Mathematical Sciences: Mapping Class Groups & Moduli Spaces of Algebraic Curves Conference; August 1991; Seattle, Washington

映射类群和模空间可以从 几个非常不同的方向：通过几何几何，3- 维拓扑和双曲几何;通过代数 几何学（特别是代数曲线理论）;通过 共形场论中的数学物理 也有 与算术群和表示的有趣联系 理论 不同的人之间往往很少交流。 工作在这一领域的团体，和技术和证明之一， 一个群体往往不被另一个群体的人很好地理解。 这笔赠款将部分支持一个会议，其目的是 把这些领域的专家和研究生聚集在一起， 和来自各个领域的年轻数学家， 参加者可加深对这方面的认识。 这 应该导致大量的交叉施肥和进展， 代数几何 会议将于1991年8月举行， 在华盛顿大学。

Mapping class groups and moduli spaces can be approached from several very different directions: through geometric geometry, 3- dimensional topology and hyperbolic geometry; through algebraic geometry (specifically the theory of algebraic curves); and through mathematical physics via conformal field theory. There are also interesting connections with arithmetic groups and representation theory. There is often little communication between the various groups working in this area, and the techniques and proofs of one group are often not well understood by those in another. This grant will partially support a conference whose aim is to assemble experts in these fields, together with graduate students and young mathematicians from the various fields, so that the participants can deepen their understanding of this area. This should result in a good deal of cross-fertilization and progress in algebraic geometry. The conference will be held in August, 1991, at the University of Washington.