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12-15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。会议将聚焦于数学领域的最新发展，即三和四流形拓扑学。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，会议网站上将张贴来自研究讲座的说明，供世界各地的研究人员查阅。该奖项将为研究生和初级数学家提供支持，让他们参加会议，并在这个充满活力和快速发展的数学领域获得专业知识。这次会议的目的是聚集研究低维拓扑及其与辛几何和接触几何的联系的顶尖研究人员和职业生涯早期的数学家。在过去的十年里，我们对三维和四维流形的理解有了很大的进步，这在很大程度上是由于许多不同和令人兴奋的概念的收敛；从新的不变量，如单极同调和对合Floer同调，到与辛拓扑和接触拓扑学的微妙联系。这次会议将把使用不同方法工作的人们聚集在一起，分享想法，促进合作。更多信息可在会议网站上找到，http://www.ma.utexas.edu/conferences/gompf/This奖反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.