Special Conference on Set-Theoretic Topology

集合论拓扑特别会议

• 批准号: 1725093
• 负责人: Ziqin Feng
• 金额: $ 1.2万
• 依托单位: Auburn University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-05-01 至 2018-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1725093&HistoricalAwards=false
• 关键词: Special; Conference; Set; Theoretic; Topology

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.

该奖项支持参加2017年10月20日至22日在亚拉巴马奥本的奥本大学举行的集合论拓扑特别会议。会议的重点是推进拓扑学研究和数学推广，特别强调集合论拓扑学。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重要的工具。自50年前证明连续统假设的独立性以来，集合论在拓扑学中的应用已经扩展了这两个领域，它们之间的协同作用继续活跃着集合论拓扑学领域。为解决该领域的核心问题而开发的技术在强迫方法、组合集合论和拉姆齐理论的发展中发挥了重要作用。集合论技术也是不可分的Banach空间的结构和连续函数环和拓扑向量空间的研究的基础。很自然地，集合论拓扑学也接近逻辑，并在偏序，布尔代数和连续格的研究中与有限组合学和理论计算机科学有很多共同之处。本次会议将包括三个全体会议和十八个贡献的研究会谈，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、妇女和代表性不足的群体。更多信息可在会议网站https://sites.google.com/view/auburntopologyconference2017上找到。