Descriptive Set Theory And Polish Groups at the Bernoulli Center

伯努利中心的描述性集合论和波兰群

• 批准号: 1800263
• 负责人: Justin Moore
• 金额: $ 4.88万
• 依托单位: Cornell 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: 2017-12-15 至 2018-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1800263&HistoricalAwards=false
• 关键词: Descriptive; Set; Theory; Polish; Groups

This award will provide support for US based researchers to attend conferences and workshops, which will take place as part of the thematic program on Descriptive Set Theory and Polish Groups at the Bernoulli Center at the École Polytechnique Fédérale de Lausanne (EPFL) in Lausanne, Switzerland from January 1 until June 30, 2018.Descriptive set theory is classically defined as the study of definable sets in Polish spaces - those topological spaces which are separable and completely metrizable. The subject has long thrived in its connections with classical areas of mathematics such as harmonic and functional analysis and logic. Over the course of the last 25 years, however, a vast number of new interactions have opened up the field to novel and exciting directions. The semester long program will organize a number of activities in and around modern aspects of descriptive set theory and its links with other areas of mathematics. An important focus is to facilitate research on the structure of Polish topological groups, which recently has gathered momentum partially due to work in descriptive set theory. The website for the program can be found here:https://bernoulli.epfl.ch/semesters/32/show

该奖项将为美国研究人员参加会议和研讨会提供支持，这些会议和研讨会将作为描述性集合论和波兰团体主题计划的一部分，于1月1日至6月30日在瑞士洛桑联邦理工学院（EPFL）的伯努利中心举行。描述性集合论经典上被定义为研究波兰空间中的可定义集合-这些拓扑空间是可分的和完全可度量的。 该主题长期以来一直蓬勃发展，与数学的经典领域，如谐波和功能分析和逻辑。然而，在过去的25年里，大量新的相互作用为该领域开辟了新的和令人兴奋的方向。本学期的课程将围绕描述性集合论的现代方面及其与其他数学领域的联系组织一些活动。一个重要的重点是促进波兰拓扑群的结构研究，最近已经聚集的势头部分由于工作在描述集理论。 该计划的网站可在此处找到：https://bernoulli.epfl.ch/semesters/32/show