Conference: Representation Theory and Related Geometry

这是一笔赠款，用于支持参加将于2024年5月27-31日在佐治亚州雅典的佐治亚大学举行的“表示理论和相关几何：进展和前景”会议。这次会议将汇集不同的与会者，讨论数学的两个关键领域及其相互作用。讲座将包括该地区的历史观点以及最新的数学突破。会议的一个目标是促进研究生、初级数学家和经验丰富的专家之间的会议，以分享知识并启发新的研究途径。除了正式邀请的演讲外，会议还将包括贡献演讲和讨论的机会。表示理论和几何的相互作用是最近表示理论许多突破的基础。主题将包括李(超)代数的表示理论，以及有限、代数和量子群；表示理论中的上同调方法；模表示理论；几何表示理论；范畴化；张量三角几何和非对易代数几何中的相关主题；等等。更具体的主题可能包括支持簇、上同调和扩张、内平凡模、Schur代数、张量三角几何和范畴化。会议的网站可以在https://sites.google.com/view/representation-theory-geometry/.This上找到，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。

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.