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1996 Fiscal Year Final Research Report Summary

Synthetic Study of Fundamantal Mathematics

Research Project

Project/Area Number 06302001
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section総合
Research Field Algebra
Research InstitutionNagoya University

Principal Investigator

MUKAI Shigeru  Grad.School Polymath.Nagoya University Prof., 大学院多元数理科学研究科, 教授 (80115641)

Co-Investigator(Kenkyū-buntansha) SUNADA Toshikazu  Science, Tohoku Univ.Prof., 大学院理学研究科, 教授 (20022741)
ODA Tadao  Science, Tohoku Univ.Prof., 大学院理学研究科, 教授 (60022555)
KASHIWARA Masaki  RIMS,Kyoto Univ.Prof., 数理解析研究所, 教授 (60027381)
IHARA Yasutaka  RIMS,Kyoto Univ.Prof., 数理解析研究所, 教授 (70011484)
AOMOTO Kazuhiko  Grad.School Polymath.Nagoya University Prof., 大学院多元数理科学研究科, 教授 (00011495)
Project Period (FY) 1994 – 1996
KeywordsAlgebraic / CR geometry / nonlinear problems / Combinatorics random matrix / Commutative Algebra / quantum group / real singularities / vector bundle
Research Abstract

In order ot develop interdiciplinary studies and international communication in Mathematics, we made the activities listed below and have published
"Progress in Algebraic Combinatorics" and "CR Geometry and Overdetermined System" as two recent volumes of the series "Advanced Studies in Pure Mathematics".
In 1994, we held the summer school of Algebraic Combinatorics in August, which is an activity of this years Project Study of Research Institte of Math.Sci.Kyoto University. In December, we held the international symposium "CR Geometry and Overdetermind System" inviting Professor M.Kuranishi of Colimbia University. We also held the workshop of Methematical Physics at Nagoya University in February.
In 1995, Prof.Matano of Tokyo University, an investigator of our project, organized the study of "Asymptotic Method in Nolinear Problems". This year, the Graduate School of Polymathematics was inaugurated. Having the cooperation of Professors Kimura and Hasegawa of this school, we held two workshops of Applied Mathematics at Nagoya University.
In 1996, we held the international symposium of Commutative Algebra at Nagoya University, in honor of late Hideyuki Matsumura, a Professor emeritus of Nagoya University. We also held another international symposium of Real Singularity Theory in Nagoya inviting Professor Kuo. As the final activity of this project we held the workshop "Vector Bundles and Algebraic Varieties" at Kyushu University in order to bring up young algebraic geometers.

  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] 向井 茂: "Brill-Noether 理論の非可換化と3次元 Fano 多様体" 数学. 49. 1-24 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shigeru MUKAI: "Curves and aymmetric spaces, I" American Journal of Mathematics. 117. 1627-1644 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kazuhiko AOMOTO: "On a unitary version of Suzuki's formula" Journal of Mathematical Society of Japan. 48. 493-499 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masaaki YOSHIDA: "Intersection theory for twisted cycles" Mathematische Nachrichten. 166. 287-304 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masaki,KASHIWARA: "Kaahdan-Lustzig conjecture for affine Lie algebras" Duke Mathematical Journal. 84. 771-813 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kenji,FUKAYA: "Floer homology for connected sum of homology 3-she" Topology. 35. 89-136 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 坂内 英一(編): "Progress in Algebraic Combinatorics" 紀伊国屋、日本数学会, 453 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 谷島 賢二: "物理数学入門" 東京大学出版会, 344 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shigeru MUKAI: "Non-abelinization of Brill-Noether theory and 3-dimensional Fano manifold (in japanese)." Sugaku. 49. 1-24 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigeru MUKAI: "Curves and symmetric spaces, I" Amer.J.Math.117. 1627-1644 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kazuhiko AOMOTO: "On a unitary version of Suzuki's formula" J.Math.Soc.Japan. 48. 493-499 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masaaki YOSHIDA: "Intersection theory for twisted cycles" Math.Nachr.166. 287-304 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masaki KASHIWARA: "Kazhdan-Lustzig conjecture for affine Lie algebras" Duke Math.J.84. 771-813 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kenji, FUKAYA: "Floer homology for connected sum of homology 3-spheres" Topology. 35. 89-136 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Eiichi BANNAI (ed): Progress in Algebraic Combinatorics. Adv.Stud.Pure Math.vol.24, Kinokuniya, 1996

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kenji YAJIMA: Introduction to Physical Mathematics. Tokyo Univ.Press, 1994

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

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Published: 1999-03-09  

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