Special Conference on Set-Theoretic Topology

该奖项支持参加2017年10月20日至22日在阿拉巴马州奥本大学举行的集合论拓扑学特别会议。会议的重点是拓扑学研究的进展和数学的推广，特别是集合论拓扑学。集合论和一般拓扑学是基本的数学学科，有着共同的历史根源，它们在数学的许多领域都是必不可少的工具。集合论在拓扑学中的应用自从50年前证明了连续统假设的独立性以来，给这两个领域注入了活力，而它们之间的协同作用继续活跃着集合论拓扑学领域。为解决该领域的中心问题而开发的技术对强迫方法、组合集合论和拉姆齐理论的发展起到了重要作用。集合论技巧也是最近关于不可分Banach空间的结构以及连续函数环和拓扑向量空间的研究的基本方法。当然，集合论拓扑学也很接近逻辑，在偏序、布尔代数和连续格的研究上与有限组合学和理论计算机科学有许多共同之处。这次会议将有三次全体会议和18次贡献的研究报告，以及一个开放问题的会议。这笔赠款将用于支持参与者的旅行，特别是学生、年轻研究人员、妇女和代表性不足群体的旅行。欲了解更多信息，请访问会议网站https://sites.google.com/view/auburntopologyconference2017.。

This award supports participation in the Special Conference on Set-Theoretic Topology held at Auburn University in Auburn, Alabama, from Oct 20th to 22nd, 2017. The conference focuses on the advancement of research in topology and outreach in mathematics, with specific emphasis on set-theoretic topology. Set theory and general topology are fundamental mathematical disciplines, with common historical roots, and they serve as essential tools in many areas of mathematics. Set theoretic applications to topology have invigorated both fields since the proof of the independence of the continuum hypothesis fifty years ago, and the synergy between them continues to invigorate the field of set-theoretic topology. Techniques developed to solve central questions in the field were instrumental in the development of the method of forcing, combinatorial set theory, and Ramsey theory. Set-theoretical techniques are also fundamental in recent work on the structure of non-separable Banach spaces and the study of rings of continuous functions and topological vector spaces. Quite naturally, set-theoretic topology also is close to logic and has much in common with finite combinatorics and theoretical computer science in its study of partial orders, Boolean algebra, and continuous lattices.This conference will feature both three plenary talks and eighteen contributed research talks, as well as a session on open problems. This grant will be used to support travel for participants, especially for students, young researchers, women, and underrepresented groups. More information may be found on the conference website, https://sites.google.com/view/auburntopologyconference2017.