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奖项为早期职业生涯提供支持美国数学家参加暑期学校和两个研讨会，将于2022年9月至12月在德国波恩的豪斯多夫数学研究所（HIM）举行。暑期学校被称为“光谱方法在代数，几何和拓扑学”（2022年9月19日至23日），和两个研讨会是“光谱方法在等变数学”（2022年10月24日至28日）和“光谱，三角形和更高的结构”（2022年12月5日至9日）。这些事件与三个月计划“代数，几何和拓扑中的谱方法”有关，该计划建立在观察到代数拓扑，代数几何，表示论和代数的数学领域的各个领域历史上被认为是独立和不同的，现在实际上是由重叠的问题，共同的目标，相关的基础问题和类似的技术联合起来。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。 该计划将涵盖从代数，几何和代数拓扑主题的多样化的混合，围绕研究和应用频谱技术和张量三角结构的主题。这包括传统的主题，如分类问题在代数或计算色同伦理论，但也新兴的主题在motivic同伦理论和无穷大类别和表示理论之间的相互作用。有关研讨会和一般计划的更多信息可以在www.example.com上找到https://www.him.uni-bonn.de/programs/future-programs/future-trimester-programs/spectral-methods/description/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。