Graduate Student Workshops in Mathematics with Applications to Physics

该项目支持在石溪大学西蒙斯几何和物理中心（SCGP）举办的几何和物理暑期学校。第一所暑期学校的题目是“模空间和奇点：代数和微分几何方法”，将于2014年6月至7月举行。暑期学校的目标是研究生。石溪大学西蒙斯几何与物理中心（SCGP）的科学活动由该中心的捐赠基金支持，并针对数学家和物理学家的研究社区。这些活动的目标是在理论物理和几何的合作领域进一步的知识。现代理论物理学贡献了一系列深刻的几何思想，这些思想产生了全新的数学领域，使旧的数学领域焕发了活力。到目前为止，有大量的数学家和物理学家在研究物理学和几何学的结合。数学的影响是双向的，数学技术和思想对数学和理论物理学的重大进步作出了至关重要的贡献。除了研究研讨会，SCGP还计划针对研究生开设几何和物理暑期学校。这项提案要求每年为研究生举办为期两周的暑期学校。美国国家科学基金会支持的最大份额是研究生在暑期学校的支持（住宿和膳食）。剩下的经费用于支付暑期学校的外部高级讲师的旅费和住宿费。这项活动的广泛影响将是在新的研究人员进入学术界时，弥合数学家和物理学家之间现有的差距，并鼓励跨学科研究的发展。中心跨学科的特点为培养研究生和青年研究人员提供了良好的环境。将努力使许多妇女成为参与者。

This project supports summer schools in Geometry and Physics held at The Simons Center for Geometry and Physics (SCGP) at Stony Brook University. The first summer school is titled "Moduli spaces and singularities: algebraic and differential-geometric approaches" and will take place in June-July 2014. The summer schools are aimed at graduate students.The scientific activities of the Simons Center for Geometry and Physics (SCGP) at Stony Brook University are supported by the Center's endowment, and are aimed at the research community of mathematicians and physicists. The goal of these activities is to further knowledge in the collaborative areas of theoretical physics and geometry. Modern theoretical physics has contributed a series of profound geometric ideas which gave rise to entirely new mathematical fields and revitalized older ones. By now there is a large and rapidly growing number of both mathematicians and physicists working at the interface between physics and geometry. The influence flows in both directions, with mathematical techniques and ideas contributing crucially to major advances in mathematical and theoretical physics. In addition to research workshops the SCGP plans to run summer schools in Geometry and Physics aimed at graduate students. The annual activity called for under this proposal is a two-week summer school for graduate students. The lion's share of the NSF support is for graduate student support (lodging and meals) during summer schools. The remaining funds are necessary to pay for travel and lodging of outside senior lecturers at the summer schools.The broad impact of this activity will be to bridge the existing gap between mathematicians and physicists at the level when new researchers are entering academia and encourage interdisciplinary research up the pipeline. The interdisciplinary character of the Center provides a nice environment for training graduate students and young researchers. An effort will be made to involve many women as participants.