Visitor Program in Set Theory, Model Theory, and Applications

集合论、模型论及其应用访问者项目

• 批准号: 1833363
• 负责人: Simon Thomas
• 金额: $ 3万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-08-15 至 2023-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1833363&HistoricalAwards=false
• 关键词: Visitor; Program; Set; Theory; Model

Each September and October the Logic Group at Rutgers University organizes a visitor program that attracts participants from all career stages from all over the world. The key goal of the program is to foster collaborations and to share ideas among researchers in the field of logic as well as related mathematical areas. The program, which also includes a series of seminars, has been very successful in generating many important research results. This award supports participation in the visitor program activities during 2018 - 2020.The primary topics of the visitor program are set theory and model theory, and their applications to algebra and combinatorics. An important feature is the yearly involvement of Saharon Shellah, who is a leader in these fields of study. This award supports participation of approximately ten researchers each year, ranging from graduate students to leaders in the field, in a program that is a major asset for U.S. logic and contributes vigorously to the development of the subject on many levels.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

每年9月和10月，罗格斯大学的逻辑小组都会组织一个游客计划，吸引来自世界各地职业生涯各个阶段的参与者。该计划的主要目标是促进逻辑和相关数学领域的研究人员之间的合作和分享想法。该计划还包括一系列研讨会，在产生许多重要研究成果方面取得了非常成功的成果。该奖项支持参加2018-2020年间的访客计划活动。访客计划的主要主题是集合论和模型理论，以及它们在代数和组合学中的应用。一个重要特点是撒哈拉谢拉每年都参与，他是这些研究领域的带头人。该奖项每年支持大约10名研究人员参与该项目，从研究生到该领域的领导者，该项目是美国逻辑学的一项重要资产，并在许多层面上为该学科的发展做出了积极贡献。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

Ramsey theory for highly connected monochromatic subgraphs

高度连通的单色子图的拉姆齐理论

• DOI: 10.1007/s10474-020-01058-x
• 发表时间: 2021
• 期刊: Acta Mathematica Hungarica
• 影响因子: 0.9
• 作者: Bergfalk, J.;Hrušák, M.;Shelah, S.
• 通讯作者: Shelah, S.

A small ultrafilter number at smaller cardinals

较小基数的超滤器数量较少

• DOI: 10.1007/s00153-019-00693-8
• 发表时间: 2020
• 期刊: Archive for Mathematical Logic
• 影响因子: 0.3
• 作者: Raghavan, Dilip;Shelah, Saharon
• 通讯作者: Shelah, Saharon