Conference: Categorical methods in representation theory and quantum topology

该奖项将主要支持早期研究人员参加将于2022年4月15日至17日和2022年4月18日至20日在弗吉尼亚大学举行的专题讨论会《表示理论和量子拓扑学中的分类方法》和杰出系列讲座《弗吉尼亚数学讲座》。研讨会将由主要专家就表象理论中的范畴化、量子群和量子拓扑学之间的联系进行演讲，以及职业生涯早期参与者的简短演讲。参与者将被介绍给令人兴奋的表示理论和拓扑学的新方向，并将为未来的项目积累经验。参加研讨会的数学研究人员和领域的多样性将促进新的合作和新的研究项目。研讨会将讨论链接同调、量子群、Hopf代数、分类以及这些主题之间的相互作用等主题。范畴化是研讨会和随后的系列讲座的中心主题，在现代数学的几个领域发挥了重要作用，包括表示理论和量子拓扑学。弗吉尼亚大学的这些活动旨在促进这些领域的专家和学生之间的交流。通过鼓励与顶尖专家互动和交流新出现的新思想，研讨会将提供一个平台，进一步推动科学进步，促进两个看似不同的领域之间的合作。研讨会网站是http://math.virginia.edu/ims/workshop-spring-2022.This奖，反映了国家科学基金会的法定使命，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。

The award will support participation of primarily early-career researchers in the workshop "Categorical Methods in Representation Theory and Quantum Topology," and the Distinguished Lecture Series "Virginia Mathematics Lectures," which will take place on April 15-17 and 18-20, 2022, respectively, at the University of Virginia. The workshop will consist of talks by leading experts on connections between categorification in representation theory, quantum groups, and quantum topology, as well as short talks by early-career participants. Participants will be introduced to exciting new directions in representation theory and topology, and will gain experience for future projects. The diversity of mathematical researchers and areas represented at the workshop will foster new collaborations and new research projects.The workshop will address topics on link homologies, quantum groups, Hopf algebras, and categorification, as well as interactions of these subjects. Categorification, which is the central theme of the workshop and subsequent lecture series, has played an important role in several areas of modern mathematics, including representation theory and quantum topology. These events at the University of Virginia seek to foster communications between experts and students in these fields. By encouraging interactions with leading experts and exchanges of emerging new ideas, the workshop will provide a platform to further scientific advances and facilitate collaborations between two seemingly different fields. The workshop website is http://math.virginia.edu/ims/workshop-spring-2022.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.