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1990 Fiscal Year Final Research Report Summary

Advanced Studies in Pure Mathematics

Research Project

Project/Area Number 63302005
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) SUNADA Toshikazu  Nagoya Univ. Sci. Professor, 理学部, 教授 (20022741)
MATSUMOTO Yukio  Univ. of Tokyo Sci. Professor, 理学部, 教授 (20011637)
ODA Tadao  Tohoku Univ. Sci. Professor, 理学部, 教授 (60022555)
NAGATA Masayoshi  Okayama Univ. of Sci. Sci. Professor, 理学部, 教授 (00025230)
IHARA Yasutaka  Kyoto Univ. RIMS Professor, 数理解析研究所, 教授 (70011484)
Project Period (FY) 1988 – 1990
KeywordsKahler geometry / moduli / zata function / topology / number theory / scattering / conformal field theory / statistical mechanics
Research Abstract

The purpose of this project is the first step of The big project on Advanced Studies in Pure Mathematics in Japan, with efforts to obtain government approval for establishing a new institute for Advanced Studies. At such times as this comes into being, the activities will be transferred theoreto. This project is also to activate Japanese mathematical researches of different branches and publish their results in proceedings.
Proceedings of Symposia in this project are published from Kinokuniya and Academic Press.
Vo1.13 : Investigations in Number Theory, Ed. by T. Kubota.
Vo1.14 : Representations of Lie Groups, ed. by K. Okamoto and T. Oshima.
Vo1.15 : Automorphic Forms and Geometry of Arithmetic Varieties, Ed. by K. Hashimoto and Y. Namikawa.
Vo1.16 : Conformal Field Theory and Solvable Lattice Models, Ed. by M. Jimbo, T. Miwa and A. Tsuchiya.
Vo1.17 : Algebraic Number Theory - in honor of K. Iwasawa, Ed. by J. Coates, R. Greenberg, B. Mazur and I. Satake.
Vo1.18-I : Recent Topics in Differential Geometry and Analytic Geometry, Ed. by T. Ochiai.
Vo1.18-II : Kahler Metrics and Muduli Spaces, Ed. by T. Ochiai
Vo1.19 : Integrable Systems in Quantum Field Theory and Statistical Mechanics, Ed. by M. Jimbo, T. Miwa and A. Tsuchiya.

  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] Kazuhiko AOMOTO: "Special values of hyperlogarithms and linear difference shemes" Illinois J.Math.34. 191-216 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yukio MATSMOTO: "Casson's invariant of Seifert homology 3‐spheres" Math.Ann.287. 275-285 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masaaki YOSHIDA: "Tensor products of linear differential equations II" Funkcial.Ekvac. 33. 527-549 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kenji YAJIMA: "Some examples of smooth operators and the associated smoothing effect" Rev.Math.Phys.1. 481-196 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Minoru MURATA: "Martin compactification and asymptotics of Green functions for Schrodinger operators with anisotropic potentials" Math.Ann.288. 211-230 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kiyoshi MOCHIZUKI: "One‐dimensional two‐phase porous flow equations" Japan J.Appl.Math.7. 277-300 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 松村 英之: "代数学" 朝倉書店, 203 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 浦川 肇: "変分法と調和写像" 裳華房, 292 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kazuhiko AOMOTO: "Special values of hyperlogarithms and linear difference schemes" I11inois J. Math.34. 191-216 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yukiko MATSUMOTO: "Casson's invariant of Seifert homology 3-spheres" Math. Ann.287. 275-285 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masaki YOSHIDA: "Tensor products of linear differential equations II" Funkcial. Ekvac. 33. 527-549 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kenji YAJIMA: "Some examples of smooth operators and the associated smoothing effect" Rev. Math. Phys.1. 481-196 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Minoru MURATA: "Martin compactification and asymptotics of Green functions for Schrodinger operators with anisotropic potentials" Math. Ann.288. 211-230 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kiyosi MOCHIZUKI: "One-dimensional two-phase porous flow equations" Japan J. Appl. Math.7. 277-300 (1990)

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

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Published: 1993-08-12  

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