The Topology and Geometry of Low-dimensional Manifolds

低维流形的拓扑和几何

• 批准号: 1832173
• 负责人: John Etnyre
• 金额: $ 2万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-06-01 至 2019-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1832173&HistoricalAwards=false
• 关键词: Topology; Geometry; Low; dimensional; Manifolds

This National Science Foundation award provides support to the conference "The topology and geometry of low-dimensional manifolds" to be be held July 12-15, 2018 at the University of Texas, Austin. The conference will focus on recent developments in areas of mathematics known as three and four-manifold topology. It will promote discoveries and collaborations in low dimensional topology and related fields. For wider and longer term benefit notes from the research talks will be posted on the conference website making them accessible to researchers around the world. This award will provide support to graduate student and junior mathematicians to attend the conference and gain expertise in this dynamic and fast moving field of mathematics. This conference aims to bring together leading researchers and early career mathematicians working in low-dimensional topology and its connections with symplectic and contact geometry. There have been many advances in our understanding of three- and four-manifolds in the last decade due in large part to a convergence of many varied and exciting ideas; from new invariants, such as Monopole Homology and Involutive Floer homology, to subtle connections with symplectic and contact topology. The conference will bring people working with diverse approaches together to share ideas and foster collaborations. More information can be found at the conference website http://www.ma.utexas.edu/conferences/gompf/This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

这项国家科学基金会奖为会议“低维歧管的拓扑和几何形状”提供了支持，将于2018年7月12日至15日在奥斯汀分校举行。该会议将重点介绍数学领域的最新发展，称为三个和四个manifold拓扑。它将在低维拓扑和相关领域中促进发现和合作。对于更广泛和长期的研究，研究演讲将发布在会议网站上，使世界各地的研究人员都可以访问它们。该奖项将为研究生和初级数学家提供支持，以参加会议，并获得这个动态和快速运动的数学领域的专业知识。这次会议旨在召集领先的研究人员和早期的职业数学家，从事低维拓扑的工作，以及与符号和接触几何形状的联系。在过去的十年中，我们对三个和四个manifolds的理解取得了许多进步，这在很大程度上是由于许多多样化和令人兴奋的想法的融合。从新的不变物（例如单极同源性和参与浮子同源性）到具有符号和接触拓扑的微妙连接。 该会议将使以各种方法的方式聚集在一起，分享想法并促进合作。可以在会议网站http://www.ma.utexas.edu/conferences/gompf/this Award上找到更多信息，反映了NSF的法定任务，并被认为是通过基金会的智力优点和更广泛的影响来通过评估来获得支持的。

项目成果

Symplectic hats

• DOI: 10.1112/topo.12258
• 发表时间: 2020-01
• 期刊: Journal of Topology
• 影响因子: 1.1
• 作者: John B. Etnyre;Marco Golla