Geometry and Topology of 3-manifolds Conference

该项目支持将于2018年5月25日至28日在日本冲绳的冲绳科学技术研究所举行的为期4天的“三维流形的几何和拓扑”会议。 这次会议将汇集一个由大约60名与会者组成的杰出国际小组，讨论这一领域的最新发展。与会者将是来自亚洲、澳大利亚、西欧和北美的杰出研究人员和有前途的初级数学家，其中大多数与会者来自亚洲和美国。 该奖项将资助10名美国的研究生或最近毕业的博士后参加会议。从经典拓扑观点研究三维流形和从几何观点研究三维流形已经越来越重叠。最近在该领域的著名结果是Perelman的几何化猜想（2006年）和Agol的虚拟哈肯猜想（2012年）的解决方案。 这些结果探索了三维流形的几何和拓扑之间的相互作用，但对这些相互作用的性质提出了更多的问题。 会议将致力于阐明这一情况的新工作。主题涵盖将连接到双曲几何，算法方法，计算几何，纽结理论，几何群论，和新的不变量。这次研讨会将为西方著名拓扑学家和来自亚洲的主要研究人员之间的思想交流提供一个场所。 它将有大约16位发言者介绍最近的研究进展。此外，还将有一个面向普通科学观众的公开讲座。会议网站是：athtps：groups.oist.jp/manifolds/workshopThis奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。

This project supports a 4-day conference on "The geometry and topology of 3-manifolds" to be held May 25-28, 2018 at the Okinawa Institute of Science and Technology on the island of Okinawa in Japan. This conference will bring together a distinguished international group of about 60 participants to discuss recent developments in this area. The participants will be a diverse group of prominent researchers and promising junior mathematicians from Asia, Australia, Western Europe, and North America, with most participants being from Asia and the US. This award will provide funding for ten US based graduate students or recently graduated postdocs to attend the conference.The study of 3-manifolds from the classical topological viewpoint and its study from the geometric viewpoint have been increasingly overlapping. Among recent well-known results in the area are Perelman's solution of the Geometrization Conjecture (2006) and Agol's solution of the Virtual Haken Conjecture (2012). These results explore the interactions between the geometry and topology of 3-manifolds, but raise even more questions about the nature of these interactions. The conference will be devoted to new work that sheds light on this picture. Topics covered will connect to hyperbolic geometry, algorithmic methods, computational geometry, knot theory, geometric group theory, and new invariants. This workshop will provide a venue for an exchange of ideas between prominent Western topologists and leading researchers from Asia. It will feature approximately 16 speakers presenting recent research progress. Additionally, there will be a public lecture aimed at a general scientific audience.The conference website is athttps://groups.oist.jp/manifolds/workshopThis 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.