Sixth European Set Theory Conference

该奖项支持美国早期职业研究人员参加将于2017年7月3日至7日在布达佩斯阿尔弗雷德·雷尼研究所举行的由欧洲集合理论协会主办的一场备受瞩目的国际会议。这次会议是第六届欧洲集合理论学会会议，为早期职业研究人员提供了与该领域专家互动的机会，参加最新技术的教程，并听取最新研究的报告。会议的主页是：https://sites.google.com/site/6thestc/homeAdvances近十年来在集合论方面有了飞速的发展。在以前难以渗透的领域的新技术已经暴露了强迫公理，无限基数组合学和内模型理论的初步不同领域之间的相互作用。尽管在集合论的核心问题上取得了一些巨大的进展，但仍有一些基本问题仍然是一个谜。会议的范围将包括：波兰群的可定义作用理论，它们轨道空间的结构和分类，可定义等价关系和完全分类问题的密切相关研究（在模型论、可计算论、群表示、拓扑动力学、遍历论、算子代数和组合学中），PCF理论、基数算术、组合原理一致性强度的确定的研究进展，并应用到其他数学领域。

This award supports participation by early-career US-based researchers in a high-profile international meeting on set theory to be held July 3-7, 2017 under the auspices of the European Set Theory Society, in the Alfred Renyi Institute Budapest. This meeting, the 6th European Set Theory Society Conference, provides opportunities for early-career researchers to interact with experts in the field, to attend tutorials on recent techniques, and to hear reports of the latest research being undertaken. The homepage of the meeting is: https://sites.google.com/site/6thestc/homeAdvances in the recent decade in set theory have been rapid. New techniques in previously impenetrable areas have exposed interplay between the prima facie disparate areas of forcing axioms, infinite cardinal combinatorics, and inner model theory. Although there have been some tremendous progress on the core problems of set theory, still some fundamental problems remain a mystery. The scope of the conference will include: the theory of definable actions of Polish groups, the structure and classification of their orbit spaces, the closely related study of definable equivalence relations and complete classification problems (in model theory, computability theory, groups representations, topological dynamics, ergodic theory, operator algebras, and combinatorics), advances in the study of PCF theory, cardinal arithmetic, the determination of the consistency strength of combinatorial principles, and application to other fields of mathematics.