Workshops in Spectral Methods in Algebra, Geometry, and Topology

代数、几何和拓扑谱方法研讨会

• 批准号: 2230159
• 负责人: Paul Goerss
• 金额: $ 3万
• 依托单位: Northwestern University
• 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: 2022-09-15 至 2024-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2230159&HistoricalAwards=false
• 关键词: Workshops; Spectral; Methods; Algebra; Geometry

This NSF award provides support for early career U.S. based mathematicians to attend a summer school and two workshops to be held in the period from September to December 2022 at the Hausdorff Research Institute for Mathematics (HIM), Bonn, Germany. The summer school is called “Spectral Methods in Algebra, Geometry, and Topology” (September 19-23, 2022), and the two workshops are “Spectral Methods in Equivariant Mathematics” (October 24-28, 2022) and “Spectra, Triangles, and Higher Structures” (December 5-9, 2022). These events are associated with the trimester program "Spectral Methods in Algebra, Geometry, and Topology", founded on the observation that various areas of the mathematical fields of algebraic topology, algebraic geometry, representation theory, and algebra that have been historically regarded as separate and distinct are now in fact united by overlapping problems, common goals, related foundational questions, and similar techniques. The grant would provide training and career development for students, postdoctoral researchers, and early career faculty. The program will cover a diverse mixture of topics from algebra, geometry, and algebraic topology, centered around the theme of studying and applying spectral techniques and tensor-triangular structure. This includes traditional topics, such as classification problems in algebra or computations in chromatic homotopy theory, but also emerging topics in motivic homotopy theory and the interplay between infinity categories and representation theory. Further information about workshops and the program in general can be found at https://www.him.uni-bonn.de/programs/future-programs/future-trimester-programs/spectral-methods/description/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NSF奖为美国早期职业数学家提供了支持，将在2022年9月至2022年12月在德国波恩的Hausdorff研究学院（HIM）上参加暑期学校和两个研讨会。暑期学校被称为“代数，几何和拓扑中的光谱方法”（9月19日至23日，2022年），两个研讨会是“谱学数学的光谱方法”（10月24-28日，2022年10月24日至28日）和“光谱，三角形，三角形和更高的结构”（12月5-9日，2022年，2022年，2022年）。这些事件与妊娠计划“代数，几何和拓扑的光谱方法”有关，该观察是基于观察到的，即代数拓扑，代数几何学，代数几何，代表理论和代数的数学领域的各个领域历史上被认为是独立的，并且在事实上被视为与众不同的问题，这些问题与现实相关的问题，相关的问题，相关的问题，相关的是，与之相动，并且相动。该赠款将为学生，博士后研究人员和早期职业教师提供培训和职业发展。该程序将涵盖代数，几何和代数拓扑的主题的多样性混合，围绕研究和应用光谱技术和张量 - 三角形结构的主题。这包括传统主题，例如代数中的分类问题或色度同义理论中的计算，以及基序同质理论中的新主题以及无穷大类别和表示理论之间的相互作用。有关研讨会和该计划的更多信息，请访问https://www.him.uni-bonn.de/programs/future-programs/future-programs/future-trimester-programs/spectral-methods/spectral-methods/description/description/this wardis奖励，反映了NSF的法定任务，并通过评估了范围的范围，这是通过评估的范围来进行的。