Conference: Representation Theory and Related Geometry

这是一笔资助，用于支持参加会议“表示理论和相关几何：进展和前景”，该会议将于2024年5月27日至31日在佐治亚州雅典的佐治亚大学举行。这次会议将汇集各种各样的参与者来讨论数学的两个关键领域及其相互作用。讲座将包括该领域的历史观点以及最新的数学突破。会议的目标是促进研究生、初级数学家和经验丰富的专家之间的会议，以分享知识并激发新的研究途径。除了正式邀请的会谈外，会议还将提供专题会谈和讨论的机会。表征理论和几何的相互作用是表征理论最近许多突破的基础。主题将包括李（超）代数，有限，代数和量子群的表示理论；表征理论中的上同调方法模表示理论；几何表征理论；categorification;非交换代数几何中的张量三角形几何及相关课题等等。更具体的主题可能包括支持变量、上同调和扩展、内平凡模、舒尔代数、张量三角形几何和分类。会议网站可在https://sites.google.com/view/representation-theory-geometry/.This上找到奖项反映了NSF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，被认为值得支持。

This is a grant to support participation in the conference "Representation theory and related geometry: progress and prospects" that will take place May 27-31, 2024 at the University of Georgia in Athens, GA. This conference will bring together a diverse set of participants to discuss two key areas of mathematics and their interplay. Talks will include historical perspectives on the area as well as the latest mathematical breakthroughs. A goal of the conference is to facilitate meetings between graduate students, junior mathematicians, and seasoned experts to share knowledge and inspire new avenues of research. In addition to the formally invited talks, the conference will include opportunities for contributed talks and discussion.The interplay of representation theory and geometry is fundamental to many of the recent breakthroughs in representation theory. Topics will include the representation theory of Lie (super)algebras, and finite, algebraic, and quantum groups; cohomological methods in representation theory; modular representation theory; geometric representation theory; categorification; tensor triangular geometry and related topics in noncommutative algebraic geometry; among others. More specific topics of interest may include support varieties, cohomology and extensions, endotrivial modules, Schur algebras, tensor triangular geometry, and categorification. The conference website can be found at https://sites.google.com/view/representation-theory-geometry/.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.