Mathematical Sciences: Conference on Geometry and Quantum Field Theory; March 26-29, 1992

数学科学：几何与量子场论会议；

• 批准号: 9200557
• 负责人: Jack Morava
• 金额: $ 0.9万
• 依托单位: Johns Hopkins University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-03-15 至 1993-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9200557&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Conference; Geometry; Quantum

The interactions among quantum field theory, string theory, algebraic geometry, and topology are of great current interest. Among the topics to be encompassed by this project are: (1) two- dimensional gravity and cohomology of moduli spaces, and their relations with matrix models, topological field theories and "dessins;" (2) mirror symmetry and its consequences in string theory and algebraic geometry; (3) two-dimensional string theory and non-compact sigma models; (4) solvable gauge theories and their applications in mathematics; and (5) elliptic cohomology and its generalizations. This project will support the Conference on Geometry and Quantum Field Theory to be held from March 26-29, 1992 at Johns Hopkins University. A pre- and post-conference workshop will also be held. The conference activity will be held in conjunction with a special year on these topics, hosted by the Japan-U.S. Institute at Johns Hopkins. The major topics to be covered by the conference include two-dimensional gravity, mirror symmetry, two-dimensional string theory, solvable gauge theories, and elliptic cohomology.

量子场论、弦论、代数几何和拓扑学之间的相互作用是当前人们非常感兴趣的。本课题的研究内容包括：(1)模空间的二维引力和上同调及其与矩阵模型、拓扑场理论和“设计”的关系；(2)镜像对称性及其在弦理论和代数几何中的影响；(3)二维弦理论和非紧化sigma模型；(4)可解规范理论及其在数学中的应用；(5)椭圆上同调及其推广。该项目将支持于1992年3月26日至29日在约翰霍普金斯大学举行的几何学和量子场论会议。还将举行会前和会后讲习班。会议活动将与日美同盟主办的“这些主题特别年”同时举行。约翰霍普金斯大学的研究所。会议的主要议题包括二维重力、镜像对称、二维弦理论、可解规范理论和椭圆上同调。