Symplectic Geometry Workshop at the Isaac Newton Institute

辛几何研讨会将于2017年8月14日至18日在英国剑桥的艾萨克·牛顿研究所举行。该奖项支持美国研究人员的参与。会议主题集中在由某些共同思想联合起来的几何领域：模空间的重要性，微分几何和代数几何概念之间的关系，半无限维同调理论。研讨会旨在为初级和高级研究人员提供一个场所，通过接触有前途的新活动领域，拓宽他们在现有专业领域之外的视野。该奖项旨在为美国不同群体的参与者提供这样的机会。会议的目的是重新连接这些研究分支并促进互动，如下面的例子所示。讲座将讨论有关规范理论和四色定理的进展工作。这个项目中相当大的计算困难可能从其他方向更容易接近，包括深屋分类和镜像对称，这是几个演讲者的专业领域，使会议成为催化这种互动的好场所。另一个讲座将讨论花上同调中的等方差，这是一个强大的工具，应该有许多具体的拓扑应用；与会者中有来自发达的等变辛拓扑领域的领导者，他们可以为这些应用提供想法。高维规范理论是另一个学科，随着最近的突破，似乎准备进行更广泛的发展。在会议上，来自分析方面和皮卡德-莱夫谢茨理论的主要专家将发表他们各自的观点。详情可浏览会议网页：https://www.newton.ac.uk/event/sygw05

A workshop on symplectic geometry will be held at the Isaac Newton Institute in Cambridge, England on August 14-18, 2017. This award supports the participation of US-based researchers. The conference topics center on an area of geometry united by certain common ideas: the importance of moduli spaces, the relation between differential-geometric and algebro-geometric concepts, and semi-infinite-dimensional homology theories. The workshop aims to provide a venue for both junior and advanced researchers to broaden their outlook beyond their existing areas of expertise, by being exposed to promising new areas of activity. This award intends to offer this opportunity to a diverse group of US-based participants.The aim of the meeting is to reconnect these research strands and spur interactions, as illustrated by the following examples. Talks will discuss work in progress relating gauge theory and the Four-Color Theorem. The considerable computational difficulties in this project may well be more approachable from other directions, including Fukaya categories and mirror symmetry, which are the areas of expertise of several speakers, making the conference a good venue for catalyzing that interaction. Another talk will discuss recent work on equivariance in Floer cohomology, a powerful tool that should have many concrete topological applications; among the participants are leaders from the well-developed field of equivariant symplectic topology, who can contribute ideas for such applications. Higher-dimensional gauge theory is another subject that, following recent breakthroughs, seems ready for wider developments. At the conference, leading specialists from the analytic side and from Picard-Lefschetz theory will contribute their respective viewpoints. Further details can be found at the conference webpage: https://www.newton.ac.uk/event/sygw05