Geometry and Topology of String Theory

DMS-0401953 Ezra Getzler和Eric Zaslow该奖项支持在西北大学举行的关于膜理论的数学会议，在西北大学弦理论的几何和拓扑方法重点年的背景下。此外，该奖项还支持在会议之前举行的一系列小型研讨会和研讨会，特别是针对学生和博士后。 这次会议将促进数学家和物理学家之间的互利互动。此外，预计这些活动将在宣传这些新兴方法在几何和拓扑学其他领域的潜在应用方面发挥作用。 几何和同伦理论的方法已被证明是越来越重要的研究弦理论和相关领域的物理在过去几年中：我们可以提到福谷和Kontsevich的介绍A1范畴和作用的流形的G2-holonomy只是两个例子。思想的流动也朝着另一个方向发展。例如，弦对偶性为代数簇的导出范畴的研究提供了新的方向。

DMS-0401953Ezra Getzler and Eric ZaslowThis award supports a conference at Northwestern University on the mathematics surrounding the theory of branes, in the context of the Emphasis Year on Geometric and Topological Methods in String Theory at Northwestern University.In addition, the award also supports a series of mini-workshops and seminars tobe held before the conference, which is particularly directed at students and post-docs. This conference will foster a mutually beneficial interaction betweenmathematicians and physicists. In addition, the activities are expected to play a role in advertising potential applications of these emerging methods elsewhere in geometry and topology. Geometric and homotopy-theoretic methods have proved of increasingimportance to the study of string theory and associated areas ofphysics in the last few years: we may mention Fukaya and Kontsevich'sintroduction of A1-categories and the role of manifolds of G2-holonomyas just two examples. The flow of ideas has gone in the other directionas well. For example, string duality has suggested new directions ofresearch on derived categories of algebraic varieties.