Conference on Classical and Quantum 3-Manifold Topology

该奖项为“经典和量子3流形拓扑”会议的美国参与者提供部分支持，该会议将于2018年12月17日至21日在澳大利亚墨尔本郊区克莱顿的莫纳什大学举行，之前将于2018年12月14日至15日为学生和早期职业研究人员举办研讨会。会议和研讨会将通过汇集拓扑两个相关领域的国际研究人员，鼓励新思想和结果的传播，增加合作，并介绍新的研究人员来解决这些领域的重要问题，从而促进数学的进步。这将有助于培养和发展数学人才。在过去的四十年里，人们发现了拓扑量子场论（TQFT）、低维拓扑和流形上的几何结构之间的许多深层联系。本次会议致力于探索和加强这些联系。具体目标是：第一，为分享这些密切相关领域的新成果提供一个场所。第二，加强全球研究专家在这些领域的合作与交流。第三，向研究人员，特别是学生和早期职业研究人员介绍重要的开放问题和当前研究领域，特别是量子和经典拓扑在三维中的接口问题。为了实现这些目标，会议和研讨会将汇集一批杰出的国际数学家。会议强有力的科学计划有望鼓励在这些学科工作的研究人员找到共同点，并导致新的发展。此外，研讨会期间的介绍性讲座将使初级数学家了解主要的研究主题，并最终为这些领域做出贡献。会议的网站，包括更多的细节，位于：https://sites.google.com/view/cq3dt/homeThis奖项反映了NSF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 award provides partial support to U.S. based participants of the conference "Classical and quantum 3-manifold topology" to be held at Monash University in Clayton, a suburb of Melbourne, Australia, from 17 to 21 December 2018, preceded by a workshop for students and early career researchers on 14-15 December 2018. The conference and workshop will promote progress in mathematics by bringing together international researchers in two related areas of topology, encouraging the dissemination of new ideas and results, increasing collaboration, and introducing new researchers to important problems in these fields. This will contribute to the training and development of mathematical talent.The last four decades have witnessed the discovery of many deep connections between topological quantum field theory (TQFT), low-dimensional topology, and geometric structures on manifolds. This conference is devoted to exploring and strengthening these connections. The specific goals are: first, to provide a venue for sharing new results in these closely related areas. Second, to increase collaboration and communication among research experts globally in these fields. Third, to introduce researchers, especially students and early career researchers, to important open problems and areas of current research, particularly problems lying at the interface of quantum and classical topology in three dimensions. To meet these goals, the conference and workshop will bring together a distinguished international group of mathematicians. The strong scientific program of the conference is expected to encourage researchers working in these subjects to find common ground and lead to new developments. In addition, the introductory talks during the workshop will enable junior mathematicians to learn major research themes and eventually to contribute to these areas. The conference website, which includes further details, is located at: https://sites.google.com/view/cq3dt/homeThis 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.