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

合作研究作为数学科学基础的代数

• 批准号: 04302001
• 负责人: MORITA Yasuo
• 金额: $ 20.22万
• 依托单位: Tohoku University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Co-operative Research (A)
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1994
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04302001/
• 关键词: ALGEBRA; MATHEMATICAL SCIENCE; NUMBER THEORY; GROUP THEORY; RING THEORY; ALGEBRAIC GEOMETRY; ARITHMETIC GEOMETRY; SEMI-GROUP THEORY; 組合せ論; 表現論

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.

在这个合作研究计划中，我们建立了一个日本研究人员的研究组织，几乎囊括了所有代数领域的专家，组织或支持各种代数主题的会议，给日本数学家提供讨论和合作的机会。通过这种方式，我们试图让日本数学家对代数中的主要问题有一个共同的理解。由于今年是该合作研究计划的最后一年，我们将会议的主题限制在数论、环理论和半群理论。我们支持了这些领域的几次会议，我们还组织了一次关于全面代数的会议（第39届代数研讨会）。我们收集了本合作研究计划支持的研究人员的研究结果，并将其发表。我们还发表了第39届代数学术研讨会论文集和第18届半群、语言及其相关领域学术研讨会论文集。

项目成果

小池正夫: "Istlugonal matrices obtained from hypergeometric series over finite fields and elliptic unaes over finite fields" (出版予定).

Masao Koike：“从有限域上的超几何级数和有限域上的椭圆方程获得的 Islugonal 矩阵”（即将出版）。

Tomoyuki Toshida: "P.Hall's strange formula for abelian p-groups" Psaka Journal of Mathematics.

Tomoyuki Toshida：“P.Hall 的阿贝尔 p 群的奇怪公式”Psaka Journal of Mathematics。

森田康夫: "Distribution of rational points on hyperelliptic surfaces" Tohoku Math.J.44. 345-358 (1992)

Yasuo Morita：“超椭圆面上有理点的分布”Tohoku Math.J.44 (1992)。

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)

Hiroaki Hijikata：“局部域上的四元代数的表示和 Hecke 算子的迹公式”J.of Number Theory 43. 123-167 (1993)。

Ryoshi Hotta: "Equivalens D-modules" Proc.OCPAM Wuhan Spring School,Hermann,Paris(to appear).

Ryoshi Hotta：“Equivalens D-modules”Proc.OCPAM 武汉春季学校，赫尔曼，巴黎（待出现）。