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

一个关于几何拓扑和物理应用的会议将于2008年11月7日至9日在罗格斯-纽瓦克大学举行。 包括托马斯班乔夫，罗伯特康奈利，丹尼斯DeTurck，大卫Gabai，顾维清，布莱恩劳森，大卫辛格，丹尼斯沙利文和田刚在内的发言者将聚集在一起，解决几何应用到其他领域的两个主题。 第一个主题是校准几何及其在物理学中的应用，包括校准周期和镜像对称，校准几何和规范理论，以及校准周期的模空间。 第二个主题是几何学在纽结理论中的应用，包括研究几何泛函和纽结上的流动，如弗里德曼的莫比乌斯能量和纳布托夫斯基的绳长。 一个关于几何拓扑和物理应用的会议将于2008年11月7日至9日在罗格斯-纽瓦克大学举行。 这次会议将汇集数学家在几何工作，以解决两个应用的主题。 第一种是校准几何，这是一种结构，经常用于解决几何优化问题，并有许多物理应用。 校准几何学在20世纪30年代首次被研究，在过去的十年中，它与现代物理学中的主题（如镜像对称）的联系重新引起了人们的兴趣。 第二个会议主题是几何应用于结的数学研究，这提供了对三维物体及其拓扑结构的深刻理解。 纽结理论中的几何思想已经应用于流体动力学和等离子体物理学。 我们的第二个主题旨在连接结理论与其他更传统的应用几何拓扑这些进步，以促进思想和技术的交流与更广泛的几何社区。

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.