Advanced Studies in Pure Mathematics

纯数学高级研究

• 批准号: 63302005
• 负责人: AOMOTO Kazuhiko
• 金额: $ 9.66万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Co-operative Research (A)
• 财政年份: 1988
• 资助国家: 日本
• 起止时间: 1988 至 1990
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-63302005/
• 关键词: Kahler 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

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. OchiaiVo1.19 : Integrable Systems in Quantum Field Theory and Statistical Mechanics, Ed. by M. Jimbo, T. Miwa and A. Tsuchiya.

该项目的目的是日本纯数学高等研究大项目的第一步，努力获得政府批准建立一个新的高等研究所。在这种情况下，活动将转移到理论上。本项目的目的是促进日本各学科的数学研究，并将其成果发表在论文集上。本项目的论文集由Kinokuniya和Academic Press出版。Kubota.Vo1.14：李群的表示，K. Okamoto和T.第15卷：算术变体的自守形式和几何，K。Hashimoto和Y.共形场论与可解格点模型，编。Jimbo，T. Miwa和A.代数数论-以荣誉K. Iwasawa，Ed. by J.科茨，R.格林伯格，B。马祖尔和我。微分几何与解析几何的最新课题。第18卷-II：Kahler空间和Muduli空间，T.量子场论与统计力学中的可积系统。Jimbo，T. Miwa和A.土屋

项目成果

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.

Shingo MURAKAMI：“出色的简单李群 F_4 和自旋表示。”

Tadao ODA: "Geometry of toric varieties." Proc.Intern.Conf.on Algebraic Groups and Applications.

Tadao ODA：“复曲面品种的几何形状。”

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)

Toshikazu Sunada：“几何中的基本群和拉普拉斯算术方法”纪伊国屋书店，218（1988）

Kazuhiko AOMOTO: "Self-adjointness and limit pointness for adjacency operators on a tree." Journal d´Analyse Math.52. 1-14 (1989)

Kazuhiko AOMOTO：“树上邻接算子的自伴性和极限指向性。” Journal d´Analyse Math.52 (1989)。

Minoru MURATA: "Martin compactification and asymptotics of Green functions for Schrodinger operators with anisotropic potentials" Math.Ann.288. 211-230 (1990)

Minoru MURATA：“具有各向异性势的薛定谔算子的格林函数的马丁紧化和渐近”Math.Ann.288。