Descriptive Set Theory And Polish Groups at the Bernoulli Center

该奖项将支持美国的研究人员参加2018年1月1日至6月30日在瑞士洛桑联邦理工学院(EPFL)伯努利中心举行的关于描述集合论和波兰群体的主题项目的会议和研讨会。描述集论的经典定义是研究波兰空间中的可定义集-那些可分离且完全可度量化的拓扑空间。长期以来，这门学科在与调和、泛函分析和逻辑等经典数学领域的联系中蓬勃发展。然而，在过去25年的过程中，大量的新互动为该领域开辟了新的和令人兴奋的方向。为期一学期的课程将围绕描述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。一个重要的焦点是促进对波兰拓扑群结构的研究，最近这方面的势头有所增强，部分原因是描述集论的工作。该计划的网址为：here:https://bernoulli.epfl.ch/semesters/32/show

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