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

可以从几个非常不同的方向来研究映射类群和模空间：通过几何几何、三维拓扑和双曲几何；通过代数几何(特别是代数曲线论)；通过数学物理通过保角场论。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往往很少交流，一个小组的技术和证明往往不被另一个小组的人很好地理解。这笔赠款将部分资助一次会议，其目的是召集这些领域的专家，以及来自不同领域的研究生和青年数学家，以便与会者加深对这一领域的了解。这应该会导致大量的交叉受精和代数几何的进步。会议将于1991年8月在华盛顿大学举行。

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.