• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

2006 Fiscal Year Final Research Report Summary

Development of Unexplored Mathematics and Enhancement of Research Publication

Research Project

Project/Area Number 15204003
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) BANNAI Eiichi  Kyushu University, Graduate School of Mathematics, Professor, 大学院数理学研究院, 教授 (10011652)
KOHNO Toshitake  University of Tokyo, Graduate School of Mathematical Sciences, Professor, 大学院数理科学研究科, 教授 (80144111)
TANISAKI Toshiyuki  Osaka City University, Graduate School of Science, Professor, 大学院理学研究科, 教授 (70142916)
ARAI Hitoshi  University of Tokyo, Graduate School of Mathematical Sciences, Professor, 大学院数理科学研究科, 教授 (10175953)
GUEST Martin  Tokyo Metropolitan University, Department of Mathematics and Information Sciences, Professor, 都市教養学部, 教授 (10295470)
Project Period (FY) 2003 – 2006
KeywordsAdvanced Studies in Pure Mathematics / Unexplored mathematics / Digital publication / Electronic journal / Differential geometry / Geometric analysis
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 laying the foundation of research on unexplored mathematics. 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 achievements in sophisticated form.
As its outcomes, four international conferences and two workshops were organized and accomplished with great success, and the following twelve proceedings of international conferences were edited and published.
A.International Conferences :
(1)Workshop on Differential Geometry, held at Taikanso, Matsushima in March,2004.
(2)Workshop on Geometric Analysis, held at Tohoku University in February,2005.
(3)Differential Geometry, Sendai 2006, held at Tohoku University in February,2006.
(4)Geometric Analysis, Sendai 2007, held at Sendai International Center in January,2007.
B.Wo … More rkshops :
(1)Workshop on Project Euclid, Tohoku University in January,2004.
(2)Open Forum on Digital Publication and Digital Library, Tohoku University in January,2005.
C.Proceedings :
(1)Higher Dimensional Birational Geometry, ASPM Vol.35.
(2)Algebraic Geometry 2000,Azumino, ASPM Vol.36.
(3)Lie Groups, Geometric Structures and Differential Equations-One Hundred Years after Sophus Lie-ASPM Vol.37.
(4)Operator Algebras and Applications, ASPM Vol.38.
(5)Stochastic Analysis on Large Scale Interacting Systems, ASPM Vol.39.
(6)Representation Theory of Algebraic Groups and Quantum Groups, ASPM Vol.40.
(7)Stochastic Analysis and Related Topics in Kyoto, ASPM Vol.41.
(8)Complex Analysis in Several Variables-Memorial Conference of Kiyoshi Oka's Centennial Birthday Kyoto/Nara 2001,ASPM Vol.42.
(9)Singularity Theory and Its Applications, ASPM Vol.43.
(10)Potential Theory in Matsue, ASPM Vol.44.
(11)Moduli Spaces and Arithmetic Geometry (Kyoto,2004), ASPM Vol.45.
(12)Singularities in Geometry and Topology 2004,ASPM Vol.46.
(13)Mathematics in the 21st Century, Unsealed Peaks of Geometry,2004. Less

  • Research Products

    (10 results)

All 2006 2005 2004

All Journal Article (9 results) Book (1 results)

  • [Journal Article] Tight Gaussian 4-designs2005

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Journal of Algebraic Combinatorics 22

      Pages: 39-63

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] The Bellinson-Bernstein correspondence for quantized enveloping algebras2005

    • Author(s)
      Toshiyuki Tanisaki
    • Journal Title

      Mathematische Zeitschrift 250

      Pages: 299-361

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Quantum cohomology via D-modules2005

    • Author(s)
      Martin Guest
    • Journal Title

      Topology 44

      Pages: 263-281

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations2005

    • Author(s)
      Ki-ichiro Hashimoto
    • Journal Title

      Mathematics of Computation 74

      Pages: 1519-1630

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A nonlinear model of visual information processing based on discrete maximal wavelets2005

    • Author(s)
      Hitoshi Arai
    • Journal Title

      Interdisciplinary Information Sciences 11

      Pages: 177-190

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Harmonic maps in complex Finsler geometry2004

    • Author(s)
      Seiki Nishikawa
    • Journal Title

      Progress in Nonlinear Differential Equations and Their Applications 59

      Pages: 113-132

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Braids, hypergeometric integrals and conformal field theory2004

    • Author(s)
      Toshitake Kohno
    • Journal Title

      Proceedings of the First East Asian School of Knots, Links and Related Topics

      Pages: 127-137

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Bounds for curves in abelian varieties2004

    • Author(s)
      Junjiro Noguchi
    • Journal Title

      Journal fiir Reine und Angewante Mathematik 572

      Pages: 27-47

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Numerical characterizations of hyperquadrics2004

    • Author(s)
      Yoichi Miyaoka
    • Journal Title

      Advanced Studies in Pure Mathematics 42

      Pages: 209- 235

    • Description
      「研究成果報告書概要(欧文)」より
  • [Book] 幾何学的変分問題2006

    • Author(s)
      西川 青季
    • Total Pages
      220
    • Publisher
      岩波書店
    • Description
      「研究成果報告書概要(和文)」より

URL: 

Published: 2008-05-27  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi