Women in Noncommutative Algebra and Representation Theory Workshop 3

该奖项支持美国研究人员参加于2022年4月3日至8日在加拿大班夫国际研究站举行的WINART3“非交换代数和表示理论中的女性”研讨会。讲习班的目标是将在这些领域工作的专家和初级参加者聚集在一起，就研究项目进行合作，其主要重点是促进研究活动。将有8个研究小组，由4至6名参与者组成，每个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参加研讨会，并将大部分时间花在各自的项目上。研讨会还将包括一些介绍，以及更高级的演讲和专业发展活动。这种结构在之前的系列研讨会上非常成功：2016年的WINART1和2019年的WINART2。非交换代数和表示理论的领域长期以来一直紧密地交织在一起，但自从20世纪80年代量子群的出现以来更是如此。这些领域的成果在它们自己的权利上都是重要的，并且在塑造其他领域，如共形场论、算子代数的研究、弦理论、拓扑场论和各种形式的非交换几何方面也有很强的影响。WINART3研讨会将有各种各样的研究课题：聚类理论、Hopf代数及其表示理论、弱Hopf代数及其对代数的作用、无限维李论和Hochschild上同调。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，认为值得支持。

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.