Sixth European Set Theory Conference

第六届欧洲集合论会议

• 批准号: 1730786
• 负责人: Alan Dow
• 金额: $ 2.4万
• 依托单位: University of North Carolina at Charlotte
• 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: 2017-06-01 至 2018-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1730786&HistoricalAwards=false
• 关键词: Sixth; European; Set; Theory; Conference

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.

该奖项支持职业生涯早期的美国研究人员参加由欧洲集合论协会主办的备受瞩目的集合论国际会议，会议将于2017年7月3日至7日在布达佩斯阿尔弗雷德·伦伊研究所举行。这次会议是第六届欧洲SET理论协会会议，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，并听取正在进行的最新研究的报告。会议的主页是：https://sites.google.com/site/6thestc/homeAdvances在近十年来在集合论方面发展迅速。以前难以突破的领域中的新技术已经暴露了强迫公理、无限基数组合学和内部模型理论这三个表面上截然不同的领域之间的相互作用。虽然集合论的核心问题已经取得了一些巨大的进展，但仍然有一些根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，其轨道空间的结构和分类，可定义等价关系和完全分类问题(在模型论、可计算性理论、群表示、拓扑动力学、遍历理论、算子代数和组合学中)的密切相关研究，PCF理论、基数算法、组合原理相容强度的确定以及在其他数学领域的应用的研究进展。