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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)
岡本 清郷  広島大学, 理学部, 教授 (60028115)
Project Period (FY) 1988 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥15,100,000 (Direct Cost: ¥15,100,000)
Fiscal Year 1990: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1989: ¥6,100,000 (Direct Cost: ¥6,100,000)
Fiscal Year 1988: ¥6,000,000 (Direct Cost: ¥6,000,000)
KeywordsKahler geometry / moduli / zata function / topology / number theory / scattering / conformal field theory / statistical mechanics / 数論 / 関数解析 / スペクトル / Manifolds / 組合せ論 / 不変式 / Zeta / 関数 / Spectrum / Advanced Studies in Pure Mathematics
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.

Report

(4 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • 1988 Annual Research Report
  • Research Products

    (39 results)

All Other

All Publications (39 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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Kazuhiko AOMOTO: "Special values of hyperlogarithms and linear difference shemes" Illinois J.Math.34. 191-216 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Yukio MATSMOTO: "Casson's invariant of Seifert homology 3ーspheres" Math.Ann.287. 275-285 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Masaaki YOSHIDA: "Tensor products of linear differential equations II" Funkcial.Ekvac. 33. 527-549 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Kenji YAJIMA: "Some examples of smooth operators and the associated smoothing effect" Rev.Math.Phys.1. 481-196 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Minoru MURATA: "Martin compactification and asymptotics of Green functions for Schrodinger operators with anisotropic potentials" Math.Ann.288. 211-230 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Kiyoshi MOCHIZUKI: "Oneーdimensional twoーphase porous flow equations" Japan J.Appl.Math.7. 277-300 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 松村 英之: "代数学" 朝倉書店, 203 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 浦川 肇: "変分法と調和写像" 裳華房, 292 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Kazuhiko AOMOTO: "Self-adjointness and limit pointness for adjacency operators on a tree." Journal d´Analyse Math.52. 1-14 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Kobayashi: "Periodic Schrodinger operators on a manifold." Forum Math.1. 69-79 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Atsushi KATSUDA: "Dynamical L-functions and homology of closed orbits." Bull.Amer.Math.Soc.20. 73-77 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Masayoshi NAGATA: "Some remarks on the two-dimensional Jacobian Conjecture." Chinese J.of Math.17. 1-7 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Yasutaka IHARA: "Braids,Galois groups and arithmetic functions." Proc.of the Intern.Congress of Mathematicians. (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] Shingo MURAKAMI: "Exceptional simple Lie groups F_4 and spin representations." Proc.of the Intern.Conf.in Algebra held at Novosibirsk,USSR,August 21-26.1990.

    • Related Report
      1989 Annual Research Report
  • [Publications] S.FUKUHARA: "Casson´s invariant of seifert homology 3-spheres." Math.Ann.

    • Related Report
      1989 Annual Research Report
  • [Publications] S.FUKUHARA: "An estimate for the unknotting numbers of torus knots." Topology & its Applications.

    • Related Report
      1989 Annual Research Report
  • [Publications] Tadao ODA: "Geometry of toric varieties." Proc.Intern.Conf.on Algebraic Groups and Applications.

    • Related Report
      1989 Annual Research Report
  • [Publications] Tadao ODA: "Introduction to Algebraic Singularities." Lecture Notes 2,The Institute of Mathematical Sciences,Madras.

    • Related Report
      1989 Annual Research Report
  • [Publications] Masaki KASHIWARA.: Advanced Studies in Pure Mathematics. 14. 369-378 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Hideo DIO.: Advanced Studies in Pure Mathematics. 14. 379-393 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Toshio OSHIMA.: Advanced Studies in Pure Mathematics. 14. 561-601 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Kazuhiko AOMOTO.: Proc.J.Acad. Ser.A. 64. 123-125 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Atsusi KATSUDA.: Bull.A.M.S.20. 73-77 (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] Hisashi MORIKAWA.: Nagoya Mathematical Journal. 113. 153-159 (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] 砂田利一: "基本群とラプラシアン-幾何学における数論的方法-" 紀伊国屋書店, 218 (1988)

    • Related Report
      1988 Annual Research Report

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Published: 1988-04-01   Modified: 2016-04-21  

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