Research on Fundamental Mathematical Sciences

该项目的主要目的是继续和促进基础数学科学的研究。正如1990年在日本京都举行的国际数学会议上所看到的那样，最近的趋势是受到物理、生物和工程等数学科学其他领域的激励和强大推动。在这种情况下，纯数学现有的领域正处于重组的过程中。这个项目顺应了这一趋势，推动了重组。为了营造良好的环境，我们集中开展了以下活动。支持数学科学研究所“无穷分析”、“非线性现象研究”、“数论与模”等科研项目。支持“均匀化与超几何积分”、“光谱散射理论”、“量子分析”、“代数组合学”、“全局几何”等国际会议。支持“信息科学数学基础”等国内会议。《纯数学高级研究》作为几个重要会议的论文集出版。

The main purpose of this project was to continue and promote the research of fundamental mathematical aciences. As was seen in International Conference of Mathematics heid at Kyoto in 1990, the recent trend in mathematics is to have motivation and strong impetus from other fields in mathematical sciences including physics, biology and engeneering. Under this circumstance, the existing fields in pure mathematics is in the process of reorganization. This project has taken up this trend and promoted the reorganization. To establish a favorable environment, we made intensively the following activities.1. Backing up the research projects in Research Institute of Mathematical Sciences including "Infinite Analysis", "Research on Nonlinear Phenomena" and "Number Theory and Moduli".2. Supporting the international conferences including "Uniformization and Hypergeometric Integrals", "Spectral Scattering Theory", "Quantum Analysis", Algebraic Combinatorics" and "Global Geometry".3. Supporting the domestic conferences including "Mathematical Foundation of Information Science".4. Publication of Advanced Studies in Pure Mathematics as Proceedings of several important meetings.