expansions with negative bases

    • Author(s)
      S. Ito
    • Journal Title

      INTEGERS 掲載決定

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Algebraic transformations of 3_F_2

    • Author(s)
      Mitsuo Kato
    • Journal Title

      Funkcialaj Ekvacioj (to appear)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Middle convolution and deformation for Fuchsian systems

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      Journal of the London Mathematical Society (to appear)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A class of differential equations of PI-type with the quasi-Painleve property

    • Author(s)
      Shun Shimomura
    • Journal Title

      Ann.Mat.Pura Appl. (to appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Multiple points of tilings associated with Pisot numeration systems

    • Author(s)
      Taizo Sadahiro
    • Journal Title

      Theoretical Computer Science (to appear)

    • Related Report
      2005 Annual Research Report
  • [Presentation] アクセサリー・パラメーターの問題-微分方程式の未開の領域を目指 して-2009

    • Author(s)
      原岡喜重
    • Organizer
      2009年度日本数学会年会企画特 別講演
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Final Research Report
  • [Presentation] アクセサリー・パラメーターの問題-微分方程式の未開の領域を目指して-2009

    • Author(s)
      原岡喜重
    • Organizer
      2009年度日本数学会年会企画特別講演
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] 一般超幾何方程式の可約な大域モノドロミーをめぐる諸問題2009

    • Author(s)
      田邊晋
    • Organizer
      研究集会「Workshop on Accessory Parameters at Kumamoto」
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-02-24
    • Related Report
      2008 Annual Research Report
  • [Presentation] 接続問題2009

    • Author(s)
      原岡喜重
    • Organizer
      研究集会「Workshop on Accessory Parameters at Kumamoto」
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-02-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Global monodromy group of an affine complete intersection2009

    • Author(s)
      田邊晋
    • Organizer
      associated to a Calabi-Yau variety, 短期共同研究「微分方程式のモノドロミーをめぐる諸問題」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-02-05
    • Related Report
      2008 Final Research Report
  • [Presentation] Global monodromy group of an affine complete intersection associated to a Calabi-Yau variety2009

    • Author(s)
      田邊晋
    • Organizer
      短期共同研究「微分方程式のモノドロミーをめぐる諸問題」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-02-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] Rigidityの視点によるモノド ロミーの研究2009

    • Author(s)
      原岡喜重
    • Organizer
      短期共同研究「微分方程 式のモノドロミーをめぐる諸問題」
    • Place of Presentation
      京都大学数理解析研 究所
    • Year and Date
      2009-02-04
    • Related Report
      2008 Final Research Report
  • [Presentation] 有限既約複素鏡映群をモノド ロミーに持つ微分方程式系とその変形2009

    • Author(s)
      加藤満生
    • Organizer
      短期共同研究「微分方程式のモノドロミーをめぐる諸問題」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-02-04
    • Related Report
      2008 Final Research Report
  • [Presentation] Rigidityの視点によるモノドロミーの研究2009

    • Author(s)
      原岡喜重
    • Organizer
      短期共同研究「微分方程式のモノドロミーをめぐる諸問題」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-02-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] 有限既約複素鏡映群をモノドロミーに持つ微分方程式系とその変形2009

    • Author(s)
      加藤満生
    • Organizer
      短期共同研究「微分方程式のモノドロミーをめぐる諸問題」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-02-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] Monodromy of isolated hypersurface singularities2009

    • Author(s)
      S. Tanabe,
    • Organizer
      I, II, Mathematics Semina
    • Place of Presentation
      Galatasaray Univ., Istanbul,Turkey
    • Related Report
      2008 Final Research Report
  • [Presentation] Monodromy of isolated hypersurface singularities I, II2009

    • Author(s)
      S. Tanabe
    • Organizer
      Mathematics Seminar
    • Place of Presentation
      Galatasaray Univ., Istanbul, Turkey
    • Related Report
      2008 Annual Research Report
  • [Presentation] Wave front propagetion and the discriminantal loci of a complete intersection singularity2008

    • Author(s)
      田邊晋
    • Organizer
      研究集会「微分方程式と微分幾何学への応用特異点論」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-12-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] アクセサリー・パラメーターの決定問題2008

    • Author(s)
      原岡喜重
    • Organizer
      Encounter with Mathematics第47回「アクセサリー・パラメーターとモノドロミー」
    • Place of Presentation
      中央大学
    • Year and Date
      2008-10-18
    • Related Report
      2008 Final Research Report
  • [Presentation] アクセサリー・パラメーターの決定問題2008

    • Author(s)
      原岡喜重
    • Organizer
      Encounter with Mathematics 第47回「アクセサリー・パラメーターとモノドロミー」
    • Place of Presentation
      中央大学
    • Year and Date
      2008-10-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] RigidなOkubo方程式系の構 成と接続問題2008

    • Author(s)
      横山利章
    • Organizer
      Encounter with Mathematics第47回「アクセサリー・パラメーターとモノドロミー」
    • Place of Presentation
      中央大学
    • Year and Date
      2008-10-17
    • Related Report
      2008 Final Research Report
  • [Presentation] RigidなOkubo方程式系の構成と接続問題2008

    • Author(s)
      横山利章
    • Organizer
      Encounter with Mathematics 第47回「アクセサリー・パラメーターとモノドロミー」
    • Place of Presentation
      中央大学
    • Year and Date
      2008-10-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Monodromy groups for complete intersection related to Calabi-Yau complete intersections in projective spaces2008

    • Author(s)
      S. Tanabe,
    • Organizer
      研究集会「Analysis and Geometry on complex algebraic varieties」
    • Place of Presentation
      Independ- ent Univ. of Moscow, Russia
    • Year and Date
      2008-09-25
    • Related Report
      2008 Final Research Report
  • [Presentation] Monodromy groups for complete intersections related to Calabi-Yau complete intersections in projective spaces2008

    • Author(s)
      S. Tanabe
    • Organizer
      研究集会「Analysis and Geometry on complex algebraic varieties」
    • Place of Presentation
      Independent Univ. of Moscow, Moscow, Russia
    • Year and Date
      2008-09-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] Algebraic prolongation of Fuchsian differential equations2008

    • Author(s)
      原岡喜重
    • Organizer
      研究集会「International Workshop on Global Behaviors of Differential Equations」
    • Place of Presentation
      広島大学
    • Year and Date
      2008-09-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Prolongation of Fuchsian differential equations and computability of the monodromy2008

    • Author(s)
      Y. Haraoka,
    • Organizer
      研究 集会「Formal and Analytic Solutions of Differential Equations」
    • Place of Presentation
      Mathematical Resarch and Conference Center, Bedlewo, Poland
    • Year and Date
      2008-08-13
    • Related Report
      2008 Final Research Report
  • [Presentation] Prolongation of Fuchsian differential equations and computability of the monodromy2008

    • Author(s)
      Yoshishige Haraoka
    • Organizer
      研究集会「Formal and Analytic Solutions of Differential Equations」
    • Place of Presentation
      Mathematical Research and Conference Center Bedlewo, Poland
    • Year and Date
      2008-08-13
    • Related Report
      2008 Annual Research Report
  • [Presentation] 大久保方程式系の拡大・縮小 と接続問題2008

    • Author(s)
      横山利章
    • Organizer
      研究集会「Workshop on Accessory Patameters」
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2008-08-06
    • Related Report
      2008 Final Research Report
  • [Presentation] 大久保方程式系の拡大・縮小と接続問題2008

    • Author(s)
      横山利章
    • Organizer
      研究集会「Workshop on Accessory Parameters」
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2008-08-06
    • Related Report
      2008 Annual Research Report
  • [Presentation] Appell's F_4, middle convolution and Painleve VI2008

    • Author(s)
      原岡喜重
    • Organizer
      研究集 会「From Painleve to Okamoto」
    • Place of Presentation
      東京大学
    • Year and Date
      2008-06-12
    • Related Report
      2008 Final Research Report
  • [Presentation] Painleve transcendents in a sectorial domain2008

    • Author(s)
      下村俊
    • Organizer
      研究集会「From Painleve to Okamoto」
    • Place of Presentation
      東京大学
    • Year and Date
      2008-06-12
    • Related Report
      2008 Final Research Report
  • [Presentation] Appell's F_4, middle convolution and Painleve VI2008

    • Author(s)
      原岡喜重
    • Organizer
      研究集会「From Painleve to Okamoto」
    • Place of Presentation
      東京大学
    • Year and Date
      2008-06-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] Painleve transcendents in a sectorial domain2008

    • Author(s)
      下村俊
    • Organizer
      研究集会「From Painleve to okamoto」
    • Place of Presentation
      東京大学
    • Year and Date
      2008-06-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] 角領域における値分布論とその 応用2008

    • Author(s)
      下村俊
    • Organizer
      2008年度日本数学会年会特別講演
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Related Report
      2008 Final Research Report
  • [Presentation] 角領域における値分布論とその応用2008

    • Author(s)
      下村 俊
    • Organizer
      日本数学会年会 (函数論分科会特別講演)
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Topological theory for Selberg type integrals coming from rigid local systems2008

    • Author(s)
      原岡喜重
    • Organizer
      研究集会「超幾 何方程式研究会2008」
    • Place of Presentation
      神戸大学
    • Year and Date
      2008-01-08
    • Related Report
      2008 Final Research Report
  • [Presentation] Topological theory for Selberg type integrals coming from rigid local systerms2008

    • Author(s)
      原岡 喜重
    • Organizer
      研究集会 「超幾何方程式研究会2008」
    • Place of Presentation
      神戸大学
    • Year and Date
      2008-01-08
    • Related Report
      2007 Annual Research Report
  • [Presentation] Katzアルゴリズムと変形理論 I, II2008

    • Author(s)
      原岡喜重
    • Organizer
      研究集会「Workshop on Accessory Patameters」
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Related Report
      2008 Final Research Report
  • [Presentation] Katzアルゴリズムと変形理論-I, II2008

    • Author(s)
      原岡喜重
    • Organizer
      研究集会「Workshop on Accessory Parameters」
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Related Report
      2008 Annual Research Report
  • [Presentation] Monodromy of period integrals associated to Calabi-Yau varieties2007

    • Author(s)
      田邊晋
    • Organizer
      研究集会「Geometry and Analysis on complex algebraic varieties」
    • Place of Presentation
      東京農工大学
    • Year and Date
      2007-11-22
    • Related Report
      2008 Final Research Report
  • [Presentation] Monodromy of period integrals associated to Calabi-Yau varieties2007

    • Author(s)
      田邊 晋
    • Organizer
      研究集会 「Geomery and Analysis on complex algebraic varieties」
    • Place of Presentation
      東京農工大学
    • Year and Date
      2007-11-22
    • Related Report
      2007 Annual Research Report
  • [Presentation] Connectedness of domino tilings with impurities2007

    • Author(s)
      貞広泰造
    • Organizer
      研究集会「準 周期構造のスペクトル解析と関連する 話題」
    • Place of Presentation
      京都大学数 理解析研究所
    • Year and Date
      2007-11-19
    • Related Report
      2008 Final Research Report
  • [Presentation] Connectedness of domino tilings with impurities2007

    • Author(s)
      貞廣 泰造
    • Organizer
      研究集会 「準周期構造のスペクトル解析と関連する話題」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-19
    • Related Report
      2007 Annual Research Report
  • [Presentation] On computability of the monodromy for regular holonomic systems2007

    • Author(s)
      原岡喜重
    • Organizer
      広島複素解析セミナー
    • Place of Presentation
      広島大学
    • Year and Date
      2007-11-14
    • Related Report
      2008 Final Research Report
  • [Presentation] フィボナッチゼータ関数の値について2007

    • Author(s)
      下村 俊
    • Organizer
      短期共同研究 「解析的整数論とその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-10-19
    • Related Report
      2007 Annual Research Report
  • [Presentation] 微分方程式の延長,モノドロ ミーの計算可能性および変形理論2007

    • Author(s)
      原岡喜重
    • Organizer
      研究集会「アクセサリー・パラメーター研究会」
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-10
    • Related Report
      2008 Final Research Report
  • [Presentation] Schlesinger系の合流とtwister的見方2007

    • Author(s)
      木村弘信
    • Organizer
      研究集会「アクセサリー・パラメーター研究会」
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-10
    • Related Report
      2008 Final Research Report
  • [Presentation] 有限既約複素鏡映群をモノドロミーに持つ微分方程式2007

    • Author(s)
      加藤満生
    • Organizer
      研究集会「アクセサリー・パラメーター研究会」
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-10
    • Related Report
      2008 Final Research Report
  • [Presentation] Invariants of the monodromy group associated to the period integrals for complete intersections2007

    • Author(s)
      田邊晋
    • Organizer
      研究集会「アクセサリー・パラメーター 研究会」
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-10
    • Related Report
      2008 Final Research Report
  • [Presentation] 有限既約複素鏡映群をモノドロミー群にもつ微分方程式2007

    • Author(s)
      加藤 満生
    • Organizer
      研究集会 「アクセサリー・パラメーター研究会」
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] Schlesinger系の合流とtwister的見方2007

    • Author(s)
      木村 弘信
    • Organizer
      研究集会 「アクセサリー・パラメーター研究会」
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] Invariants of the monodromy group associated to the period integrals for complete intersections2007

    • Author(s)
      田邊 晋
    • Organizer
      研究集会 「アクセサリー・パラメーター研究会
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] 微分方程式の延長, モノドロミーの計算可能性および変形理論2007

    • Author(s)
      原岡 喜重
    • Organizer
      研究集会 「アクセサリー・パラメーター研究会」
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-08
    • Related Report
      2007 Annual Research Report
  • [Presentation] Rigidity for regular holonomic systems2007

    • Author(s)
      原岡喜重
    • Organizer
      数学系月例談話会
    • Place of Presentation
      筑波大学
    • Year and Date
      2007-09-06
    • Related Report
      2008 Final Research Report
  • [Presentation] Transposition mirror symmetry construction and period integrals2007

    • Author(s)
      田邊晋
    • Organizer
      研究集会「Analysis and Geometry on complex varieties」
    • Place of Presentation
      Krasnoyarsk, Russia
    • Year and Date
      2007-08-18
    • Related Report
      2008 Final Research Report
  • [Presentation] Transposition mirror symmetry construction and period integrals2007

    • Author(s)
      田邊 晋
    • Organizer
      研究集会 「Analysis and Geomery on complex varieties」
    • Place of Presentation
      Krasnoyarsk, Russia
    • Year and Date
      2007-08-18
    • Related Report
      2007 Annual Research Report
  • [Presentation] Studies on regular holonomic systems from the viewpoint of rigidity2007

    • Author(s)
      Y. Haraoka
    • Organizer
      研究集会「Representation Theory, Systems of Differential Equations and their Related Topics」
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-07-03
    • Related Report
      2008 Final Research Report
  • [Presentation] The general Schlesinger system and Ward correspondence2007

    • Author(s)
      H. Kimura
    • Organizer
      研 究集会「Representation Theory,Systems of Differential Equations and their Related Topics」
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-07-03
    • Related Report
      2008 Final Research Report
  • [Presentation] Studies on regular hoionomic systems from the viewpoint of rigidity2007

    • Author(s)
      Yoshishige Haraoka
    • Organizer
      研究集会 「Representation Theory, Systems of Differential Equations and their Related Topics」
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-07-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] The general Schlesinger system and Ward correspondence2007

    • Author(s)
      Hironobu Kimura
    • Organizer
      研究集会 「Representation Theory, Systems of Differential Equations and their Related Topics」
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-07-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] Rigid local systemとその切 断の積分表示,および接続係数2007

    • Author(s)
      原岡喜重
    • Organizer
      Lie群 論・表現論セミナー
    • Place of Presentation
      東京大学
    • Year and Date
      2007-06-19
    • Related Report
      2008 Final Research Report
  • [Presentation] Studies on deformation of Fuchsian systems from the viewpoint of rigidity2006

    • Author(s)
      原岡喜重
    • Organizer
      研究集会「微分方程式系 の代数解析と完全WKB解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-12-12
    • Related Report
      2008 Final Research Report
  • [Presentation] Rigidity for regular holonomic D-modules2006

    • Author(s)
      原岡喜重
    • Organizer
      研究集会「アク セサリー・パラメーター研究会」
    • Place of Presentation
      熊本大学
    • Year and Date
      2006-06-20
    • Related Report
      2008 Final Research Report
  • [Presentation] Middle convolution functor and deformation equations2005

    • Author(s)
      原岡喜重
    • Organizer
      研究集会 「Kobe Workshop on Ingetrable systems and Painleve systems」
    • Place of Presentation
      神戸大学
    • Year and Date
      2005-11-23
    • Related Report
      2008 Final Research Report
  • [Book] 超幾何関数入 門(特殊関数への統一的視点からのアプローチ)2007

    • Author(s)
      木村弘信
    • Total Pages
      185
    • Publisher
      サイエンス社
    • Related Report
      2008 Final Research Report
  • [Book] 超幾何関数入門 (特殊関数への統一的視点からのアプローチ)2007

    • Author(s)
      木村 弘信
    • Total Pages
      185
    • Publisher
      サイエンス社
    • Related Report
      2007 Annual Research Report

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Published: 2005-04-01   Modified: 2016-04-21  

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