Mirror Symmetry Workshop; Stillwater, Oklahoma; February 9-12, 1995

Katz镜像对称自五年前被发现以来，一直受到物理学家和数学家的密切关注。 从物理学的观点来看，镜像对称提供了一个强有力的计算工具，可以用来提取一大类弦紧化的性质;它也导致了一些论点，证明弦理论中有物理过程导致了不寻常的发展，如时空拓扑变化。 从数学的观点来看，镜像对称揭示了代数几何中一个迄今为止未知的结构，它通过它们共同的共形场论显示了先验的不同代数簇之间的深刻联系。 这种物理连接，除其他外，允许计算各种拓扑性质，这些性质已被证明是难以使用更标准的数学方法。 最近对镜像对称的研究强调了它作为一个竞技场的不同寻常的程度，在这个竞技场中，物理和数学方法可以和谐地结合在一起，为这两个研究领域产生重要的结果。 镜像对称研讨会将于1995年2月9日至12日在俄克拉荷马州州立大学举行。 这个讲习班的功效将得到加强，它发生在一个特殊的一年代数几何这将是在俄克拉荷马州州立大学在1994-95学年的部分支持，从司的数学科学的国家科学基金会。 ***

9417599 Katz Mirror symmetry, since its discovery about five years ago, has been under intense investigation by both physicists and mathematics. From the viewpoint of physics, mirror symmetry provides a powerful computational tool for extracting the properties of a broad class of string compactifications; it has also led to arguments establishing that there are physical processes in string theory resulting in unusual developments such as space-time topology change. From the viewpoint of mathematics, mirror symmetry uncovers a hitherto unknown structure in algebraic geometry which shows a deep connection between a priori distinct algebraic varieties through their common conformal field theory. This physical connection, among other things, allows for the calculation of various topological properties which have proven intractable using more standard mathematical methods. recent research in mirror symmetry has underscored the unusual degree to which it serves as an arena where physical and mathematical methods can be harmoniously united to produce important results for both fields of study. The Mirror Symmetry Workshop will be held at Oklahoma State University February 9-12, 1995. The efficacy of this workshop will be augmented by its taking place during a Special Year in Algebraic Geometry which will be held at Oklahoma State University during the 1994-95 academic year with partial support from the Division of Mathematical Sciences of the National Science Foundation. ***