2018 Redbud Geometry/Topology Conference

该奖项支持将于2018年4月28日至29日在俄克拉荷马州斯蒂尔沃特的俄克拉荷马州立大学校园举行的“2018年春季Redbud拓扑会议”。会议之前，将于4月27日举行为期一天的研究生研讨会。会议将汇集3流形和4流形拓扑领域的专家，即当这些空间弯曲或拉伸时保持不变的特征（如“洞”），讨论将这些对象分解成更容易理解的部分的自然方法。承诺的演讲者包括来自澳大利亚、亚洲和美国的研究人员。该奖项将为他们的旅行以及希望参加会议的美国研究生和其他早期职业数学家提供资金。2018年春季会议将介绍两个主要的研究领域，即3流形和4流形的三角剖分和三截面，这是最近介绍的4流形的组合分解。在三角测量线程中，重点将放在与3流形拓扑相关的当前算法问题上。我们还将集中讨论三等分的最新发展，包括由胶合引起的三等分的基本构造，可以由三等分计算的不变量，以及三等分在数学物理中的应用。通过将这些专家小组聚集在一起，参与者将探索和扩展最近发现的四维三角剖分和三角剖分之间的联系。会议期间将有10位演讲嘉宾，并在研究生研讨会期间进行介绍性演讲。该奖项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知识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 supports the "2018 Spring Redbud Topology Conference", to be held on April 28-29, 2018 on the campus of Oklahoma State University in Stillwater, Oklahoma. The confernece will be preceded by a one-day graduate workshop to be held on April 27. The conference will bring together experts in the fields of 3-manifold and 4-manifold topology -- i.e., features(like 'holes') that remain unchanged when these spaces are bent or stretched -- to discuss natural ways of breaking these objects into more well understood pieces. The list of committed speakers includes researchers based in Australia, Asia and the US. This award will provide funding for their travel as well as US based graduate students and other early career mathematicians wishing to attend the meetings.Two main areas of research will be presented at the Spring 2018 conference, namely triangulations of 3- and 4-manifolds and trisections, a recently introduced combinatorial decomposition of 4-manifolds. In the triangulations thread, the focus will be on current algorithmic questions related to 3-manifold topology. We will also focus on recent developments in trisections, including basic constructions of trisections arising from gluing, invariants which can be calculated from trisections, and applications of trisections in mathematical physics. By bringing these groups of experts together, participants will explore and extend very recently discovered connections between 4-dimensional trisections and triangulations. Ten speakers will be featured during the conference as well as introductory talks during the graduate workshop. The conference webpage can be found at:http://math.okstate.edu/conferences/redbud/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.