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1993 Fiscal Year Final Research Report Summary

Research on Fundamental Mathematical Sciences

Research Project

Project/Area Number 03302006
Research Category

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

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionNagoya University

Principal Investigator

AOMOTO Kazuhiko  Nagoya Univ.Sci.Professor, 理学部, 教授 (00011495)

Co-Investigator(Kenkyū-buntansha) MUKAI Shigeru  Nagoya Univ.Sci.Professor, 理学部, 教授 (80115641)
MORITA Shigeyuki  Tokyo Inst.of Tech.Sci.Professor, 理学部, 教授 (70011674)
SUNADA Toshikazu  Tohoku Univ.Sci.Professor, 理学部, 教授 (20022741)
HASHIHARA Masaki  Kyoto Univ.RIMS Professor, 数理解析研究所, 教授 (60027381)
IHARA Yasutaka  Kyoto Univ.RIMS Professor, 数理解析研究所, 教授 (70011484)
Project Period (FY) 1991 – 1993
KeywordsMathematical Sciences / Infinite Analysis / Algebraic Combinatories / Quantum Analysis / Information Science / Non-linear Analysis
Research Abstract

The main purpose of this project was to continue and promote the research of fundamental mathematical aciences. As was seen in International Conference of Mathematics heid at Kyoto in 1990, the recent trend in mathematics is to have motivation and strong impetus from other fields in mathematical sciences including physics, biology and engeneering. Under this circumstance, the existing fields in pure mathematics is in the process of reorganization. This project has taken up this trend and promoted the reorganization. To establish a favorable environment, we made intensively the following activities.
1. Backing up the research projects in Research Institute of Mathematical Sciences including "Infinite Analysis", "Research on Nonlinear Phenomena" and "Number Theory and Moduli".
2. Supporting the international conferences including "Uniformization and Hypergeometric Integrals", "Spectral Scattering Theory", "Quantum Analysis", Algebraic Combinatorics" and "Global Geometry".
3. Supporting the domestic conferences including "Mathematical Foundation of Information Science".
4. Publication of Advanced Studies in Pure Mathematics as Proceedings of several important meetings.

  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] Kazuhiko AOMOTO: "Gauss decompsition of connection matrices and application to Yang-Baxter equations,I." Proc.Japan Acad.89. 238-242 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masaki KASHIHARA: "Global crystal bases of quantum groups" Duke Math.J.69. 455-485 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Toshikazu SUNADA: "On the spectrum of gauge-periodic elliptic operators" Asterisque. 20. 65-74 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shigeyuki MORITA: "The extension of Johnson's homomorphism from the Torelli group to the mapping class group" Invent.Math.111. 197-224 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shigeru MUKAI: "Curves and Grassmannians" Algebraic geometry and related topics. (to appear). (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tadao ODA: "The algebraic de Rham theorem for toric varieties" Tohoku Math.J.45. 231-247 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masaaki YOSHIDA et al.: "From Gauss to Painleve-A modern theory of special functions" Vieweg Verlag, 347 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 谷島賢二: "数理物理学入門" 東京大学出版会(3月出版予定), (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kazuhiko AOMOTO: "Gauss decompsition of connection matrices and a-plication to Yang-Baxter equations, I" Proc.Japan Acad.89. 238-242 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masaki KASHIHARA: "Global crystal bases of quantum groups" Duke Math.J.69. 455-485 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Toshikazu KUNADA: "On the spectrum of gaugeperiodic elliptic operators" Asterisque. 20. 65-74 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigeyuki MORITA: "The extention of Johnson's homomorphism from the Torelli group to the mapping class group" Invent.Math.111. 197-224 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigeru MUKAI: "Curves and Grassmannians" Algebraic geometry and related topics to appear. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tadao ODA: "The algebraic de Pham theorem for toric varieties" Tohoku Math.J.45. 231-247 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masaaki YOSHIDA et al.: From Gauss to Painleve - A modern theory of special functions. Vieweg Verlag, 347 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kenji YAJIMA: Introduction to Mathematical Physics (in Japan). Univ.of Tokyo Pub. (in press), (1994)

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

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Published: 1995-03-27  

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