我们计划举办辛几何与拓扑场论方面的高级研讨班并申请天元基金对这个项目的资助。这个高级研讨班的目的是加强国内在辛几何及与量子场论相关的数学物理方面的交流与合作。 在最近的20年内，各种模空间理论的研究对数学的各个方向都有很大的影响，其中包括Yang-Mills理论，Seiberg-Witten理论，Gromov-Witten理论，Floer同调，Dolnadson-Thomas理论，Heggard-Floer 理论等等。由于国际上这个方向日新月异的发展，因此加强这个方面不同分支的交流就变得非常迫切。由于所考虑的问题所涉及的范围与难度，因此无论是学术研究的需要还是青年工作者的培养都使得这样的交流变得必不可少。我们的研讨班预计将每年组织两次大的研讨活动，每次活动以国内学者和研究生为主并邀请一两位国外专家参加。我们希望天元基金能提供交流所必须的经费支持。

We apply for the support for the advanced seminars on symplectic geometry and topological field theory. These seminars aim at enhancing communication and cooperation of domestic scholars working in the field of symplectic geometry and mathematical physics related to quantum field theory. In the past two decades, the study of various moduli spaces has greatly influenced the development of many branches of mathematics, including Yang-Mills theory, Seiberg-Witten theory, Gromov-Witten theory, Floer homology, Donaldson-Thomas theory, Heggard-Floer theory, etc. Due to the rapid development of this field, it is urgent to enhance communications among different branches of this field. Considering the scope and difficulties of this field, such communications become necessary for both scientific research and training of young researchers. Our advanced seminars plan to have two large scale activities each year. Each activity will mainly involve domestic scholars and graduate students, and we will also invite one or two foreign experts to participate. We hope Tian Yuan foundation could provide support for these advanced seminars.