Conference on Algebraic Topology and Topological Data Analysis

代数拓扑与拓扑数据分析会议

• 批准号: 2223905
• 负责人: Kirsten Wickelgren
• 金额: $ 4.96万
• 依托单位: Duke 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: 2022-07-15 至 2024-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2223905&HistoricalAwards=false
• 关键词: Conference; Algebraic; Topology; Topological; Data

This award provides support for speakers and participants of the conference “Algebraic Topology and Topological Data Analysis” to be held at the Institute for Mathematics and its Applications in Minneapolis, during August 1-5, 2022. The conference brings together researchers in pure and applied mathematics and data science to promote the progress of the study of shape and its applications to data. Furthering our understanding of the shape of data facilitates data driven discovery in a wide range of fields, including national health. The week-long conference will explore topics at the confluence of the theoretical area of Algebraic Topology and the modern application oriented Topological Data Analysis. As such it has a strong potential to seed new research directions which will not only widen the landscape of topological techniques in data analysis but would also suggest new possible directions within algebraic topology. The conference talks will particularly benefit early career researchers through exposure to some of the latest results across a wide swath of topics in topology and its applications. This conference will bring together researchers from both traditional aspects within Algebraic Topology with more recently developed techniques such as those from Topological Data Analysis and Applied Algebraic Topology. Conference topics include various flavors of homotopy theory (categorical, stable, motivic), topological vector bundles, Azumaya algebras, K-theory, persistent homology, dimension reduction, topological time series analysis, configuration spaces, and applications to other scientific fields. The conference webpage is https://ima.umn.edu/2021-2022/SW8.1-5.22.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.

该奖项为演讲者和“代数拓扑和拓扑数据分析”会议的参与者提供支持，该会议将于2022年8月1日至5日在明尼阿波利斯数学及其应用研究所举行。该会议汇集了纯数学和应用数学以及数据科学的研究人员，以促进形状研究及其在数据中的应用的进展。进一步了解数据的形状有助于在包括国家健康在内的广泛领域进行数据驱动的发现。为期一周的会议将探讨代数拓扑理论领域和面向现代应用的拓扑数据分析的融合主题。因此，它有很强的潜力，种子新的研究方向，这不仅将扩大景观的拓扑技术在数据分析，但也将提出新的可能的方向内代数拓扑。会议会谈将特别有利于早期的职业研究人员通过接触到一些最新的成果，在广泛的主题在拓扑结构及其应用。 本次会议将汇集研究人员从两个传统的方面在代数拓扑与最近开发的技术，如那些从拓扑数据分析和应用代数拓扑。会议主题包括同伦理论的各种风味（分类，稳定，motivic），拓扑向量丛，Azumaya代数，K理论，持续同源，降维，拓扑时间序列分析，配置空间，以及其他科学领域的应用。会议网页是https://ima.umn.edu/2021-2022/SW8.1-5.22.This奖反映了NSF的法定使命，并已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的支持。