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

数学科学：映射类组

• 批准号: 9108213
• 负责人: Richard Hain
• 金额: $ 0.6万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-01 至 1992-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9108213&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Mapping; Class; Groups

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.

映射类群和模空间可以从几个截然不同的方向进行：通过几何几何、3维拓扑和双曲几何；通过代数几何（特别是代数曲线理论）；并通过数学物理学通过共形场论。 与算术群和表示论也有有趣的联系。 在这一领域工作的各个小组之间通常很少有交流，并且一个小组的技术和证明往往不能被另一个小组很好地理解。 这笔赠款将部分支持一个会议，该会议的目的是聚集这些领域的专家，以及来自各个领域的研究生和年轻数学家，以便参与者加深对该领域的理解。 这应该会带来大量的交叉融合和代数几何的进步。 会议将于 1991 年 8 月在华盛顿大学举行。