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

复变理论中最漂亮的结果之一 分析是黎曼映射定理，它指出，任何 平面上的单连通开区域是双全纯的 复杂的平面或开放的球。 通过分析 一个复变量到多个复变量的情况 变得更加复杂。 事实上，一个单值化定理 比如黎曼映射定理是不可能的 黎曼 表面（具有复杂结构的表面）可以被给定为 自然Kaehler结构，而高维复杂 歧管不必是Kaehler。 那么，在某些情况下， 意义上，研究Kaehler流形的一致化定理。 这次会议的目的是审查 这一领域，讨论一些最近的结果（尚未发表）， 并为今后更多的活动奠定基础。 Y教授T.哈佛大学的萧将担任校长 讲师，并将提供一系列的十个讲座。

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 The object of this conference will be to review work in this area, to discuss some recent results (as yet unpublished), and to lay the ground work for more activity in the future.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.