2018 Redbud Geometry/Topology Conference

该奖项支持“2018春季紫荆拓扑会议”，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州立大学校园举行。 研讨会前，将于四月二十七日举行为期一天的研究生工作坊。 会议将汇集3-流形和4-流形拓扑领域的专家-即，当这些空间被弯曲或拉伸时保持不变的特征（如“洞”）--讨论将这些物体分解成更容易理解的碎片的自然方式。发言人名单包括来自澳大利亚、亚洲和美国的研究人员。该奖项将为他们的旅行以及美国的研究生和其他希望参加会议的早期职业数学家提供资金。2018年春季会议将提出两个主要研究领域，即3-和4-流形的三角剖分和三等分，最近引入了4-流形的组合分解。在三角剖分线程中，重点将放在与3流形拓扑相关的当前算法问题上。 我们还将重点介绍三分法的最新发展，包括胶合产生的三分法的基本构造，可以从三分法计算的不变量，以及三分法在数学物理中的应用。通过将这些专家组聚集在一起，参与者将探索和扩展最近发现的四维三分法和三角法之间的联系。十位演讲者将在会议期间以及研究生研讨会期间的介绍性演讲。会议网页可以在以下网站找到：http://math.okstate.edu/conferences/redbud/This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 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.