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Co-Operative Research Algebra that is a Foundation of Mathematical Science

Research Project

Project/Area Number 04302001
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 代数学・幾何学
Research InstitutionTohoku University

Principal Investigator

MORITA Yasuo  Tohoku University Faculty of Science, Professor, 理学部, 教授 (20011653)

Co-Investigator(Kenkyū-buntansha) TSUSHIMA Yukio  Osaka City University Faculty of Science, Professor, 理学部, 教授 (80047240)
NAKAI Yoshinobu  Yamanashi University Faculty of Education, Professor, 教育学部, 教授 (40022652)
KATO Kazuya  Tokyo Inst.of Technology Faculty of Science, Professor, 理学部, 教授 (90111450)
ODA Tadao  Tohoku University Faculty of Science, Professor, 理学部, 教授 (60022555)
HOTTA Ryoshi  Tohoku University Faculty of Science, Professor, 理学部, 教授 (70028190)
小池 正夫  広島大学, 理学部, 教授 (20022733)
土方 弘明  京都大学, 理学部, 教授 (00025298)
吉田 知行  熊本大学, 理学部, 教授 (30002265)
板内 英一  九州大学, 理学部, 教授 (10011652)
北岡 良之  名古屋大学, 理学部, 教授 (40022686)
Project Period (FY) 1992 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥31,600,000 (Direct Cost: ¥31,600,000)
Fiscal Year 1994: ¥6,200,000 (Direct Cost: ¥6,200,000)
Fiscal Year 1993: ¥13,500,000 (Direct Cost: ¥13,500,000)
Fiscal Year 1992: ¥11,900,000 (Direct Cost: ¥11,900,000)
KeywordsALGEBRA / MATHEMATICAL SCIENCE / NUMBER THEORY / GROUP THEORY / RING THEORY / ALGEBRAIC GEOMETRY / ARITHMETIC GEOMETRY / SEMI-GROUP THEORY / 組合せ論 / 表現論
Research Abstract

In this Co-operative Research Plan, we made a research organization of Japanese researchers including almost all experts in Algebra, organized or supported various meetings on various topics in Algebra, gave opportunities of Japanese Mathematicians discussing and working together on these topics.
In this way, we tried to get a common understanding of Japanese Mathematicians of what being the main issues in Algebra.
Since this is the final year of this Co-operative Research Plan, we have restricted our themes of meetings to Number Theory, Ring Theory and Theory of Semi-Group. We have supported several meetings in these fields, and we also have organized one meeting on over-all Algebra(the 39-th Symposium on Algebra).
We have collected information on results of researchers supported by this Co-operative Research Plan, and published them. We have also published the Proceedings of the 39-th Symposium on Algebra and the Proceedings of the 18-th Symposium on Semigroups, Languages and their Related Fields.

Report

(4 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • 1992 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] 森田康夫(編): "第39回代数学シンポジウム報告集" 森田康夫, 184 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Kobayashi & K.Tokizawa: "Prec.of th 18th Symposium on Semigroups,Languages and thiss Rilatid Fields" K.Tokizawa, 94 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Yasuo Morita(ed.): "Proc.of 39th Symposium on Algebra" 1-180 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Kobayashi & K.Tokizawa(eds.): "Proc.of 18th Symposiun on Semigroups, Languages and Their Related Fields" 1-91 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 森田康夫(編): "第39回代数学シンポジウム報告集" 森田康夫, 184 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Y.Kobayashi & K.Tokizawa: "Proc.of the 18^<th> Syenposium on Simigaups,Languuges and thein Retatod Fields" K.Tokizawa, 94 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 森田康夫: "Distribution of rational points on hyperelliptic surfaces" Tohoku Math.J.44. 345-358 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小田忠雄: "The algebraic de Rham theorem for toric varieties" Tohoku Math.J.45. 231-247 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 土方弘明: "Representatrms of quaternim algebras over local fields and trace formula of Hecke operators" J.of Number Theory. 43. 123-167 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 中井喜信: "Discrepancy estimates of a class of normal numbers" Acta Arith.62-3. 271-284 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小池正夫: "Istlugonal matrices obtained from hypergeometric series over finite fields and elliptic unaes over finite fields" (出版予定).

    • Related Report
      1993 Annual Research Report
  • [Publications] 白谷克巳: "On pradic zeta functions of the Lubin-Tat groups" Mon.Fac.Sci.,Kyushu Univ.47. 1-8 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 森田康夫(編): "第38回代数学シンポジウム報告集" 森田康夫, 188 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 吉田知行: "群論とその周辺シンポジウム報告集" 吉田知行, 218 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Yasuo Morita: "Distrubution of rational points on hyperelliptic surfaces" Tohoku Math.J.44. 345-358 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Eiichi Bannai: "Modular invariance of the character table of the Hamming association scheme H(d,q)" J.of Number Theory.

    • Related Report
      1992 Annual Research Report
  • [Publications] Tomoyuki Toshida: "P.Hall's strange formula for abelian p-groups" Psaka Journal of Mathematics.

    • Related Report
      1992 Annual Research Report
  • [Publications] Ryoshi Hotta: "Equivalens D-modules" Proc.OCPAM Wuhan Spring School,Hermann,Paris(to appear).

    • Related Report
      1992 Annual Research Report
  • [Publications] Tadao Oda: "The algebraic de Rham theorem for toric varieties" Tohoku Math.J.

    • Related Report
      1992 Annual Research Report
  • [Publications] Tomoyoshi Ibukiyama: "On zeta functions associated to symmetric mathrices and explicit conjecture on dimensions of siegel modular forms of general degree" Duke Math.J.67. 161-169 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 森田 康夫(編): "第37回代数学シンポジウム報告集" 森田 康夫, 336 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 坂内 英一(編): "第10回代数的組合せ論シンポジウム報告集" 坂内 英一, 222 (1993)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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