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1996 Fiscal Year Final Research Report Summary

Mathematics on manifolds

Research Project

Project/Area Number 07304059
Research Category

Grant-in-Aid for Scientific Research (A)

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

Principal Investigator

ODA Tadao  Tohoku University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (60022555)

Co-Investigator(Kenkyū-buntansha) MIYANISHI Masayoshi  Osaka University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (80025311)
MASAKI Maruyama  Kyoto University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (50025459)
HIJIKATA Hiroaki  Kyoto University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (00025298)
SHIODA Tetsuji  Rikkyo University, Faculty of Science, Professor, 理学部, 教授 (00011627)
SUNADA Toshikazu  Tohoku University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (20022741)
Project Period (FY) 1995 – 1996
Keywordsalgebraic geometry / arithmetic geometry / analytic geometry / toric geometry / logarithmic geometry / lattice model / category / global analysis on graphs
Research Abstract

Through close contact and discussion among the investigators, comprehensive study was made on various problems on manifolds mainly from algebraic perspective, but with enough consideration made of methods and perspective in geometry and analysis.
The following symposia and workshops were organized to discuss results obtained around the investigators on algebraic geometry, arithmetic geometry, analytic geometry, toric geometry, logarithmic geometry, lattice models, Hecke algebras, singularities, knots, category, global analysis on graphs, etc.
1.Algebraic Geometry Symposium (January 16-19,1996, Kawai Hall, Tohoku University).
2.Workshop on Solvable Lattice Models and Hecke Algebras (January 16-19,1996, Mathematical Institute, Tohoku University).
3.Workshop on Algebraic Geometry and Topology of Degenerations, Singularities and Coverings (February 10-13,1996, Faculty of Engineering, Tohoku Gakuin University).
4.Symposium on Hodge Theory and Algebraic Geometry (June 18-21,1996, Kawai Hall, Tohoku University).
5.Symposium on Cathegorical Methods and Non-Classical Logics (July 15-17,1996, Kawai Hall, Tohoku University).
6.Symposium on Geometric Spectral Problems (September 5-7,1996, Mathematical Institute, Tohoku University).
7.Mini-workshop on Log Geometry (October 30- November 1, Mathematical Institute, Tohoku University).

  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] Tadao ODA: "Recent topics on toric Varieties" Amer.Math.Soc.Transl.(2). 172. 77-91 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tetsuji SHIODA: "A uniform construction of the root latlices E_6,E_7,E_8 dusl latlias and their" Proc.Japan Acad.71. 140-143 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Hiroaki HIJIKATA: "On the decomposition of latlices over orders" J.Math.soc.Japan. (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masayoshi MIYANISHI: "Recent topics on open algebraic surfaces" Amer.Moth.Soc.Trausl.(2). 172. 61-76 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masaki MARUYAMA: "Instantons and parabolei sheaves" Rroc.Infery.Collog.on Geometry and Aualysio. 245-268 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kenji UENO: "Neron-Severi groups for torus guasi bundles over curols" Lechure Nofes in Pure and Appl.Math.179. 11-32 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.SUNADA and P.W.SY: "Geometry and Aualysis on Graphs" Cambridge University Press(発行予定), 250

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tadao ODA: "Recent topics on touric varieties." Amer.Math.Soc.Transl.(2), 172. 77-91 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tetsuji SHIODA: "A uniform construction of the root lattices E_6, E_7, E_8 and their dual lattices." Proc.Japan Acad.71. 140-143 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hiroaki HIJIKATA: "On the decomposition of lattices over orders." J.Math.Soc.Japan.(to appear.).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masayoshi MIYANISHI: "Recent topics on open algebraic surfaces." Amer.Math.Soc.Transl.(2), 172. 61-76 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masaki MARUYAMA: "Instantons and parabolic sheaves." Proc.Intern.Colloq.on Geoemtry and Analysis. 245-268 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kenji UENO: "Neron-Severi groups for torus quasi bundles over curves." Lecture Notes in Pure and Appl.Math.179. 11-32 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Toshikazu SUNADA and P.W.SY.: "Geometry and Analysis on Graphs." Cambridge Univ.Press. (to appear.). 250

    • 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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