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New developments and interaction between Algebraic Geometry and Integrable Systems

Research Project

Project/Area Number 19104002
Research Category

Grant-in-Aid for Scientific Research (S)

Allocation TypeSingle-year Grants
Research Field Algebra
Research InstitutionKobe University

Principal Investigator

SAITO Masa-hiko (SAITO Masahiko)  神戸大学, 大学院・理学研究科, 教授 (80183044)

Co-Investigator(Kenkyū-buntansha) NOUMI Masatoshi  神戸大学, 自然科学系先端融合研究環重点研究部, 教授 (80164672)
YOSHIOKA Kota  神戸大学, 大学院・理学研究科, 教授 (40274047)
YAMADA Yasuhiko  神戸大学, 大学院・理学研究科, 教授 (00202383)
OHTA Yasuhiro  神戸大学, 大学院・理学研究科, 准教授 (10213745)
YAMAKAWA Daisuke  神戸大学, 大学院・理学研究科, 助教 (20595847)
深谷 賢治  京都大学, 大学院・理学研究科, 教授 (30165261)
岩崎 克則  九州大学, 大学院・数理学研究院, 教授 (00176538)
細野 忍  東京大学, 大学院・数理科学研究科, 准教授 (60212198)
Co-Investigator(Renkei-kenkyūsha) FUKAYA Kenji  京都大学, 大学院・理学研究科, 教授 (30165261)
INABA Michiaki  京都大学, 大学院・理学研究科, 准教授 (80359934)
TAKASAKI Kanehisa  京都大学, 大学院・人間環境学研究科, 教授 (40171433)
MORI Shigefumi  京都大学, 数理解析研究所, 教授 (00093328)
MUKAI Shigeru  京都大学, 数理解析研究所, 教授 (80115641)
IWASAKI Katsunori  北海道大学, 大学院・理学研究院, 教授 (00176538)
KANEKO Masanobu  九州大学, 大学院・数理学研究院, 教授 (70202017)
HARAOKA Yoshishige  熊本大学, 大学院・自然科学研究科, 教授 (30208665)
NAMIKAWA Yoshinori  京都大学, 大学院・理学研究科, 教授 (80228080)
ISHII Akira  広島大学, 大学院・理学研究科, 准教授 (10252420)
FUJINO Osamu  京都大学, 大学院・理学研究科, 准教授 (60324711)
HOSONO Shinobu  東京大学, 大学院・数理科学研究科, 准教授 (60212198)
MATSUSHITA Daisuke  北海道大学, 大学院・理学研究院, 准教授 (90333591)
YOSHINAGA Masahiko  京都大学, 大学院・理学研究科, 助教 (90467647)
KOIKE Tatsuya  神戸大学, 大学院・理学研究科, 准教授 (80324599)
MOCHIZUKI Takuro  京都大学, 数理解析研究所, 准教授 (10315971)
IRITANI Hiroshi  京都大学, 大学院・理学研究科, 准教授 (20448400)
HARASHITA Shushi  横浜国立大学, 環境情報研究院, 准教授 (70396852)
TODA Yukinobu  東京大学, 数物連携宇宙研究機構, 特任准教授 (20503882)
Project Period (FY) 2007 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥99,190,000 (Direct Cost: ¥76,300,000、Indirect Cost: ¥22,890,000)
Fiscal Year 2011: ¥18,200,000 (Direct Cost: ¥14,000,000、Indirect Cost: ¥4,200,000)
Fiscal Year 2010: ¥18,720,000 (Direct Cost: ¥14,400,000、Indirect Cost: ¥4,320,000)
Fiscal Year 2009: ¥19,240,000 (Direct Cost: ¥14,800,000、Indirect Cost: ¥4,440,000)
Fiscal Year 2008: ¥17,680,000 (Direct Cost: ¥13,600,000、Indirect Cost: ¥4,080,000)
Fiscal Year 2007: ¥25,350,000 (Direct Cost: ¥19,500,000、Indirect Cost: ¥5,850,000)
Keywords可積分系 / パンルヴェ方程式 / 相空間 / モジュライ空間 / 量子コホモロジーとミラー対称性 / 極小モデル理論 / 高次元代数多様体 / モノドロミー保存変形 / 複素力学系 / ミラー対称性
Research Abstract

We gave an algebro-geometric construction of the moduli spaces of stable parabolic connections over curves with unramified singularities, and showed the fundamental property of the Riemann-Hilbert correspondences. These results showed the geometric Painleve property of the nonlinear isomonodromic differential equations and established the geometry of isomonodromic deformations of connections, which enables us to investigate the phase space of differential equations deeply such as Okamoto's space of initial conditions for classical Painleve equations. Together with the progress in the field of higher dimensional birational geometry and the geometry related to mirror symmetry, these results reveal deep relations between algebraic geometry and integrable systems.

Report

(6 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Self-evaluation Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (161 results)

All 2013 2012 2011 2010 2009 2008 2007 Other

All Journal Article (76 results) (of which Peer Reviewed: 75 results) Presentation (68 results) Book (11 results) Remarks (6 results)

  • [Journal Article] Semi-homogeneous sheaves, Fourier-Mukai transforms and moduli of stable sheaves on abelian surfaces2013

    • Author(s)
      S.Yanagida, K.Yoshioka
    • Journal Title

      Journal fur die reine und angewandte Mathematik

      Volume: (印刷中)(掲載確定) Issue: 684 Pages: 31-86

    • DOI

      10.1515/crelle-2011-0010

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Foliations on the moduli space of rank two connections on the projective line minus four points2012

    • Author(s)
      F. Loray, M.-H. Sait, C. T. Simpson
    • Journal Title

      Seminaires et Congres, SMF

      Volume: 27 Pages: 115-168

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lagrangian fibrations on moduli spaces of singular connections on curves2012

    • Author(s)
      M.-H.Saito
    • Journal Title

      2011代数幾何学シンポジュム報告集

      Pages: 1-10

    • NAID

      120005763769

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves2012

    • Author(s)
      J.Inoguchi, K.Kajiwara, N.Matsuura, Y.Ohta
    • Journal Title

      J.Phys.A : Math.Theor.

      Volume: 45

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Donaldson=Seiberg-Witten from Mochizuki's formula and instanton counting2011

    • Author(s)
      L. Gottsche, H. Nakajima, K. Yoshioka
    • Journal Title

      Publ. Res. Inst. Math. Sci

      Volume: 47, no.1 Pages: 307-359

    • NAID

      110008425903

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lax formalism for q-Painleve equations with affine Weyl group symmetry of type E(1) n.2011

    • Author(s)
      Y. Yamada
    • Journal Title

      Int. Math. Res. Not. IMRN

      Volume: no.17 Pages: 3823-3838

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Non-vanishing theorem for log canonical pairs2011

    • Author(s)
      O. Fujino
    • Journal Title

      J. Algebraic Geom

      Volume: 20, no.4 Pages: 771-783

    • NAID

      120005593587

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Poisson deformations of affine symplectic varieties2011

    • Author(s)
      Y. Namikawa
    • Journal Title

      Duke Math. J

      Volume: 156, no.1 Pages: 51-85

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Prokhorov, Yuri, Threefold extremal contractions of type(IA)2011

    • Author(s)
      S. Mori
    • Journal Title

      Kyoto J. Math

      Volume: 51, no.2 Pages: 393-438

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the exact WKB analysis of higher order simple-pole type operators2011

    • Author(s)
      T. Kawai, T. Koike, Y. Takei
    • Journal Title

      Adv. Math

      Volume: 228, no.1 Pages: 63-96

    • NAID

      120003272689

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Perverse coherent sheaves on blow-up. II. Wall-crossing and Betti numbers formula2011

    • Author(s)
      H. Nakajima, K. Yoshioka
    • Journal Title

      J. Algebraic Geom

      Volume: 20, NO. 1 Pages: 47-100

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A quantum isomonodromy equation and its application to N=2 SU(N) gauge theories2011

    • Author(s)
      Y. Yamada
    • Journal Title

      J. Phys. A

      Volume: 44, no.5 Pages: 55403-55403

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 大域解析可能なFuchs型方程式2011

    • Author(s)
      原岡喜重
    • Journal Title

      数学

      Volume: 第63巻第3号 Pages: 257-280

    • NAID

      10029849848

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Counting pseudoholomorphic discs in Calabi-Yau 3-folds2011

    • Author(s)
      K. Fukaya
    • Journal Title

      Tohoku Math. J

      Volume: 63, no.4 Pages: 697-727

    • NAID

      110008764867

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Perverse coherent sheaves on blow-up I : a quiver description2011

    • Author(s)
      H.Nakajima, K.Yoshioka
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 61 Pages: 349-386

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Perverse coherent sheaves on blow-up III : Blow-up formula from wall-crossing2011

    • Author(s)
      H.Nakajima, K.Yoshioka
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 51 Issue: 2 Pages: 263-335

    • DOI

      10.1215/21562261-1214366

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] L General N-dark-dark solitons in the coupled nonlinear Schr¥"odinger equations2011

    • Author(s)
      Y.Ohta, D.-S.Wang, J.Yang
    • Journal Title

      Stud.Appl.Math.

      Volume: 127 Pages: 345-371

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A quantum isomonodromy equation and its application to N=2 SU(N) gauge theories2011

    • Author(s)
      Y.Yamada
    • Journal Title

      J.Phys.A, Math.Theor.

      Volume: (Online版)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Perverse coherent sheaves on blow-up II : Wall-crossing and Betti numbers formula2011

    • Author(s)
      H.Nakajima, K.Yoshioka
    • Journal Title

      J.Algebraic Geometry

      Volume: 29 Pages: 47-100

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] パンルヴェ方程式と代数幾何2010

    • Author(s)
      齋藤政彦
    • Journal Title

      数学

      Volume: 第62巻第4号 Pages: 524-544

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Moduli of stable objects in a triangulated category2010

    • Author(s)
      M. Inaba
    • Journal Title

      J. Math. Soc. Japan

      Volume: 62, no.2 Pages: 395-429

    • NAID

      10026999083

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Ruan's conjecture and integral structures in quantum cohomology2010

    • Author(s)
      H. Iritani
    • Journal Title

      Adv. Stud. Pure Math

      Volume: 59 Pages: 111-166

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stability conditions on Ansingularities2010

    • Author(s)
      A. Ishii, K. Ueda, H. Uehara
    • Journal Title

      J. Diff. Geom

      Volume: 84, no.1 Pages: 87-126

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] BCOV ring and holomorphic anomaly equation2010

    • Author(s)
      S. Hosono
    • Journal Title

      Adv. Stud. Pure Math

      Volume: 59 Pages: 79-110

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dark soliton solution of Sasa-Satsuma equation. Nonlinear and modern mathematicalphysics2010

    • Author(s)
      Y. Ohta
    • Journal Title

      Amer. Inst. Phys., Melville, NY

      Volume: 1212 Pages: 114-121

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds I2010

    • Author(s)
      K. Fukaya, Y.-G. Oh, Hiroshi Ohta and Kaoru Ono
    • Journal Title

      Duke Math. J

      Volume: 151 Pages: 23-174

    • NAID

      120002598755

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On a kind of duality of multiple zeta-star values2010

    • Author(s)
      M. Kaneko, Ohno, Yasuo
    • Journal Title

      Int. J. Number Theory

      Volume: 6, no.8 Pages: 1927-1932

    • NAID

      120003631328

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of the hyperbolic Schwarz map at irregular singular points2010

    • Author(s)
      T. Koike, T. Sasaki, M. Yoshida
    • Journal Title

      Funkcial. Ekvac

      Volume: 53, no.1 Pages: 99-132

    • NAID

      130000254361

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Curves and symmetric spaces, II2010

    • Author(s)
      S. Mukai
    • Journal Title

      Ann. of Math

      Volume: 172, no.3 Pages: 1539-1558

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Poisson deformations of affine symplectic varieties, II2010

    • Author(s)
      Y. Namikawa
    • Journal Title

      Kyoto J. Math

      Volume: 50, no.4 Pages: 727-752

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Note on the Stokes structure of Fourier transform2010

    • Author(s)
      T. Mochizuki
    • Journal Title

      Acta Math. Vietnam

      Volume: 35, no.1 Pages: 107-158

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Curve counting theories via stable objects I. DT/PT correspondence2010

    • Author(s)
      Y. Toda
    • Journal Title

      J. Amer. Math. Soc

      Volume: 23, no.4 Pages: 1119-1157

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Derived categories of coherent sheaves on algebraic varieties. Triangulated categories2010

    • Author(s)
      Y. Toda
    • Journal Title

      London Math. Soc. Lecture Note Ser

      Volume: 375 Pages: 408-451

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] パンルヴェ型微分方程式と代数幾何2010

    • Author(s)
      齋藤政彦
    • Journal Title

      数学

      Volume: 62-4 Pages: 524-544

    • NAID

      130004558930

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Five-dimensional AGT relation and the deformed β-ensemble2010

    • Author(s)
      H.Awata, Y.Yamada
    • Journal Title

      Prog.Theor.Phys.

      Volume: 124 Pages: 227-262

    • NAID

      10026986583

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lax formalism for q-Painleve equations with affine Weyl group symmetry of type E^{(1)}_n2010

    • Author(s)
      Y.Yamada
    • Journal Title

      Int.Math.Res.Notices

      Volume: (Online版)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Integrable discretizations of the short pulse equation2010

    • Author(s)
      B.-F.Feng, K.Maruno, Y.Ohta
    • Journal Title

      J.Phys.A : Math.Theor.

      Volume: 43

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Integrable discretizations for the short-wave model of the Camassa-Holm equation2010

    • Author(s)
      B.-F.Feng, K.Maruno, Y.Ohta
    • Journal Title

      J.Phys.A : Math.Theor.

      Volume: 43

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A self-adaptive moving mesh method for the Camassa-Holm equation2010

    • Author(s)
      B.-F.Feng, K.Maruno, Y.Ohta
    • Journal Title

      J.Comput.Appl.Math.

      Volume: 235 Pages: 229-243

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An action of a Lie algebra on the homology groups of moduli spaces of stable sheaves.2010

    • Author(s)
      K. Yshioka
    • Journal Title

      Adv. Stud.Pure Math. 58(掲載予定)

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] BCOV ring and holomorphic anomaly equation.2010

    • Author(s)
      S. Hsono
    • Journal Title

      Adv.Stud.Pure Math. 59(掲載予定)

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Moduli spaces for linear differential equations and the Painleve equations2009

    • Author(s)
      M. v. d. Put, M.-H. Saito
    • Journal Title

      Annales de l' institut Fourier

      Volume: 59, no.7 Pages: 2611-2667

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Kernel functions for difference operators of Ruijsenaars type and their applications2009

    • Author(s)
      Y. Komori, M. Noumi, J. Shiraishi
    • Journal Title

      SIGMA

      Volume: 5 Pages: 40-40

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Discretization of Coupled Nonlinear Schrodinger Equations2009

    • Author(s)
      Y. Ohta
    • Journal Title

      Stud. Appl. Math

      Volume: 122 Pages: 427-447

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Lax formalism for the elliptic difference Painleve equation2009

    • Author(s)
      Y. Yamada
    • Journal Title

      SIGMA Symmetry Integrability, Geom. Methods Appl

      Volume: 5

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Higer genus Gromov-Witten invariants of the Grassmannian, and the Pfaffian Calabi-Yau 3-folds2009

    • Author(s)
      S. Hosono and Y. Konishi
    • Journal Title

      Adv. Theor. Math. Phys

      Volume: 13 Pages: 1-3

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Multiple fibers of del Pezzo fibrations2009

    • Author(s)
      S. Mori, Y. Prokhorov
    • Journal Title

      Proc. Steklov Inst. Math

      Volume: 264 Pages: 131-145

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] An integral structure in quantum cohomology and mirror symmetry for toric orbifolds2009

    • Author(s)
      H. Iritani
    • Journal Title

      Adv. Math

      Volume: 222, no.3 Pages: 1016-1079

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Saito, Moduli spaces for linear differential equations and the Painleve equations.2009

    • Author(s)
      M.van der Put, M.-H.
    • Journal Title

      Annales de l' institut Fourier 59, no.7

      Pages: 2611-2667

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A Lax formalism for the elliptic difference Painlev\'e equation.2009

    • Author(s)
      Y. Yamada
    • Journal Title

      SIGMA 5

      Pages: 15-15

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Melting Crystal, Quantum Tbrus and Toda Hierarchy2009

    • Author(s)
      T. Nakatsu, K. Takasaki
    • Journal Title

      Commun, Math. Phys. 285

      Pages: 445-468

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Higher genus Gromov-Witten invariants of the Grassmannian, and the Pfaffian Calabi-Yau 3-folds2009

    • Author(s)
      S. Hosono ans Y. Konishi
    • Journal Title

      Adv. Theor. Math. Phys. 13

      Pages: 1-33

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exact Lagrangian submanifolds insimply-connected cotangent bundles2008

    • Author(s)
      K. Fukaya, P. Seidel, I. Smith
    • Journal Title

      Invent Math

      Volume: 172(1) Pages: 1-27

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Rigidity for Appell's hypergeometric series F42008

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

      Funkcial. Ekvac

      Volume: 51 Pages: 149-164

    • NAID

      130000140704

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On nef reductions of projective irreducible symplectic manifolds2008

    • Author(s)
      D. Matsushita
    • Journal Title

      Math. Z

      Volume: 258 Pages: 267-270

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Finite branch solutions to Painlev¥' e VI around a fixed singular point2008

    • Author(s)
      K. Iwasaki
    • Journal Title

      Adv. Math

      Volume: 217, no.5 Pages: 1889-1934

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On Q-conic bundles2008

    • Author(s)
      S. Mori, Y. Prokhorov
    • Journal Title

      Publ. RIMS Kyoto Univ

      Volume: 44 Pages: 315-369

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 双有理代数幾何とべき零軌道2008

    • Author(s)
      並河良典
    • Journal Title

      数学

      Volume: 60巻 Pages: 295-318

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Prokhorov, On Q-conic bundles, Publ.2008

    • Author(s)
      S. Mri, Y.
    • Journal Title

      RIMS Kyoto Univ. 44

      Pages: 315-369

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Birational geometry and deformations of nilpotent orbits.2008

    • Author(s)
      Y. Nmikawa
    • Journal Title

      Duke Math.J. 143

      Pages: 375-405

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Instanton counting and Donaldson invariants2008

    • Author(s)
      L. Gottsche, H. Nakaiima, K. Yoshioka
    • Journal Title

      J. Differential Geom. 80

      Pages: 343-390

    • NAID

      10019542192

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Holomorphic vector bundles on non-algebraic tori of dimension 22008

    • Author(s)
      K. Kurihara, K. Yoshioka
    • Journal Title

      manuscripta mathematica 126

      Pages: 143-166

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bilinearization and Casorati Determinant Solution to the Non-Autonomous Discrete KdV Equation2008

    • Author(s)
      K. Kajiwara, Y. Ohta
    • Journal Title

      J. Phys. Soc. Jpn. 77

      Pages: 54004-54004

    • NAID

      110006665992

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Localized Solitons of a (2十1)-Dimensional Nonlocal Nonlinear Schrodinger Equation2008

    • Author(s)
      K. Maruno, Y. Ohta
    • Journal Title

      Phys. Lett. A 372

      Pages: 4446-4450

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On Q-conic bundles2008

    • Author(s)
      S. Mori, Y. Prokhorov
    • Journal Title

      Publ. RMS Kyoto Univ. 44

      Pages: 315-369

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generic section of a hyperplane arrangement and twisted Hurewiczmaps2008

    • Author(s)
      M. Yoshinaga
    • Journal Title

      Topology and its applications 155

      Pages: 1022-1026

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Special functions arising from discrete Painleve equations : A survey2007

    • Author(s)
      M. Noumi
    • Journal Title

      J. Comput. Appl. Math

      Volume: 202 Pages: 48-55

    • NAID

      120001506666

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On Stokes matrices of Calabi-Yau hypersurfaces2007

    • Author(s)
      C. Doran, S. Hosono
    • Journal Title

      Adv. Theor. Math. Phys

      Volume: 11 Pages: 147-174

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of the sixth Painleve equation2007

    • Author(s)
      M. Inaba, K. Iwasaki and M.-H. Saito
    • Journal Title

      Seminaires et Congres, (発行年が2006年になっているが出版が遅れ, France数学会から実際の出版は2007年) 14

      Pages: 103-167

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Moduli of vector bundles on algebraic surfaces2007

    • Author(s)
      K. Yoshioka
    • Journal Title

      Sugaku Expositions 20,No.1

      Pages: 111-135

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Special functions arising from discrete Painleve'equations: a survey2007

    • Author(s)
      Masatoshi Noumi
    • Journal Title

      J. Comput. Appl. Math. 202,No.1

      Pages: 48-55

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Perverse coherent sheaves on blow-up III : Blow-up formula from wall-crossing

    • Author(s)
      H.Nakajima, K.Yoshioka
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: (掲載確定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Donaldson=Seiberg-Witten from Mochizuki's formula and instanton counting

    • Author(s)
      L.Goettsche, K.Nakajima, K.Yoshioka
    • Journal Title

      Publ.Res.Inst.Math.Sci.

      Volume: (掲載確定)

    • NAID

      110008425903

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] パンルヴェ方程式と代数幾何

    • Author(s)
      齋藤政彦
    • Journal Title

      数学 (掲載予定)

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Lax formalism for elliptic Painleve equation

    • Author(s)
      Y. Yamada
    • Journal Title

      SIGMA 掲載確定

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pade method to Painleve equations

    • Author(s)
      Y. Yamada
    • Journal Title

      Funkcial. Ekvac. 掲載確定

    • NAID

      130000140723

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] ホッジからツイスターへ-調和バンドルとその周辺の話題について2012

    • Author(s)
      望月拓郎
    • Organizer
      日本数学会年会企画特別講演
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-26
    • Related Report
      2011 Final Research Report
  • [Presentation] Wall crossing formula in Donaldson theory2012

    • Author(s)
      K. Yoshioka
    • Organizer
      Seminar on Pure Mathematics
    • Place of Presentation
      HONG KON
    • Year and Date
      2012-01-13
    • Related Report
      2011 Final Research Report
  • [Presentation] Lagrangian fibrations on the moduli spaces of singular connections of curves2011

    • Author(s)
      M-H. Saito
    • Organizer
      2011年度代数幾何学城崎シンポジュム
    • Place of Presentation
      兵庫県城崎大会議館
    • Year and Date
      2011-10-25
    • Related Report
      2011 Final Research Report
  • [Presentation] Elliptic Schur functions2011

    • Author(s)
      M. Noumi
    • Organizer
      Integrable Systems Seminar
    • Place of Presentation
      Univ. of Sydney
    • Year and Date
      2011-08-24
    • Related Report
      2011 Final Research Report
  • [Presentation] Elliptic Schur functions2011

    • Author(s)
      M.Noumi
    • Organizer
      Integrable Systems Seminar, University of Sydney
    • Place of Presentation
      National Taiwan University
    • Year and Date
      2011-08-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Pade interpolation for elliptic Painlev¥'e equation2011

    • Author(s)
      M.Noumi
    • Organizer
      Geometry Seminar, University of Sydney
    • Place of Presentation
      National Taiwan University
    • Year and Date
      2011-08-23
    • Related Report
      2011 Annual Research Report
  • [Presentation] 差分ソリトン方程式の話題2011

    • Author(s)
      Y.Ohta
    • Organizer
      RIMS研究集会「可積分系数理の進化」
    • Place of Presentation
      京都大学数理解析研究所(東京都)
    • Year and Date
      2011-08-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] An interpolation problem related with q-E(1) 8 Painlev' e equation2011

    • Author(s)
      Y. Yamada
    • Organizer
      Infinite Analysis 11
    • Place of Presentation
      東大数理
    • Year and Date
      2011-07-28
    • Related Report
      2011 Final Research Report
  • [Presentation] An interpolation problem related with $q$-$E^{(1)}_8$ Painle¥'e equation2011

    • Author(s)
      Y.Yamada
    • Organizer
      Infinite Analysis 11
    • Place of Presentation
      National Taiwan University
    • Year and Date
      2011-07-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Bridgeland stability conditions and Fourier-Mukai transforms2011

    • Author(s)
      K. Yoshioka
    • Organizer
      Moduli spaces closing conference
    • Place of Presentation
      Isacc Newton Institute for Mathematical Science
    • Year and Date
      2011-06-27
    • Related Report
      2011 Final Research Report
  • [Presentation] Discretization of soliton equations derived through hodograph transformation2011

    • Author(s)
      Y.Ohta
    • Organizer
      2012 Tokyo Workshop on Structure-Preserving Methods
    • Place of Presentation
      東京大学(東京都)
    • Year and Date
      2011-06-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] Lagrangian fibrations on the moduli spaces of singular conne ctions of curves2011

    • Author(s)
      M.-H.Saito
    • Organizer
      2011 TIMS Summer School on Mirror Symmetry
    • Place of Presentation
      National Taiwan University
    • Year and Date
      2011-06-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Ten families of linear connections, Painleve equations and monodromy dat2011

    • Author(s)
      M-H. Saito
    • Organizer
      Workshop on Isomonodromy Theory
    • Place of Presentation
      National Taiwan University
    • Year and Date
      2011-06-03
    • Related Report
      2011 Final Research Report
  • [Presentation] Lagrangian fibrations on the moduli space of parabolic connections2011

    • Author(s)
      M.-H. Saito
    • Organizer
      Around twistor structures and nonabelian Hodge theory
    • Place of Presentation
      SEDIGA Workshop, ENS Paris
    • Year and Date
      2011-02-08
    • Related Report
      2011 Final Research Report
  • [Presentation] Lagrangian fibrations on the moduli space of parabolic connections2011

    • Author(s)
      M.-H., Saito
    • Organizer
      Around twistor structures and nonabelian Hodge theory
    • Place of Presentation
      ENS Paris (France)(招待講演)
    • Year and Date
      2011-02-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quantum isomonodromy deformation and N=2 gauge theory2011

    • Author(s)
      山田泰彦
    • Organizer
      物理セミナー
    • Place of Presentation
      静岡大学・理学部(静岡県)(招待講演)
    • Year and Date
      2011-02-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quantum isomonodromy deformation and N=2 gauge theory2011

    • Author(s)
      山田泰彦
    • Organizer
      弦理論セミナー
    • Place of Presentation
      名古屋大学・多元数理(愛知県)(招待講演)
    • Year and Date
      2011-01-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Dark and bright soliton solutions for coupled derivative nonlinear Schr\"odinger2011

    • Author(s)
      Y.Ohta
    • Organizer
      2011 Joint Mathematics Meetings
    • Place of Presentation
      New Orleans, (USA)
    • Year and Date
      2011-01-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] Moduli spaces of connections on curves and their canonical coordinates2011

    • Author(s)
      齋藤政彦
    • Organizer
      超幾何方程式研究会2011
    • Place of Presentation
      神戸大学(兵庫県)(招待講演)
    • Year and Date
      2011-01-05
    • Related Report
      2010 Annual Research Report
  • [Presentation] Bridgeland stability conditions and Fourier-Mukai transforms2011

    • Author(s)
      K.Yoshioka
    • Organizer
      Moduli spaces closing conference
    • Place of Presentation
      Newton Institute
    • Related Report
      2011 Annual Research Report
  • [Presentation] AGT予想が切り開いた新たな数学の世界2010

    • Author(s)
      山田泰彦
    • Organizer
      「量子可積分系の新展開」研究会
    • Place of Presentation
      静岡県・富士教育研修所(静岡県)(招待講演)
    • Year and Date
      2010-12-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] 曲線上の接統のモジュライ空間の標準的座標について2010

    • Author(s)
      齋藤政彦
    • Organizer
      研究集会「代数幾何学とその周辺」
    • Place of Presentation
      高知大学(高知県)(招待講演)
    • Year and Date
      2010-12-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] Coordinate transformation and discretization for soliton equation2010

    • Author(s)
      Y.Ohta
    • Organizer
      GCOE conference : Algebraic and geometric aspects of discrete integrable systems-Integrable systems and cluster algebras
    • Place of Presentation
      東京大学(東京都)
    • Year and Date
      2010-12-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Birational Weyl group action on the space of matrices and a discrete integrable system2010

    • Author(s)
      M.Noumi
    • Organizer
      International workshop on Algebraic and geometric aspects of discrete integrable systems : integrable systems and cluster algebras
    • Place of Presentation
      東京大学(東京都)(招待講演)
    • Year and Date
      2010-12-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] 共形場理諭,モノドロミー保存変形とAGT予想2010

    • Author(s)
      山田泰彦
    • Organizer
      表現論セミナー
    • Place of Presentation
      東都大学数理解析研究所(京都府)(招待講演)
    • Year and Date
      2010-12-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] モノドロミー保存変形とN=2ゲージ理論2010

    • Author(s)
      山田泰彦
    • Organizer
      第4回日露ワーキングセミナー
    • Place of Presentation
      大阪市立大学・梅田文化交流センター(大阪府)(招待講演)
    • Year and Date
      2010-11-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Some remarks on elliptic Schur functions2010

    • Author(s)
      M.Noumi
    • Organizer
      International workshop on Analysis, Geometry and Group Representations for Homogeneous Spaces
    • Place of Presentation
      Lorentz Center, Leiden, The Netherlands (USA)(招待講演)
    • Year and Date
      2010-11-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] A quantum isomonodromy equation and its application to gauge theories2010

    • Author(s)
      山田泰彦
    • Organizer
      神戸可積分系セミナー
    • Place of Presentation
      神戸大(兵庫県)
    • Year and Date
      2010-11-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] E_n型q-Painleve方程式のLax形式2010

    • Author(s)
      山田泰彦
    • Organizer
      日本数学会無限可積分系セッション
    • Place of Presentation
      名古屋大学(愛知県)
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] The moduli spaces of stable parabolic λ-connections and their canonical coordinates (Joint works with M.Inaba and with S.Szabo)2010

    • Author(s)
      M.-H., Saito
    • Organizer
      Moduli spaces of meromorphic connections
    • Place of Presentation
      ENS Paris (France)(招待講演)
    • Year and Date
      2010-09-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] CFT,モノドロミー保存変形, Nekrasov関数2010

    • Author(s)
      山田泰彦
    • Organizer
      「BC系とAGT予想の周辺」研究会
    • Place of Presentation
      東京大学・数理科学研究科(東京都)(招待講演)
    • Year and Date
      2010-09-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] 楕円Schur函数2010

    • Author(s)
      野海正俊
    • Organizer
      研究集会「BC系とAGT予想の周辺」
    • Place of Presentation
      東京大学・数理科学研究科(東京都)(招待講演)
    • Year and Date
      2010-09-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] $BC_m$型Ruijsenaars差分作用素と積分変換から生じる固有函数2010

    • Author(s)
      野海正俊
    • Organizer
      研究集会「BC系とAGT予想の周辺」
    • Place of Presentation
      東京大学・数理科学研究科(東京都)(招待講演)
    • Year and Date
      2010-09-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] N=2ゲージ理論とモノドロミー保存変形2010

    • Author(s)
      山田泰彦
    • Organizer
      「重力・幾何・素粒子」研究会
    • Place of Presentation
      大阪市立大学(大阪府)(招待講演)
    • Year and Date
      2010-09-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] 確定および不確定特異点をもつ線形接続のモジュライ空間と標準座標について2010

    • Author(s)
      齋藤政彦
    • Organizer
      研究集会「代数幾何の関連する諸分野」
    • Place of Presentation
      北海道大学(北海道)(招待講演)
    • Year and Date
      2010-09-01
    • Related Report
      2010 Annual Research Report
  • [Presentation] Discretization of integrable systems with hodograph transformation2010

    • Author(s)
      Y.Ohta
    • Organizer
      Satellite conference of the ICM 2010 : Integrable Systems and Geometry
    • Place of Presentation
      Puducherry, (India)
    • Year and Date
      2010-08-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] Discrete Painlev\'e equations and special functions2010

    • Author(s)
      M.Noumi
    • Organizer
      Integrable Systems and Geometry", ICM 2010 Satellite Conference
    • Place of Presentation
      Pondicherry University, Puducherry, (India)(招待講演)
    • Year and Date
      2010-08-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] 代数曲面のDonaldson不変量について2010

    • Author(s)
      吉岡康太
    • Organizer
      幾何学シンポジウム
    • Place of Presentation
      神戸大学・理学研究科(兵庫県)(招待講演)
    • Year and Date
      2010-08-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] 確定および不確定特異点をもつ有理接続のモジュライ空間とその標準座標について2010

    • Author(s)
      齋藤政彦
    • Organizer
      ミニワークショップ「微分作用素と剛性」
    • Place of Presentation
      九州大学(福岡県)(招待講演)
    • Year and Date
      2010-07-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Affine Weyl groups and Painlev\'e equations2010

    • Author(s)
      M.Noumi
    • Organizer
      Guest Lecture at Summer School on "Classical and Quantum Integrable Models" (London Mathematical Society and EPSRC Short Instructional Course)
    • Place of Presentation
      SMSAS, University of Kent, (U.K.)(招待講演)
    • Year and Date
      2010-07-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Affine Hecke algebra approach to Koorn winder polynomials and van Diejen's $q$-difference operators2010

    • Author(s)
      M.Noumi
    • Organizer
      Alegebra, Geometry and Integrable Systems Colloquium
    • Place of Presentation
      School of Mathematics, University of Leeds, (U.K.)(招待講演)
    • Year and Date
      2010-07-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] Discrete sine-Gordon equations : hyperbolic and elliptic types2010

    • Author(s)
      Y.Ohta
    • Organizer
      Symmetry Plus Integrability 2010
    • Place of Presentation
      South Padre Island, (USA)
    • Year and Date
      2010-06-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] Some topics on moduli theory of connections on curves2010

    • Author(s)
      M.-H., Saito
    • Organizer
      Seminaire d'Algebre, Topologie et Geometrie
    • Place of Presentation
      Universite de Nice Sophia-Antipolis. (Frarce)(招待講演)
    • Year and Date
      2010-05-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] 溶解結晶模型の可積分構造2010

    • Author(s)
      高崎金久
    • Organizer
      日本数学会2010年年会,無限可積分系セッション特別講演
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-27
    • Related Report
      2011 Final Research Report
  • [Presentation] 可換差分作用素と核函数2010

    • Author(s)
      野海正俊
    • Organizer
      日本数学会2010年度年会,特別講演
    • Place of Presentation
      慶応義塾大学
    • Year and Date
      2010-03-26
    • Related Report
      2011 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
      日本数学会年会総合講演
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-25
    • Related Report
      2011 Final Research Report
  • [Presentation] Three dimensional Q-conic bundles and related topics2010

    • Author(s)
      森重文
    • Organizer
      複素幾何2010(Mabuchi 60)
    • Place of Presentation
      大阪大学理学部
    • Year and Date
      2010-03-20
    • Related Report
      2011 Final Research Report
  • [Presentation] Polarized K3 surfaces of genus 16,"Moduli spaces in Algebraic Geometry"2010

    • Author(s)
      S. Mukai
    • Organizer
      Mathematishes Forschungsinstitut Oberwolfach
    • Place of Presentation
      Germany
    • Year and Date
      2010-01-12
    • Related Report
      2011 Final Research Report
  • [Presentation] Determinant identities arising from soliton theory2010

    • Author(s)
      Y. Ohta
    • Organizer
      China-Japan Joint Workshop on Integrable Systems
    • Place of Presentation
      Shaoxing, China
    • Year and Date
      2010-01-09
    • Related Report
      2011 Final Research Report
  • [Presentation] Moduli theory of connections and Geometry of Riemann-Hilbert correspondences, RTG Grad.2009

    • Author(s)
      M-H, Saito
    • Organizer
      Summer School 'Geometry of quantum fields and strings'
    • Place of Presentation
      University of Pennsylvania, USA
    • Year and Date
      2009-06-16
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] Lax formalism for the elliptic difference Painleve equation.2009

    • Author(s)
      Y. Yamada
    • Organizer
      Geometric aspects of discrete and ultra-discrete integrable systems
    • Place of Presentation
      Glasgow Univ, UK
    • Year and Date
      2009-04-03
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] Poisson deformations of symplectic varieties"workshop "Complex algebraic geometry"2009

    • Author(s)
      Y. Namikawa
    • Organizer
      Oberwolfach数学研究所
    • Place of Presentation
      Germany
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] The elliptic Painleve equation.2009

    • Author(s)
      M.Noumi
    • Organizer
      I, II, III, Discrete Integrable Systems Seminar
    • Place of Presentation
      Isaac Newton Institute for Math. Sci.Cambridge, UK
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] Dimer models and the special McKay correspondence2008

    • Author(s)
      A. Ishii
    • Organizer
      COE-COW Tokyo, An International Conference in Algebraic Geometry
    • Place of Presentation
      University of Tokyo
    • Year and Date
      2008-12-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] Vanishing and torsion-free theorems for the log minimal model program2008

    • Author(s)
      O. Fujino
    • Organizer
      Algebraic Geometry Seminar
    • Place of Presentation
      Princeton University
    • Year and Date
      2008-11-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] 極小モデル理論と消滅定理.2008

    • Author(s)
      藤野修
    • Organizer
      日本数学会2008年秋季総合分科会
    • Place of Presentation
      東京工業大学(特別講演)
    • Year and Date
      2008-09-25
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis2008

    • Author(s)
      T. Koike
    • Organizer
      International Workshop on Global Behaviors of Differential Equations
    • Place of Presentation
      Hiroshima University
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Periods and computational complexity of real numbers2008

    • Author(s)
      M. Yoshinaga
    • Organizer
      CONFERENCE IN HONOUE OF PETER ORLIK
    • Place of Presentation
      Fields Institute, Toronto
    • Year and Date
      2008-08-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometry of elliptic Painleve equation and their hypergeometricsolutions2008

    • Author(s)
      Y. Yamada
    • Organizer
      Workshop “Elliptic integrable systems, isomonodromy problems and hypergeometric functions"
    • Place of Presentation
      Max-Plank Inst. (Germany)
    • Year and Date
      2008-07-21
    • Related Report
      2008 Annual Research Report
  • [Presentation] Q-conic bundles and the General Elephant Conjecture2008

    • Author(s)
      S. Mori
    • Organizer
      60Miles conference
    • Place of Presentation
      University of College London
    • Year and Date
      2008-07-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] Symmetries, of Painleve equations and special polynomials2008

    • Author(s)
      M. Noumi
    • Organizer
      International Conference : From Painleve to Okamoto
    • Place of Presentation
      University of Tokyo
    • Year and Date
      2008-06-13
    • Related Report
      2008 Annual Research Report
  • [Presentation] On deformations of Lagrangian fibrations2008

    • Author(s)
      D. Matsushita
    • Organizer
      moduli 空間と双有理幾何学
    • Place of Presentation
      RIMS, Kyoto University
    • Year and Date
      2008-06-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] Discretization of coupled nonlinear Schrodinger equations2008

    • Author(s)
      Y. Ohta
    • Organizer
      International Conference : Nonlinear Waves--Theory and Applications
    • Place of Presentation
      Tsinghua University, Beijing, China
    • Year and Date
      2008-06-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Invariants and moduli2008

    • Author(s)
      S. Mukai
    • Organizer
      Geometric Invariant Theory
    • Place of Presentation
      Univ. Gottingen, Germany
    • Year and Date
      2008-06-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] A Calabi-Yau threefold with abelian fibration and Z/2Z-action2008

    • Author(s)
      M. -H., Saito
    • Organizer
      String Phenomenology 2008
    • Place of Presentation
      University of Pennsylvania
    • Year and Date
      2008-05-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] Fourier-Mukai partners and Gromov-Witten invariants2008

    • Author(s)
      S. Hosono
    • Organizer
      Workshop in algebraic geometry and physics
    • Place of Presentation
      Chinese University of Hong Kong
    • Year and Date
      2008-04-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] Deligne-Hitchin-Simpson's Twistor space for non-compact case and adegeneration of Painleve equations2008

    • Author(s)
      M. -H., Saito, T. Tahara
    • Organizer
      Workshop on The geometry and integrability oftopological OFT and string theory
    • Place of Presentation
      University of Warwick
    • Year and Date
      2008-04-01
    • Related Report
      2008 Annual Research Report
  • [Presentation] Recent progress in higher dimensional algebraic geometry I2007

    • Author(s)
      S. Mori
    • Organizer
      Clay Research Conference
    • Place of Presentation
      Clay数学研究所
    • Year and Date
      2007-05-14
    • Related Report
      2007 Annual Research Report
  • [Book] Exploring new structures and natural constructions in mathematical physics2011

    • Author(s)
      K. Hasegawa, T. Hayashi, S. Hosono, Y. Yamada
    • Publisher
      Soc. of Japan
    • Related Report
      2011 Final Research Report
  • [Book] New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry,(RIMS, Kyoto, 2008)2010

    • Author(s)
      M.-H. Saito, S. Hosono, K. Yoshioka
    • Total Pages
      437
    • Publisher
      Adv. Stud. Pure Math
    • Related Report
      2011 Final Research Report
  • [Book] Advanced Studies in Pure Mathematics 59, New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry (RIMS, Kyoto, 2008)2010

    • Author(s)
      M.-H.Saito, S.Hosono, K.Yoshioka (eds)
    • Total Pages
      434
    • Publisher
      Mathematical Society of Japan
    • Related Report
      2010 Annual Research Report
  • [Book] New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry(Adv. Stud. Pure Math., vol.59)2010

    • Author(s)
      M.-H.Saito, S.Hosono, K.Yoshioka, (Eds)
    • Total Pages
      437
    • Publisher
      RIMS
    • Related Report
      2009 Self-evaluation Report
  • [Book] Lagrangian intersection Floer theory, Anomaly and obstruction2009

    • Author(s)
      Kenji Fukaya, Y.-G. Oh, Hiroshi Ohta, and Kaoru Ono
    • Total Pages
      800
    • Publisher
      International Press/Amer
    • Related Report
      2011 Final Research Report
  • [Book] Proceedings of the Workshop "Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions"2009

    • Author(s)
      M. Noumi, E. M. Rains, H. Rosengren
    • Publisher
      SIGMA5
    • Related Report
      2011 Final Research Report
  • [Book] AMS/IP stidues in advanced Math. 46(Lagrangian intersection Floer theory, 2volumes)2009

    • Author(s)
      Kenji Fukaya, Y.-G.
    • Total Pages
      800
    • Publisher
      Anomaly and obstruction, International Press/Amer.Math. Soc.
    • Related Report
      2009 Self-evaluation Report
  • [Book] 暗号の整数論2009

    • Author(s)
      金子昌信, 境隆一
    • Total Pages
      58
    • Publisher
      講談社
    • Related Report
      2008 Annual Research Report
  • [Book] モジュライ理論I, II2008

    • Author(s)
      向井茂
    • Total Pages
      458
    • Publisher
      岩波書店
    • Related Report
      2011 Final Research Report
  • [Book] オイラーに学ぶ-『無限解析序説』への誘い,2007

    • Author(s)
      野海 正俊
    • Total Pages
      136
    • Publisher
      日本評論社
    • Related Report
      2007 Annual Research Report
  • [Book] SIGMA

    • Author(s)
      N.~Joshi, E.~Koelink, T.~Koornwinder, M.~Noumi, S.~Ruijsenaars, F.~Smirnov, J.~Stokman (Eds.)
    • Publisher
      Special Issue on Relationship of Orthogonal Polynomials and Special Functions with Quantum Groups and Integrable Systems(掲載確定)
    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www2.kobe-u.ac.jp/~mhsaito/ftop.html

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www2.kobe-u.ac.jp/~mhsaito/ftop.html

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www2.kobe-u.ac.jp/~mhsaito/ftop.html

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www2.kobe-u.ac.jp/~mhsaito/ftop.html

    • Related Report
      2009 Self-evaluation Report
  • [Remarks]

    • URL

      http://www2.kobe-u.ac.jp/~mhsaito/ftop.Html

    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://www2.kobe-u.ac.jp/~mhsaito/ftop.html

    • Related Report
      2007 Annual Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

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