Conference on Applications of Geometry to Topology and Physics, November 2008, Newark, NJ

几何在拓扑和物理中的应用会议，2008 年 11 月，新泽西州纽瓦克

• 批准号: 0816502
• 负责人: Jason Parsley
• 金额: $ 1.99万
• 依托单位: Wake Forest University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-09-01 至 2009-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0816502&HistoricalAwards=false
• 关键词: Conference; Applications; Geometry; Topology; Physics

A conference on the Applications of Geometry to Topology and Physics will be held November 7-9, 2008 at Rutgers-Newark University. Speakers including Thomas Banchoff, Robert Connelly, Dennis DeTurck, David Gabai, Weiqing Gu, Blaine Lawson, David Singer, Dennis Sullivan, and Gang Tian will gather to address two topics in the application of geometry to other fields. The first topic is calibrated geometry and its applications to physics, including calibrated cycles and mirror symmetry, calibrated geometry and gauge theory, and moduli spaces of calibrated cycles. The second topic is the application of geometry to knot theory, including the study of geometric functionals and flows on knots such as Freedman's Mobius energy and Nabutovsky's ropelength. A conference on the Applications of Geometry to Topology and Physics will be held November 7-9, 2008 at Rutgers-Newark University. This conference will bring together mathematicians working in geometry to address two applications of the subject. The first is calibrated geometry, a structure which is often utilized in solving optimization problems in geometry, and which has numerous physical applications. First studied in the 1930's, calibrated geometry has garnered renewed interest in the past decade for its connection to topics in modern physics, such as mirror symmetry. The second conference topic is the application of geometry to the mathematical study of knots, which provides a deep understanding of three-dimensional objects and their topology. Geometric ideas in knot theory have enabled applications to fluid dynamics and plasma physics. Our second topic seeks to connect these advances in knot theory with other more traditional applications of geometry in topology in order to foster an exchange of ideas and techniques with the broader geometry community.

2008年11月7-9日，罗格斯-纽瓦克大学将举行几何学在拓扑学和物理学中的应用会议。演讲者包括Thomas Banchoff， Robert Connelly, Dennis DeTurck, David Gabai，顾维清，Blaine Lawson, David Singer， Dennis Sullivan和田刚将聚集在一起讨论几何在其他领域应用的两个主题。第一个主题是校准几何及其在物理中的应用，包括校准环和镜像对称，校准几何和规范理论，以及校准环的模空间。第二个主题是几何在结理论中的应用，包括几何泛函和结上的流动的研究，如弗里德曼的莫比乌斯能量和纳布托夫斯基的绳长。2008年11月7-9日，罗格斯-纽瓦克大学将举行几何学在拓扑学和物理学中的应用会议。这次会议将汇集几何学领域的数学家来讨论这一学科的两个应用。首先是校准几何，这是一种经常用于解决几何优化问题的结构，并且具有许多物理应用。校准几何在20世纪30年代首次被研究，在过去的十年中，由于它与现代物理学的主题（如镜像对称）的联系，校准几何重新引起了人们的兴趣。会议的第二个主题是几何在结的数学研究中的应用，它提供了对三维物体及其拓扑结构的深刻理解。结理论中的几何思想已经应用到流体动力学和等离子体物理中。我们的第二个主题旨在将结理论的这些进展与拓扑中其他更传统的几何应用联系起来，以促进与更广泛的几何社区的思想和技术交流。