The Topology and Geometry of Low-dimensional Manifolds

这项国家科学基金会奖为将于2018年7月12日至15日在德克萨斯大学奥斯汀分校举行的“低维流形的拓扑和几何”会议提供支持。会议将集中讨论被称为三流形和四流形拓扑的数学领域的最新发展。它将促进低维拓扑和相关领域的发现和合作。为了获得更广泛和更长期的利益，研究会谈的笔记将发布在会议网站上，使世界各地的研究人员都可以访问。该奖项将支持研究生和初级数学家参加会议，并在这个充满活力和快速发展的数学领域获得专业知识。本次会议旨在汇集领先的研究人员和早期职业数学家在低维拓扑及其与辛几何和接触几何的联系工作。在过去的十年里，我们对三流形和四流形的理解取得了许多进步，这在很大程度上是由于许多不同的和令人兴奋的想法的融合；从新的不变量，如单极同调和对合花同调，到辛拓扑和接触拓扑的微妙联系。会议将把采用不同方法的人们聚集在一起，分享想法，促进合作。更多信息可以在会议网站http://www.ma.utexas.edu/conferences/gompf/This上找到，该奖项反映了美国国家科学基金会的法定使命，并通过基金会的智力价值和更广泛的影响审查标准进行评估，认为值得支持。

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.