Synthetic Study of Fundamantal Mathematics

为了开展数学学科间的研究和国际交流，我们开展了下列活动，并出版了《代数组合学的进展》和《CR几何与超定系统》，作为《纯数学高级研究》丛书的两卷。1994年8月，我们举办了代数组合学暑期班。这是京都大学数学科学研究所今年的一项研究活动。12月，我们邀请哥伦比亚大学M.Kuranishi教授举办了国际研讨会“CR几何和超定系统”。2月在名古屋大学举办了数学物理学研讨会。1995年，本课题的研究者、东京大学的又野教授组织了“非线性问题中的渐近方法”的研究。这一年，数学研究生院成立。我们与本校的木村教授和长谷川教授合作，在名古屋大学举办了两次应用数学研讨会。1996年，我们在名古屋大学举办了交换代数国际研讨会，以荣誉已故名古屋大学名誉教授松村秀之。我们还邀请郭教授在名古屋举办了另一次真实的奇点理论国际研讨会。作为该项目的最后一项活动，我们在九州大学举办了“矢量丛和代数变种”研讨会，以培养年轻的代数几何学家。

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.