Symplectic Geometry Workshop at the Isaac Newton Institute

艾萨克·牛顿研究所辛几何研讨会

• 批准号: 1727545
• 负责人: Paul Seidel
• 金额: $ 3万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-07-01 至 2018-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1727545&HistoricalAwards=false
• 关键词: Symplectic; Geometry; Workshop; Isaac; Newton

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

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。会议的主题集中在一个区域的几何团结某些共同的想法：模空间的重要性，微分几何和代数几何概念之间的关系，和半无限维的同源理论。该讲习班的目的是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，拓宽他们现有专业领域以外的视野。该奖项旨在为来自美国的不同群体的参与者提供这一机会。会议的目的是重新连接这些研究链并促进互动，如以下示例所示。讲座将讨论与规范理论和四色定理有关的正在进行的工作。这个项目中相当大的计算困难很可能从其他方向更容易接近，包括福谷范畴和镜像对称，这是几位发言者的专业领域，使会议成为促进这种互动的良好场所。另一个演讲将讨论最近在Floer上同调等变方面的工作，这是一个强大的工具，应该有许多具体的拓扑应用;参与者中有来自等变辛拓扑的发达领域的领导者，他们可以为这些应用贡献想法。高维规范理论是另一个在最近的突破之后，似乎已经准备好进行更广泛的发展的学科。在会议上，来自分析方面和Picard-Lefschetz理论的主要专家将发表各自的观点。更多详情请访问会议网页：https://www.newton.ac.uk/event/sygw05