Conference: Representation Theory and Related Geometry

会议：表示论及相关几何

• 批准号: 2401049
• 负责人: Laura Rider
• 金额: $ 4.6万
• 依托单位: University of Georgia Research Foundation Inc
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-04-15 至 2024-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2401049&HistoricalAwards=false
• 关键词: Conference; Representation; Theory; Related; Geometry

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.

这是一个补助金，以支持参加会议“表示理论和相关的几何：进展和前景”，将于2024年5月27日至31日在雅典，佐治亚州的格鲁吉亚大学举行。本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。会谈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，分享知识，激发新的研究途径。除了正式邀请的演讲外，会议还将包括有贡献的演讲和讨论的机会。表示论和几何的相互作用是表示论最近许多突破的基础。主题将包括李（超）代数的表示理论，有限，代数和量子群;表示理论中的上同调方法;模块表示理论;几何表示理论;分类;张量三角几何和非交换代数几何中的相关主题;等等。 感兴趣的更具体的主题可能包括支持品种，上同调和扩展，endovrivial模，舒尔代数，张量三角几何和分类。会议网站可以在www.example.com上找到https://sites.google.com/view/representation-theory-geometry/.This奖项反映了NSF的法定使命，并被认为值得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来支持。