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

自从五年前镜像对称性被发现以来，物理学家和数学界都对它进行了深入的研究。从物理学的角度来看，镜像对称提供了一个强大的计算工具，用于提取大量弦紧化的性质；它还引发了一些争论，认为弦理论中存在导致时空拓扑变化等不寻常发展的物理过程。从数学的角度来看，镜像对称揭示了代数几何中一个迄今为止未知的结构，它通过共同的共形场论揭示了先天不同代数变体之间的深刻联系。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舞台的不同寻常的程度，在这个舞台上，物理和数学方法可以和谐地结合起来，为这两个研究领域产生重要的结果。镜面对称研讨会将于1995年2月9日至12日在俄克拉荷马州立大学举行。该讲习班将在1994-95学年在俄克拉荷马州立大学举行的代数几何特别年期间举行，并得到国家科学基金会数学科学部的部分支持，这将增强讲习班的效力。* * *

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. ***