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

辛拓扑的主题可以追溯到庞加莱的 研究天体力学 这方面的第一个成果是 所谓的“庞加莱几何定理”，证明了大约20 年后 辛拓扑学的最新进展始于 20世纪80年代初， 二十年来一直没有得到解决。 主要 最近几年的发展;现代 辛拓扑与莫尔斯理论密切相关， 从上到下无界的泛函，伪 几乎复流形中的全纯曲线， 瞬子、低维拓扑和纽结理论。 该项目将支持辛 拓扑学将于1992年4月9日至11日在哥伦比亚大学举行 阿肯色州，费耶特维尔。 会议将重点关注近期 发展，并将代表不同的方法， 辛拓扑的问题，并提供了一个机会， 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.