Mathematical Sciences: Symplectic Topology, April 9-11, 1992; Fayetteville, AR

辛拓扑的主题可以追溯到庞加莱对天体力学的研究。这一领域的第一个成果是所谓的“庞加莱几何定理”，在大约二十年后被证明。辛拓扑学的最新进展始于20世纪80年代初，当时阿诺德的一些猜想得到了证明，这些猜想20年来一直没有得到解决。在过去几年中发生了重大的发展；现代辛拓扑学与莫尔斯的上下无界泛函理论、几乎复流形中的伪全纯曲线理论、瞬子理论、低维拓扑学和结理论有着密切的联系。该项目将支持将于1992年4月9日至11日在费耶特维尔阿肯色大学举行的辛拓扑会议。会议将集中讨论最近的发展，并将代表解决辛拓扑问题的不同方法，并提供机会就未解决的问题交换意见。

The subject of symplectic topology goes back to Poincare's work on celestial mechanics. The first result in this area was the so-called "Poincare's geometric theorem," proved some twenty years later. Recent progress in symplectic topology started in the early 1980's with proofs of some of Arnold's conjectures which had remained unresolved for twenty years. Major developments have occurred in the last several years; modern symplectic topology is intimately linked with Morse theory of functionals unbounded from above and below, the theory of pseudo- holomorphic curves in almost-complex manifolds, the theory of instantons, low-dimensional topology and knot theory. This project will support the Conference on Symplectic Topology to be held from April 9-11, 1992 at the University of Arkansas, Fayetteville. The conference will focus on recent developments and will represent different approaches to the problems of symplectic topology and provide an opportunity to exchange ideas on unresolved problems.