Canada-Mexico-USA Conference in Representation Theory, Noncommutative Algebra, and Categorification

加拿大-墨西哥-美国表示论、非交换代数和分类会议

• 批准号: 2205730
• 负责人: Aaron Lauda
• 金额: $ 3万
• 依托单位: University of Southern California
• 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: 2022-04-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2205730&HistoricalAwards=false
• 关键词: Canada; Mexico; USA; Conference; Representation

The award will fund the Canada-Mexico-USA Conference in Representation Theory, Noncommutative Algebra, and Categorification that will take place in Northeastern University, Boston in June 2022. Representation theory is a branch of mathematics that studies symmetries of physical theories and of mathematical objects. Often the main objects in representation theory are only the shadow of richer structures that are recovered through deeper study. Noncommutative algebra is a related branch of mathematics that studies deformations of commutative objects found in quantum theories, representation theory, and geometry. The foci of the conference will be on recent advances at the interface of representation theory and noncommutative algebra; on fostering an environment for the establishment of international collaborations between Canada, Mexico, and the USA in these research areas; and on exposing graduate students, post-docs, and early-career faculty in the three countries to current developments in the field. A poster session will run through the full meeting where earlier-career attendees will present their research.The main scientific topics for the fourth meeting in this series of Canada-Mexico-USA conferences will be geometric, algebraic, and homological methods in representation theory, representation theoretic and homological properties of noncommutative algebras, and the investigation of those problems using categorical methods. The talks will cover some of the most recent trends including: cluster algebras, monoidal and additive categorifications, quantum symmetries, finite tensor categories, representations of quantized affine Kac-Moody algebras, Calabi-Yau algebras and triangulated categories, Hopfological algebra, web approaches to modular representation theory, and representation theoretic aspects of Heegaard-Floer homology. For more information on the conference, see https://yakimov.sites.northeastern.edu/can-mex-us-conf-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.

该奖项将在2022年6月在波士顿东北大学举行的代表理论，非共同代数和分类的加拿大 - 墨西哥 - 美国会议。通常，表示理论中的主要对象只是通过更深入研究恢复的富裕结构的阴影。非共同代数是数学的相关分支，该分支研究了在量子理论，表示理论和几何形状中发现的交换对象的变形。会议的重点将是关于代表理论和非共同代数的界面的最新进展；关于在加拿大，墨西哥和美国在这些研究领域建立国际合作的环境；并在这三个国家 /地区揭露研究生，职业生涯后和早期职业教职员工，以了解该领域的当前发展。海报会议将在完整的会议上进行，较早的参与者将展示他们的研究。这一系列加拿大 - 墨西哥 - 美国会议的第四次会议的主要科学主题将是几何，代数和同源方法，代表理论，代表性和同源性特性，以及使用这些问题的非共同代数方法，以及使用这些问题的问题。谈判将涵盖一些最近的趋势，包括：群集代数，单体和添加剂分类，量子对称性，有限张量类别，量化量化的仿期KAC-MOODY代数，Calabi-Yau代数，三角形类别的代数，HopFodical Algebra，HopFological Algebra，Hopforalical Algological Algerogical Algeal Algebra，以及Modeartial代表性的代表性和代表。同源性。 有关会议的更多信息，请参见https://yakimov.sites.northeastern.edu/can-mex-us-conf-2022/..this Award反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛的审查标准来通过评估来通过评估来支持的。