Geometry and Topology of 3-manifolds Conference

三流形几何与拓扑会议

• 批准号: 1758107
• 负责人: Joel Hass
• 金额: $ 1.7万
• 依托单位: University of California-Davis
• 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: 2018-04-01 至 2019-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1758107&HistoricalAwards=false
• 关键词: Geometry; Topology; manifolds; Conference

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.

该项目支持将于2018年5月25日至28日在日本冲绳岛冲绳科学技术研究所举行的为期4天的《3-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的国际小组，讨论这一领域的最新发展。参与者将是来自亚洲、澳大利亚、西欧和北美的不同群体的知名研究人员和有前途的初级数学家，其中大多数参与者来自亚洲和美国。该奖项将资助10名美国研究生或新近毕业的博士后参加会议。从经典拓扑学角度研究三维流形与从几何角度研究三维流形的交叉越来越多。在这一领域最近著名的结果是Perelman的几何化猜想的解(2006)和Agol的虚哈肯猜想的解(2012)。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。会议将致力于揭示这一图景的新工作。所涵盖的主题将连接到双曲几何、算法方法、计算几何、纽结理论、几何群论和新不变量。这次研讨会将为西方著名拓扑学家和来自亚洲的顶尖研究人员提供一个交流思想的场所。它将有大约16名演讲者介绍最近的研究进展。此外，还将有一场针对普通科学听众的公开讲座。会议网站是athttps://groups.oist.jp/manifolds/workshopThis奖，反映了美国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。