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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)
野口 潤次郎  東京大学, 大学院数理科学研究科, 教授 (20033920)
橋本 喜一朗  早稲田大学, 理工学部, 教授 (90143370)
Project Period (FY) 2003 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥45,240,000 (Direct Cost: ¥34,800,000、Indirect Cost: ¥10,440,000)
Fiscal Year 2006: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2005: ¥11,050,000 (Direct Cost: ¥8,500,000、Indirect Cost: ¥2,550,000)
Fiscal Year 2004: ¥10,270,000 (Direct Cost: ¥7,900,000、Indirect Cost: ¥2,370,000)
Fiscal Year 2003: ¥12,220,000 (Direct Cost: ¥9,400,000、Indirect Cost: ¥2,820,000)
KeywordsAdvanced Studies in Pure Mathematics / Unexplored mathematics / Digital publication / Electronic journal / Differential geometry / Geometric analysis / 未解決問題 / 情報発信 / クラスファイル / 特異点論 / フィンスラー幾何学 / 部分多様体論 / デジタル化 / 幾何学シンポジウム / 幾何解析学 / 遡及的デジタル化 / デジタル図書館 / 調和写像 / フィンスラー多様体 / 微分幾何学シンポジウム
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

Report

(5 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (34 results)

All 2007 2006 2005 2004 Other

All Journal Article (24 results) Book (3 results) Publications (7 results)

  • [Journal Article] The volume of a hyperbolic simplex and iterated integrals2007

    • Author(s)
      Toshitake Kohno
    • Journal Title

      Jounal of Knot Theory and Its Ramifications 特別号(印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On primitive symmetric association schemes with m_1=32006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Contributions to Discrete Mathematics 1

      Pages: 68-79

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On Euclidean tight 4-designs2006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Journal of Mathematical Society of Japan 58

      Pages: 225-264

    • NAID

      10018381112

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On the realization of orbit closures as support varieties2006

    • Author(s)
      Toshiyuki Tanisaki, Daniel Nakano
    • Journal Title

      Journal of Pure and Applied Algebra 206

      Pages: 66-82

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Introduction to homological geometry, I2006

    • Author(s)
      Martin Guest
    • Journal Title

      Integrable systems, geometry, and topology, AMS/IP Studies of Advanced Mathematics, American Mathematical Society 36

      Pages: 83-121

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Introduction to homological geometry, II2006

    • Author(s)
      Martin Guest
    • Journal Title

      Integrable systems, geometry, and topology, AMS/IP Studies of Advanced Mathematics, American Mathematical Society 36

      Pages: 123-150

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On optimal tight 4-designs on 2 concentric spheres2006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Europian Journal of Combinatorics 27

      Pages: 179-192

    • Related Report
      2005 Annual Research Report
  • [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
    • Related Report
      2006 Final Research Report Summary
  • [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
    • Related Report
      2006 Final Research Report Summary
  • [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
    • Related Report
      2006 Final Research Report Summary 2005 Annual Research Report
  • [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
    • Related Report
      2006 Final Research Report Summary
  • [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
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A note on the spherical embeddings of strongly regular graphs2005

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Europian Journal of Combinatorics 26

      Pages: 1177-1179

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Tight Gaussian 4-designs2005

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Journal of Algebraic Combinatorics 22

      Pages: 39-63

    • Related Report
      2005 Annual Research Report
  • [Journal Article] The Beilinson-Bernstein correspondence for quantized enveloping Algebras2005

    • Author(s)
      Toshiyuki Tanisaki
    • Journal Title

      Mathematische Zeitschrift 250

      Pages: 299-361

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A note on entire pseudo-holomorphic curves and the proof of Cartan-Nochka's theorem2005

    • Author(s)
      Junjiro Noguchi
    • Journal Title

      Kodai Mathematical Journal 28

      Pages: 336-346

    • Related Report
      2005 Annual Research Report
  • [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
    • Related Report
      2006 Final Research Report Summary 2004 Annual Research Report
  • [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
    • Related Report
      2006 Final Research Report Summary 2004 Annual Research Report
  • [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
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Numerical characterizations of hyperquadrics2004

    • Author(s)
      Yoichi Miyaoka
    • Journal Title

      Advanced Studies in Pure Mathematics 42

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Foliated CR manifolds2004

    • Author(s)
      S.Dragomir, Seiki Nishikawa
    • Journal Title

      Journal of the Mathematical Society of Japan 56・4

      Pages: 1031-1068

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Finite analogues of non-Euclidean spaces and Ramanujan graphs2004

    • Author(s)
      Eiichi Bannai, O.Shimabukuro, H.Tanaka
    • Journal Title

      European Journal of Combinatorics 25・2

      Pages: 243-259

    • Related Report
      2004 Annual Research Report
  • [Journal Article] The nonexistence of certain tight spherical designs2004

    • Author(s)
      Eiichi Bannai, A.Munemasa, B.Vencov
    • Journal Title

      Algebra i Analiz 16・4

      Pages: 1-23

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Character formulas of Kazhdan-Lusztig type2004

    • Author(s)
      Toshiyuki Tanisaki
    • Journal Title

      Fields Institute Communications 40

      Pages: 261-276

    • Related Report
      2004 Annual Research Report
  • [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
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Book] 反復積分の幾何学2006

    • Author(s)
      河野 俊丈
    • Total Pages
      250
    • Publisher
      シュプリンガー・フェアラーク東京
    • Related Report
      2005 Annual Research Report
  • [Book] Advanced Studies in Pure Mathematics Vol.42, Complex Analysis in Several Variables2004

    • Author(s)
      Junjiro Noguchi et al.
    • Total Pages
      345
    • Publisher
      Mathematical Society of Japan
    • Related Report
      2004 Annual Research Report
  • [Publications] Seiki Nishikawa: "Harmonic maps and homogeneous manifolds of negative curvature : An invitation to geometric analysis"Sugaku Expositions. 16・2. 177-190 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Seiki Nishikawa: "Harmonic maps in complex Finsler geometry"Geometric Variational Problems ; Bubbles, Sans and Geometric Flows. (発表予定). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Eiichi Bannai: "The decomposition of the permutation character $1_{GL(n,q 2)} {GL(2n,q)}$"Journal of Algebra. 265・4. 496-512 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] C.Bachoc, Eiichi Bannai, R.Coulangeon: "Codes and designs in Grassmannian spaces"Discrete Mathematics. (発表予定). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] F.R.Cohen, Toshitake Kohno, M.A.Xicotencatl: "Orbit configuration spaces associated to discrete subgroups of PSL (2,R)"International Mathematical Research Notices. (発表予定). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] C.Marastoni, Toshiyuki Tanisaki: "Radon transforms for quasi-equivariant D-modules on generalized flag manifolds"Differential geometry and its applications. 18・2. 147-176 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Kiichiro Hashimoto, H.Nakamura: "Galois Theory and Modular Forms"Kluwer Academic Publisher. 520 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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