Graduate Student Workshops in Mathematics with Applications to Physics

该项目支持斯托尼布鲁克大学西蒙斯几何和物理中心举办的几何和物理暑期学校。第一个暑期学校题为“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。斯托尼布鲁克大学西蒙斯几何和物理中心（SCGP）的科学活动由该中心的捐赠基金资助，面向数学家和物理学家的研究团体。这些活动的目标是进一步了解理论物理学和几何学的合作领域。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，并使旧的数学领域重新焕发活力。到目前为止，在物理学和几何学之间的界面上工作的数学家和物理学家人数都在迅速增加。这种影响是双向的，数学技术和思想对数学和理论物理的重大进步做出了至关重要的贡献。除了研究讲习班外，SCGP计划为研究生开办几何和物理暑期学校。根据这项建议，每年的活动是为研究生举办为期两周的暑期学校。国家科学基金会的大部分支持是暑期学校期间的研究生支持（住宿和膳食）。剩余的资金用于支付暑期学校外部高级讲师的差旅费和住宿费。这项活动的广泛影响将是弥合新研究人员进入学术界时数学家和物理学家之间的现有差距，并鼓励跨学科研究。该中心的跨学科性质为培养研究生和年轻研究人员提供了良好的环境。将努力让许多妇女参加。

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.