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2001 Fiscal Year Final Research Report Summary

Fundamentals and Applications of Mathematics

Research Project

Project/Area Number 10304004
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionTohoku University

Principal Investigator

NISHIKAWA Seiki  Tohoku University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (60004488)

Co-Investigator(Kenkyū-buntansha) BANDO Shigetoshi  Tohoku University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (40165064)
SUNADA Toshikazu  Tohoku University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (20022741)
ODA Tadao  Tohoku University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (60022555)
BANNAI Eiichi  Kyushu University, Graduate School of Science, Professor, 大学院・数理学研究院, 教授 (10011652)
FUKAYA Kenji  Kyoto University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (30165261)
Project Period (FY) 1998 – 2001
KeywordsMathematical science / Global analysis / Symplectic geometry / Combinatorics / Class field theory / Group theory / Singularities / Integrable system
Research Abstract

The main objective of this project was twofold. One was to execute intensive cooperative researches beyond the borders of specific research fields with the aim of strengthening the foundation of mathematical sciences and its applications. The other was to promote the publication of the "Advanced Studies in Pure Mathematics" series (ASPM for short) in order to establish the prompt distribution of research results in official publication form.
As its outcomes, two international conferences were organized and accomplished with great success, and the following eight proceedings of international conferences were edited and published.
A. International Conferences :
(1) Minimal Surfaces, Geometric Analysis and Symplectic Geometry, held at the Japan-America Mathematics Institute, Johns Hopkins University in March, 1999.
(2) The Fifth Pacific Rim Geometry Conference, held at Tohoku University in July, 2000.
B. Proceedings :
(1) Arrangements - Tokyo 1998, ASPM Vol. 27
(2) Singularities - Sapporo 1998, ASPM Vol. 29
(3) Class Field Theory - Its Centenary and Prospect, ASPM Vol. 30
(4) Groups and Combinatorics - in memory of Michio Suzuki, ASPM Vol. 32
(5) Minimal Surfaces, Geometric Analysis and Symplectic Geometry, ASPM Vol. 34
(6) Proceedings of The Fifth Pacific Rim Geometry Conference, Tohoku Math. Publ., No. 20
(7) Surveys on Integrable Systems in Differential Geometry, to be published in 2002
(8) Lie Groups, Geometric Structure and Differential Equations - One Hundred Years after Sophus Lie-, to be published in 2002

  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] Seiki Nishikawa: "Harmonic maps and negatively curved homogeneous spaces"Geometry and Topology of Submanifolds. 10. 200-215 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shigetoshi Bando: "The existence problem of Einstein-Kahler metrics : the case of positive scalar curvature"Sugaku Expositions. 14. 91-101 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kenji Fukaya: "Arnold conjecture and Gromov-Witten invariant"Topology. 38. 933-1048 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kenji Fukaya: "Floer homology and mirror symmetry II"Advanced Studies in Pure mathematics. 34(印刷中). (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Eiichi Bannai: "Some results on modular forms-Subgroups of the modular group whose ring of modular forms is a polynomial ring"Advanced Studies in Pure mathematics. 32. 245-254 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shigefumi Mori: "On a hyper plane section theorem of Gurjar"Mathematische Annalen. 319. 533-537 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Seiki Nishikawa: "Proceedings of the Fifth Pacific Rim Geometry Conference, Tohoku Mathematical Publications, No.20"Mathematical Institute, Tohoku University. 205 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Michael Falk: "Arrangements-Tokyo 1998 Advanced Studies in Pure Mathematics, Vol.27"Kinokuniya Company Ltd.. 283 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Jean-Paul Brasselet: "Singularities-Sapporo 1998 Advanced Studies in Pure Mathematics, Vol.29"Kinokuniya Company Ltd.. 326 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Katsuya Miyake: "Class Field Theory-Its Centenary and Prospect Advanced Studies in Pure Mathematics, Vol.30"Mathematical Society of Japan. 641 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Eiichi Bannai: "Groups and Combinatorics-in memory of Michio Suzuki Advanced Studies in Pure Mathematics, Vol.32"Mathematical Society of Japan. 483 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kinji Fukaya: "Minimal Surfaces, Gesmetric Analysis and Symplectic Geometry Advanced Studies in Pure Mathematics, Vol.34"Mathematical Society of Japan(印刷中・予定). 275 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Seiki Nishikawa: "Harmonic maps and negatively curved homogeneous spaces"Geometry and Topology of Submanifolds. 10. 200-215 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigetoshi Bando: "The existence problem of Einstein-Kahler metrics : the case of positive scalar curvature"Sugaku Expositions. 14. 91-101 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kenji Fukaya: "Arnold conjecture and Gromov-Witten invariant"Topology. 38. 933-1048 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kenji Fukaya: "Floer homology and mirror symmetry II"Advanced Studies in Pure Mathematics. 34(in printing). (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Eiichi Bannai: "Some results on modular forms - Subgroups of the modular group whose ring of modular forms is a polynomial ring"Advanced Studies in Pure Mathematics. 32. 245-254 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigefumi Mori: "On a hyperplane section theorem of Gurjar"Mathematische Annalen. 319. 533-537 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Seiki Nishikawa: "Proceedings of The Fifth Pacific Rim Geometry Conference"Mathematical Institute, Tohoku University. 205 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Michael Falk: "Arrangements- Tokyo 1998, Advanced Studies in Pure Mathematics, Vol. 27"Kinokuniya Company Ltd.. 283 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Jean-Paul Brasselet: "Singularities - Sapporo 1998, Advanced Studies in Pure Mathematics, Vol.29"Kinokuniya Company Ltd.. 326 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuya Miyake: "Class Field Theory - Its Centenary and Prospect, Advanced Studies in Pure Mathematics, Vol. 30"Mathematical Society of Japan. 641 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Eiichi Bannai: "Groups and Combinatorics - in memory of Michio Suzuki, Advanced Studies in Pure Mathematics, Vol. 32"Mathematical Society of Japan. 483 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kenji Fukaya: "Minimal Surfaces, Geometric Analysis and Symplectic Geometry, Advanced Studies in Pure Mathemtics, Vol. 34"Mathematical Society of Japan (in printing). (2002)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2003-09-17  

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