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Dynamics on algebraic varieties and Painleve equations

Research Project

Project/Area Number 20340036
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionHokkaido University (2010-2012)
Kyushu University (2008-2009)

Principal Investigator

IWASAKI Katsunori  北海道大学, 大学院・理学研究院, 教授 (00176538)

Co-Investigator(Kenkyū-buntansha) UEHARA Takato  新潟大学, 自然科学系, 助教 (40613261)
梶原 健司  九州大学, 大学院・数理学研究院, 教授 (40268115)
神本 丈  九州大学, 大学院・数理学研究院, 准教授 (90301374)
辻井 正人  九州大学, 大学院・数理学研究院, 教授 (20251598)
石井 豊  九州大学, 大学院・数理学研究院, 准教授 (20304727)
津田 照久  九州大学, 大学院・数理学研究院, 助教 (00452730)
Co-Investigator(Renkei-kenkyūsha) KAJIWARA Kenji  九州大学, MI研究所, 教授 (40268115)
KAMIMOTO Joe  九州大学, 大学院・数理学研究院, 准教授 (90301374)
TSUJII Masato  九州大学, 大学院・数理学研究院, 教授 (20251598)
ISHII Yutaka  九州大学, 大学院・数理学研究院, 准教授 (20304727)
TSUDA Teruhisa  一橋大学, 大学院・経済学研究科, 准教授 (00452730)
Project Period (FY) 2008 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥12,870,000 (Direct Cost: ¥9,900,000、Indirect Cost: ¥2,970,000)
Fiscal Year 2012: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2011: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2010: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2009: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2008: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywordsパンルヴェ方程式 / 力学系 / リーマン / ヒルベルト対応 / 指標多様体 / モデュライ空間 / エルゴード理論 / カオス / 周期点 / パンルヴェ系 / 有理曲面 / エントロピー / 超幾何級数 / ガンマ乗積公式 / 多面体調和関数 / 群調和関数 / 自己同型 / パンルヴェ性 / 正則自己同型 / 軌道データ / リーマン・ヒルベルト対応 / モデュライ理論 / 周期点・周期曲線 / マルコフ・パンルヴェ超越関数 / 非線型微分方程式 / ディオファンタス問 / マルコフ曲面 / 超幾何関数 / スメールの馬蹄 / 特異点解消
Research Abstract

We developed a dynamical study of the sixth Painleve equation on the algebro-geometrical and moduli theoretical foundations of the Painleve system. When the parameter lies on the walls of an affine Weyl group, we established the chaotic nature of the system and proved the exponential growth of the number of isolated periodic solutions. To obtain these results, we developed a general theory of periodic points for area-preserving birational maps on a projective surface. Constructing rational surface automorphisms of positive entropy has also been discussed.

Report

(7 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (103 results)

All 2013 2012 2011 2010 2009 2008 Other

All Journal Article (29 results) (of which Peer Reviewed: 17 results) Presentation (73 results) (of which Invited: 2 results) Remarks (1 results)

  • [Journal Article] Uehara, Isolated periodic solutions to Painleve VI equation2013

    • Author(s)
      K. Iwasaki and T.
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 37 Pages: 69-79

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On algebraic solutions toPainleve VI2013

    • Author(s)
      K. Iwasaki
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 37 Pages: 49-67

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On algebraic solutions to Painleve VI2013

    • Author(s)
      Katsunori Iwasaki
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 37

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Isolated periodic solutions to Painleve VI equation2013

    • Author(s)
      Katsunori Iwasaki, Takato Uehara (K. Iwasaki)
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 37

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cubic harmonics and Bernoulli numbers, Journal of Combinatorial Theory2012

    • Author(s)
      K. Iwasaki
    • Journal Title

      Series A

      Volume: 119no. 6 Pages: 1216-1234

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Cubic harmonics and Bernoulli numbers2012

    • Author(s)
      Katsunori Iwasaki
    • Journal Title

      Journal of Combinatorial Theory, Series A

      Volume: 119 Issue: 6 Pages: 1216-1234

    • DOI

      10.1016/j.jcta.2012.02.010

    • NAID

      120004405537

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 特殊関数の問題 -- パンルヴェ性をめぐって, 複素幾何学の諸問題2011

    • Author(s)
      K. Iwasaki
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1731 Pages: 1-13

    • Related Report
      2012 Final Research Report
  • [Journal Article] Dynamics on Rational Surfaces2011

    • Author(s)
      T. Uehara
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1765 Pages: 137-153

    • Related Report
      2012 Final Research Report
  • [Journal Article] Dynamics on rational surfaces2011

    • Author(s)
      Takato Uehara
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1,765 Pages: 137-153

    • Related Report
      2011 Annual Research Report
  • [Journal Article] 特殊関数の問題-パンルヴェ性をめぐって2011

    • Author(s)
      岩崎克則
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1731 Pages: 1-13

    • Related Report
      2010 Annual Research Report
  • [Journal Article] パンルヴェ方程式の代数解析と力学系2010

    • Author(s)
      岩崎克則
    • Journal Title

      2010年度日本数学会年会総合講演・企画特別講演予稿集

      Pages: 17-32

    • Related Report
      2012 Final Research Report
  • [Journal Article] On the Markoff-Painleve transcendent2010

    • Author(s)
      K. Iwasaki
    • Journal Title

      複素力学系とその関連分野の総合的研究,京都大学数理解析研究所講究録

      Volume: 1699 Pages: 160-167

    • Related Report
      2012 Final Research Report
  • [Journal Article] Uehara, Periodic points for area-preserving birational maps of surfaces2010

    • Author(s)
      K. Iwasaki and T.
    • Journal Title

      Mathematische Zeitschrift

      Volume: 266no.2 Pages: 289-318

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Periodic points for area-preserving birational maps of surfaces2010

    • Author(s)
      Katsunori Iwasaki, Takato Uehara
    • Journal Title

      Math.Z. 266

      Pages: 289-318

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] On the Markov-Painleve transcendent2010

    • Author(s)
      Katsunori Iwasaki
    • Journal Title

      RIMS Kokyuroku 1699

      Pages: 160-167

    • Related Report
      2010 Self-evaluation Report
  • [Journal Article] Periodic points for area-preserving birational maps of surfaces2010

    • Author(s)
      K.Iwasaki, T.Uehara
    • Journal Title

      Mathematische Zeitschrift

      Volume: 266 Pages: 289-318

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Markoff-Painleve transcendent2010

    • Author(s)
      Katsunori Iwasaki
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1699 Pages: 160-167

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Monodromy of Painleve VI equation around classical special solutions2009

    • Author(s)
      K. Iwasaki
    • Journal Title

      微分方程式のモノドロミー をめぐる諸問題,京都大学数理解析研究所講究録

      Volume: 1662 Pages: 136-147

    • Related Report
      2012 Final Research Report
  • [Journal Article] Monodromy of Painleve VI equation around classical special solutions2009

    • Author(s)
      Katsunori Iwasaki
    • Journal Title

      RIMS Kokyuroku 1662

      Pages: 136-147

    • Related Report
      2010 Self-evaluation Report
  • [Journal Article] Periodic points for area-preserving birational maps of surfaces2009

    • Author(s)
      K.Iwasaki, T.Uehara
    • Journal Title

      Math. Z. 電子版DOI : 10. 1007/s00209-009-0570-3 (冊子版印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Monodromy of Painleve VI equation around classical special solutions,2009

    • Author(s)
      Katsunori Iwasaki
    • Journal Title

      京都大学数理解析研究所講究録 1662

      Pages: 136-147

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Isolated periodic solutions to Painleve VI2009

    • Author(s)
      K. Iwasaki, T. Uehara
    • Journal Title

      RIMS Kokyuroku Bessatsu (掲載決定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite branch solutions to Painleve VI around a fixed singular point}2008

    • Author(s)
      K. Iwasaki
    • Journal Title

      Advances in Mathematics

      Volume: 217no. 5 Pages: 1889-1934

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Finite branch solutions to Painleve VI aound a fixed singular point2008

    • Author(s)
      Katsunori Iwasaki
    • Journal Title

      Adv.Math. 217

      Pages: 1889-1934

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Hyperbolic polynomial diffeomorphisms of C2.I.A non-planar map2008

    • Author(s)
      Yutaka Ishii
    • Journal Title

      Adv.Math. 218

      Pages: 417-464

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Finite branch solutions to Painleve VI around a fixed singular point2008

    • Author(s)
      Katsunori Iwasaki
    • Journal Title

      Advances in Mathematics 217

      Pages: 1889-1934

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bilinearization and Casorati determinant solution to thenon-autonomous discrete KdV equation2008

    • Author(s)
      Kenji Kajiwara, et al.
    • Journal Title

      Journal of the Physical Society of Japan 77

      Pages: 54004-54004

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hyperbolic polynomial diffeomorphisms of C^2. I. A non-planar map2008

    • Author(s)
      Yutaka Ishii
    • Journal Title

      Advances in Mathematics 218

      Pages: 417-464

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Bergman fuction for semipositive holomorphic line bundles2008

    • Author(s)
      K. Cho, J. Kamimoto, T. Nose
    • Journal Title

      京都大学数理解析研究所講究録 1613

      Pages: 1-5

    • Related Report
      2008 Annual Research Report
  • [Presentation] 超幾何和とサイン・サイン2013

    • Author(s)
      岩崎克則
    • Organizer
      超幾何方程式研究会2013
    • Place of Presentation
      神戸大学瀧川記念学術交流会館,神戸
    • Year and Date
      2013-01-05
    • Related Report
      2012 Final Research Report
  • [Presentation] 超幾何和とサイン・サイン2013

    • Author(s)
      岩崎克則
    • Organizer
      超幾何方程式研究会 2013
    • Place of Presentation
      神戸大学瀧川記念学術交流会館, 神戸
    • Related Report
      2012 Annual Research Report
  • [Presentation] Rational surface automorphisms preserving cuspidal anticanonical curves2012

    • Author(s)
      T. Uehara
    • Organizer
      Automorohisms of Algebraic Varieties-Dynamics and Arithmetic
    • Place of Presentation
      白浜
    • Year and Date
      2012-12-20
    • Related Report
      2012 Final Research Report
  • [Presentation] Dynamics of rational surface automorphisms2012

    • Author(s)
      上原崇人
    • Organizer
      代数幾何セミナー
    • Place of Presentation
      埼玉大学, さいたま
    • Year and Date
      2012-12-19
    • Related Report
      2012 Final Research Report
  • [Presentation] Siegel disks on rational surfaces2012

    • Author(s)
      T. Uehara
    • Organizer
      New Developments in Complex Dynamical Systems
    • Place of Presentation
      京都大学数理解析研究所, 京都
    • Year and Date
      2012-12-13
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] The entropy values of automorphisms on rational surfaces2012

    • Author(s)
      T. Uehara
    • Organizer
      Various Aspects on the Painleve Equations
    • Place of Presentation
      京都大学数理解析研究所, 京都
    • Year and Date
      2012-11-30
    • Related Report
      2012 Final Research Report
  • [Presentation] 超幾何和の超幾何性2012

    • Author(s)
      岩崎克則
    • Organizer
      琉球超幾何セミナー
    • Place of Presentation
      琉球大学理学部,沖縄
    • Year and Date
      2012-11-21
    • Related Report
      2012 Final Research Report
  • [Presentation] Construction of automorphisms on rational surfaces2012

    • Author(s)
      上原崇人
    • Organizer
      第10回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学, 大阪
    • Year and Date
      2012-09-06
    • Related Report
      2012 Final Research Report
  • [Presentation] On automorphisms of rational surfaces2012

    • Author(s)
      T.Uehara
    • Organizer
      Korea-Japan Joint Conference in Algebraic Geometry
    • Place of Presentation
      Ritz Plaza Hotel, Gunsan
    • Year and Date
      2012-08-20
    • Related Report
      2012 Final Research Report
  • [Presentation] 多面体と関数方程 式2012

    • Author(s)
      岩崎克則,蓮井美希
    • Organizer
      函数方程式サマーセミナー 2012
    • Place of Presentation
      KKR蔵王白銀荘,山形
    • Year and Date
      2012-08-07
    • Related Report
      2012 Final Research Report
  • [Presentation] Constructing automorphisms of rational surfaces2012

    • Author(s)
      T. Uehara
    • Organizer
      Interactions between continuous and discrete holomorphic dynamical systems
    • Place of Presentation
      Banff International Research Station, Banff, Canada
    • Year and Date
      2012-07-10
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] 有理曲面上の自己同型写像2012

    • Author(s)
      上原崇人
    • Organizer
      金沢大学第10回ハミルトン力学系セミナー
    • Place of Presentation
      金沢大学,金沢
    • Year and Date
      2012-06-29
    • Related Report
      2012 Final Research Report
  • [Presentation] Entropy values of rational surface automorphisms2012

    • Author(s)
      上原崇人
    • Organizer
      東北大学大学院理学研究科数学専攻談話会
    • Place of Presentation
      東北大学, 仙台
    • Year and Date
      2012-06-18
    • Related Report
      2012 Final Research Report
  • [Presentation] 有理曲面上の自己同型写像のエントロピーについて2012

    • Author(s)
      上原崇人
    • Organizer
      第9回数理情報セミナー
    • Place of Presentation
      新潟大学,新潟
    • Year and Date
      2012-04-20
    • Related Report
      2012 Final Research Report
  • [Presentation] Rational surface の自己同型 写像について2012

    • Author(s)
      上原崇人
    • Organizer
      九州代数幾何若手勉強会
    • Place of Presentation
      九州大学, 福岡
    • Year and Date
      2012-03-14
    • Related Report
      2012 Final Research Report
  • [Presentation] Rational surfaceの自己同型写像について2012

    • Author(s)
      上原崇人
    • Organizer
      九州代数幾何学若手勉強会
    • Place of Presentation
      九州大学(福岡市)
    • Year and Date
      2012-03-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] On rational surface automorphisms2012

    • Author(s)
      上原崇人
    • Organizer
      複素力学系の総合的研究
    • Place of Presentation
      京都大学数理解析研究所, 京都
    • Year and Date
      2012-01-25
    • Related Report
      2012 Final Research Report
  • [Presentation] On rational surface automorphisms2012

    • Author(s)
      上原崇人
    • Organizer
      複素力学系の総合的研究
    • Place of Presentation
      京都大学数理解析研究所(京都市)(招待講演)
    • Year and Date
      2012-01-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] 立方体とベルヌーイ数2012

    • Author(s)
      岩崎克則
    • Organizer
      超幾何方程式研究会2012
    • Place of Presentation
      神戸大学瀧川記念学術交流会館,神戸
    • Year and Date
      2012-01-07
    • Related Report
      2012 Final Research Report
  • [Presentation] 立方体とベルヌーイ数2012

    • Author(s)
      岩崎克則
    • Organizer
      超幾何方程式研究会2012
    • Place of Presentation
      神戸大学(神戸市)
    • Year and Date
      2012-01-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] 多面体と関数方程式2012

    • Author(s)
      岩崎克則,蓮井美希 (岩崎克則)
    • Organizer
      函数方程式サマーセミナー 2012
    • Place of Presentation
      KKR 蔵王白銀荘,山形
    • Related Report
      2012 Annual Research Report
  • [Presentation] 超幾何和の超幾何性2012

    • Author(s)
      岩崎克則
    • Organizer
      琉球超幾何セミナー
    • Place of Presentation
      琉球大学理学部,沖縄
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] On automorphisms of rational surfaces2012

    • Author(s)
      上原崇人
    • Organizer
      Korea-Japan Joint Conference in Algebraic Geometry
    • Place of Presentation
      Ritz-Plaza Hotel, Gunsan, Korea
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Rational surface automorphisms preserving cuspidal anticanonical curves2011

    • Author(s)
      上原崇人
    • Organizer
      Automo r phisms of algebraic varieties--dynamics and arithmetic
    • Place of Presentation
      ラフォーレ南紀白浜(白浜町)(招待講演)
    • Year and Date
      2011-12-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] 有理曲面上の自己同型写像について2011

    • Author(s)
      上原崇人
    • Organizer
      幾何コロキウム
    • Place of Presentation
      北海道大学,札幌
    • Year and Date
      2011-11-09
    • Related Report
      2012 Final Research Report
  • [Presentation] 有理曲面上の自己同型写像について2011

    • Author(s)
      上原崇人
    • Organizer
      北海道大学幾何コロキウム
    • Place of Presentation
      北海道大学(札幌市)(招待講演)
    • Year and Date
      2011-11-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] 尖点をもつ反標準曲線を保つ自己同型写像について2011

    • Author(s)
      上原崇人
    • Organizer
      幾何セミナー
    • Place of Presentation
      東北大学,仙台
    • Year and Date
      2011-10-04
    • Related Report
      2012 Final Research Report
  • [Presentation] 尖点をもつ反標準曲線を保つ自己同型写像について2011

    • Author(s)
      上原崇人
    • Organizer
      東北大学幾何学セミナー
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2011-10-04
    • Related Report
      2011 Annual Research Report
  • [Presentation] パンルヴェ性をめぐって2011

    • Author(s)
      岩崎克則
    • Organizer
      アクセサリー・パラメーター研究会
    • Place of Presentation
      熊本大学理学部
    • Year and Date
      2011-03-17
    • Related Report
      2012 Final Research Report
  • [Presentation] パンルヴェ性をめぐって2011

    • Author(s)
      岩崎克則
    • Organizer
      アクセサリー・パラメーター研究会
    • Place of Presentation
      熊本大学理学部 招待講演
    • Year and Date
      2011-03-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] 複素曲面上の正則力学系について2010

    • Author(s)
      岩崎克則
    • Organizer
      複素解析的ベクトル場・葉層構造とその周辺
    • Place of Presentation
      龍谷大学セミナーハウスともいき荘,京都
    • Year and Date
      2010-11-28
    • Related Report
      2012 Final Research Report 2010 Self-evaluation Report
  • [Presentation] 複素曲面上の正則力学系について2010

    • Author(s)
      岩崎克則
    • Organizer
      複素解析的ベクトル場・葉層構造とその周辺
    • Place of Presentation
      龍谷大学セミナーハウス 招待講演
    • Year and Date
      2010-11-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] パンルヴェ方程式の力学系2010

    • Author(s)
      岩崎克則
    • Organizer
      Dynamics of Complex Systemsセミナー
    • Place of Presentation
      北海道大学大学院理学研究院,札幌
    • Year and Date
      2010-11-17
    • Related Report
      2012 Final Research Report
  • [Presentation] パンルヴェ方程式の力学系2010

    • Author(s)
      岩崎克則
    • Organizer
      Dynamics of Complex Systemsセミナー
    • Place of Presentation
      北海道大学理学研究院 招待講演
    • Year and Date
      2010-11-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] 複素曲面上の正則力学系につ いて2010

    • Author(s)
      岩崎克則
    • Organizer
      東北大学幾何セミナー
    • Place of Presentation
      東北大学大学院理学研究科,仙台
    • Year and Date
      2010-10-19
    • Related Report
      2012 Final Research Report
  • [Presentation] 複素曲面上の正則力学系について2010

    • Author(s)
      岩崎克則
    • Organizer
      東北大学幾何セミナー
    • Place of Presentation
      東北大学大学院理学研究科 招待講演
    • Year and Date
      2010-10-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] Dynamics of the sixth Painleve equation2010

    • Author(s)
      K. Iwasaki
    • Organizer
      4th Workshop on Hamiltonian systems and related topics
    • Place of Presentation
      Niigata University Satellite Campus``Tokimeito",Niigata
    • Year and Date
      2010-10-15
    • Related Report
      2012 Final Research Report
  • [Presentation] Algebraic analysis of the sixth Painleve equation2010

    • Author(s)
      K. Iwasaki
    • Organizer
      4th Workshopon Hamiltonian systems and related topics
    • Place of Presentation
      Niigata University Satellite Campus ``Tokimeito",Niigata
    • Year and Date
      2010-10-14
    • Related Report
      2012 Final Research Report
  • [Presentation] 特殊関数の諸問題2010

    • Author(s)
      岩崎克則
    • Organizer
      複素幾何学の諸問題,RIMS共同研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-09-06
    • Related Report
      2012 Final Research Report
  • [Presentation] 特殊関数の諸問題,複素幾何学の諸問題2010

    • Author(s)
      岩崎克則
    • Organizer
      RIMS共同研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-09-06
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] 特殊関数の問題-パンルヴェ性をめぐって2010

    • Author(s)
      岩崎克則
    • Organizer
      RIMS共同研究:複素幾何学の諸問題
    • Place of Presentation
      京都大学数理解析研究所 招待講演
    • Year and Date
      2010-09-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] Painleve VI 方程式のある特殊解について2010

    • Author(s)
      岩崎克則
    • Organizer
      函数方程式論ワークショ ップ
    • Place of Presentation
      東京大学大学院数理科学研究科, 東京
    • Year and Date
      2010-07-26
    • Related Report
      2012 Final Research Report
  • [Presentation] Painleve VI方程式のある特殊解について2010

    • Author(s)
      岩崎克則
    • Organizer
      函数方程式論ワークショップ
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2010-07-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] パンルヴェ方程式の代数解析と力学系2010

    • Author(s)
      岩崎克則
    • Organizer
      北海道大学談話会
    • Place of Presentation
      北海道大学理学研究院,札幌
    • Year and Date
      2010-05-20
    • Related Report
      2012 Final Research Report
  • [Presentation] パンルヴェ方程式の代数解析と力学系2010

    • Author(s)
      岩崎克則
    • Organizer
      北海道大学談話会
    • Place of Presentation
      北海道大学理学研究院 招待講演
    • Year and Date
      2010-05-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] パンルヴェ方程式の代数解析と力学系2010

    • Author(s)
      岩崎克則
    • Organizer
      日本数学会年会総合講演
    • Place of Presentation
      慶應義塾大学,横浜
    • Year and Date
      2010-03-25
    • Related Report
      2012 Final Research Report 2010 Self-evaluation Report
  • [Presentation] パンルヴェ方程式の代数解析と力学系2010

    • Author(s)
      岩崎克則
    • Organizer
      2010年度日本数学会年会総合講演
    • Place of Presentation
      慶應大学日吉キャンパス
    • Year and Date
      2010-03-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Algebraic analysis of the sixth Painleve equation2010

    • Author(s)
      Katsunori Iwasaki
    • Organizer
      4th Workshop on Hamiltonian systems and related topics
    • Place of Presentation
      新潟大学サテライトキャンパス
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Algebraic analysis of the sixth Painleve equation2010

    • Author(s)
      Katsunori Iwasaki
    • Organizer
      4th Workshop on Hamiltonian systems and related topics
    • Place of Presentation
      新潟大学サテライトキャンパス 招待講演
    • Related Report
      2010 Annual Research Report
  • [Presentation] A note on the Markoff Painleve transcendent2009

    • Author(s)
      K.Iwasaki
    • Organizer
      複素力学系とその関連分野の総合的研究, RIMS研究集会
    • Place of Presentation
      京都大学人間環境研究科
    • Year and Date
      2009-12-18
    • Related Report
      2012 Final Research Report
  • [Presentation] A note on the Markoff-Painleve transcendent, 複素力学系とその関連分野の総合的研究2009

    • Author(s)
      Katsunori Iwasaki
    • Organizer
      RIMS研究集会
    • Place of Presentation
      京都大学人間環境研究科,京都
    • Year and Date
      2009-12-18
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] A note on the Markoff-Painleve transcendent2009

    • Author(s)
      岩崎克則
    • Organizer
      複素力学系とその関連分野の総合的研究
    • Place of Presentation
      京都大学人間環境研究科
    • Year and Date
      2009-12-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Smale in Painleve around Gauss2009

    • Author(s)
      岩崎克則
    • Organizer
      筑波大学解析セミナー
    • Place of Presentation
      筑波大学
    • Year and Date
      2009-10-28
    • Related Report
      2012 Final Research Report
  • [Presentation] Smale in Painleve around Gauss2009

    • Author(s)
      岩崎克則
    • Organizer
      筑波大学解析セミナー
    • Place of Presentation
      筑波大学数学系
    • Year and Date
      2009-10-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] Smale in Painleve around Gauss2009

    • Author(s)
      岩崎克則
    • Organizer
      2009年度函数方程式サマーセミナー
    • Place of Presentation
      簡保の宿鳥羽, 鳥羽
    • Year and Date
      2009-08-01
    • Related Report
      2012 Final Research Report
  • [Presentation] Smale in Painleve around Gauss2009

    • Author(s)
      岩崎克則
    • Organizer
      2009年度函数方程式サマーセミナー
    • Place of Presentation
      簡保の宿鳥羽,
    • Year and Date
      2009-08-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] パンルヴェ方程式のモノドロミーとその力学系2009

    • Author(s)
      岩崎克則
    • Organizer
      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,京都
    • Year and Date
      2009-02-05
    • Related Report
      2012 Final Research Report 2010 Self-evaluation Report
  • [Presentation] パンルヴェ方程式のモノドロミーとその力学系2009

    • Author(s)
      岩崎 克則
    • Organizer
      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] Periodic solutions to Painleve VI2008

    • Author(s)
      K. Iwasaki
    • Organizer
      Journees Franco-Japonaises en honneur de Kazuo Okamoto: autour de Equations de Painleve
    • Place of Presentation
      Universite Louis Pasteur, Strasbourg, France
    • Year and Date
      2008-11-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] パンルヴェ方程式と複素力学系2008

    • Author(s)
      岩崎克則
    • Organizer
      複素解析幾何セミナー
    • Place of Presentation
      東京大学大学院数理科学研究科,東京
    • Year and Date
      2008-10-20
    • Related Report
      2012 Final Research Report
  • [Presentation] パンルヴェ方程式と複素力学系2008

    • Author(s)
      岩崎 克則
    • Organizer
      複素解析幾何セミナー
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2008-10-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] 1次元可解カオス系の超離散化とトロピカル幾何2008

    • Author(s)
      梶原健司
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-24
    • Related Report
      2008 Annual Research Report
  • [Presentation] パンルヴェ方程式の幾何学2008

    • Author(s)
      岩崎克則
    • Organizer
      第55回幾何学シンポジウム
    • Place of Presentation
      弘前大学,弘前
    • Year and Date
      2008-08-25
    • Related Report
      2012 Final Research Report 2010 Self-evaluation Report
  • [Presentation] パンルヴェ方程式の幾何学2008

    • Author(s)
      岩崎 克則
    • Organizer
      第55回幾何学シンポジウム
    • Place of Presentation
      弘前大学
    • Year and Date
      2008-08-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] パンルヴェ第VI方程式のの代数解について2008

    • Author(s)
      岩崎克則
    • Organizer
      函数方程式論サマーセミナー
    • Place of Presentation
      白樺ハイツ,富山市亀谷
    • Year and Date
      2008-08-08
    • Related Report
      2012 Final Research Report
  • [Presentation] 指標多様体上の有限軌道とパンルヴェVIの代数解2008

    • Author(s)
      岩崎克則
    • Organizer
      微分ガロア理論・モノドロミー保存変形・パンルヴェ方程式
    • Place of Presentation
      神戸大学大学院理学研究科,神戸
    • Year and Date
      2008-07-23
    • Related Report
      2012 Final Research Report
  • [Presentation] Painleve VI: fromalgebraic geometry to elementary geometry2008

    • Author(s)
      K. Iwasaki
    • Organizer
      International Conference From Painleve to Okamoto"
    • Place of Presentation
      東京大学大学院数理科学研究科,東京
    • Year and Date
      2008-06-12
    • Related Report
      2012 Final Research Report
  • [Presentation] Painleve VI : from algebraic geometry to elementary geometry2008

    • Author(s)
      Katsunori Iwasaki
    • Organizer
      International Conference"From Painleve to Okamoto"
    • Place of Presentation
      東京大学大学院数理科学研究科,東京
    • Year and Date
      2008-06-12
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Painleve VI : from algebraic geometry to elementary geometry2008

    • Author(s)
      Katsunori Iwasaki
    • Organizer
      International Conference“From Painleve to Okamoto"
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2008-06-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] Finite orbits on character varieties and algebraic solutions to Painleve VI2008

    • Author(s)
      K.Iwasaki
    • Organizer
      完全 WKB 解析と超局所解析
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-05-29
    • Related Report
      2012 Final Research Report
  • [Presentation] Finite orbits on character varieties and algebraic solutions to Painleve VI2008

    • Author(s)
      Katsunori Iwasaki
    • Organizer
      完全WKB解析と超局所解析
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-05-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] Periodic solutions to Painleve VI, Journees Franco Japonaises en honneur de Kazuo Okamoto2008

    • Author(s)
      K. Iwasaki
    • Organizer
      autour de Equations de Painleve, IRMA
    • Place of Presentation
      Universite Louis Pasteur, Strasbourg, France
    • Related Report
      2012 Final Research Report
  • [Presentation] Periodic solutions to Painleve VI, Journees Franco-Japonaises en honneur de Kazuo Okamoto : autour de Equations de Painleve2008

    • Author(s)
      Katsunori Iwasaki
    • Organizer
      IRMA
    • Place of Presentation
      Universite Louis Pasteur, Strasbourg, France
    • Related Report
      2010 Self-evaluation Report
  • [Remarks]

    • URL

      http://hyoka.ofc.kyushu-u.ac.jp/search/details/K000384/index.html

    • Related Report
      2008 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2019-07-29  

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