Women in Noncommutative Algebra and Representation Theory Workshop 3

非交换代数和表示论中的女性研讨会 3

• 批准号: 2203108
• 负责人: Gordana Todorov
• 金额: $ 1.35万
• 依托单位: Northeastern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-04-15 至 2023-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2203108&HistoricalAwards=false
• 关键词: Women; Noncommutative; Algebra; Representation; Theory

This award supports the participation of US-based researchers in the workshop WINART3, Women in Noncommutative Algebra and Representation Theory, held at the Banff International Research Station, Banff, Canada on April 3-8, 2022. The goal of the workshop is to bring together experts and junior participants working in these fields to collaborate on research projects, and its primary focus is to facilitate research activities. There will be eight research groups consisting of four to six participants, each led by two research leaders. Each group will come to the workshop with a prepared plan and project and spend most of the workshop working on their respective projects. The workshop will also feature several introductory, as well as more advanced, talks, and professional development activities. This structure was very successful in previous workshops in the series: WINART1 in 2016 and WINART2 in 2019.The fields of noncommutative algebra and representation theory have long been closely intertwined, but even more so since the emergence of quantum groups in the 1980s. The results in these fields have been significant in their own right and also have had a strong influence in shaping other fields such as conformal field theory, the study of operator algebras, string theory, topological field theory, and the various forms of noncommutative geometry. There will be a variety of research topics present at the WINART3 workshop: cluster theory, Hopf algebras and their representation theory, weak Hopf algebras and their actions on algebras, infinite-dimensional Lie theory, and Hochschild cohomology. The workshop website is: https://women-in-ncalg-repthy.org/conferences/winart3-workshop/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.

该奖项支持美国研究人员参加 WINART3“非交换代数和表示论中的女性”研讨会，该研讨会于 2022 年 4 月 3 日至 8 日在加拿大班夫国际研究站举行。该研讨会的目标是聚集这些领域的专家和初级参与者来合作开展研究项目，其主要重点是促进研究活动。将有八个研究小组，由四到六名参与者组成，每个研究小组由两名研究负责人领导。每个小组将带着准备好的计划和项目来到研讨会，并在研讨会上花大部分时间研究各自的项目。该研讨会还将举办一些介绍性以及更高级的讲座和专业发展活动。这种结构在该系列之前的研讨会：2016 年的 WINART1 和 2019 年的 WINART2 中非常成功。非交换代数和表示论领域长期以来一直紧密相连，自 20 世纪 80 年代量子群出现以来更是如此。这些领域的成果本身就具有重要意义，并且对其他领域的形成也产生了强大的影响，例如共形场论、算子代数研究、弦理论、拓扑场论以及各种形式的非交换几何。 WINART3 研讨会将呈现各种研究主题：簇理论、Hopf 代数及其表示论、弱 Hopf 代数及其对代数的作用、无限维李理论和 Hochschild 上同调。研讨会网站为：https://women-in-ncalg-repthy.org/conferences/winart3-workshop/该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。