Mathematical Sciences: NSF-CBMS-Regional Conference on Kaehler Geometry and Several Complex Variables; July, 1988

数学科学：NSF-CBMS-凯勒几何和多个复变量区域会议；

• 批准号: 8714091
• 负责人: Patrick Coulton
• 金额: $ 1.53万
• 依托单位: Eastern Illinois University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-01-01 至 1989-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8714091&HistoricalAwards=false
• 关键词: Mathematical; Sciences; NSF; CBMS; Regional; Mathematical; Sciences; NSF; CBMS; Regional

One of the most beautiful results in the theory of complex analysis is the Riemann mapping theorem, which states that any simply connected open region in the plane is biholomorphic to the complex plane or to the open ball. In passing from analysis of one complex variable to several complex variables the situation becomes much more involved. In fact, a uniformization theorem like the Riemann mapping theorem is not possible. Riemann surfaces (surfaces with a complex structure) can be given a natural Kaehler structure, while higher dimensional complex manifolds need not be Kaehler. It is natural then, in some sense, to study uniformization theorems for Kaehler manifolds. The object of this conference will be to review work in this area, to discuss some recent results (as yet unpublished), and to lay the ground work for more activity in the future. Professor Y. T. Siu of Harvard University will be the principal lecturer and will give a series of ten talks.

复杂分析理论中最美丽的结果之一是Riemann映射定理，该定理指出，任何简单地连接到平面中的开放区域的任何简单连接的区域都与复杂平面或开放球相连。 从对一个复杂变量的分析到几个复杂变量时，情况变得更加参与。 实际上，不可能像Riemann映射定理这样的统一定理。 可以给出天然的kaehler结构（具有复杂结构的表面），而较高的尺寸复杂歧管则不必是Kaehler。 从某种意义上说，研究Kaehler歧管的统一定理是很自然的。 这次会议的目的是审查该领域的工作，讨论最近的一些结果（尚未出版），并为将来的更多活动奠定基础工作。 哈佛大学的Y. T. Siu教授将担任主要讲师，并将进行一系列的十个演讲。