CBMS Regional Conference in the Mathematical Sciences: Algebraic Topology in Applied Mathematics; Summer 2009, Cleveland, OH

CBMS 数学科学区域会议：应用数学中的代数拓扑；

• 批准号: 0834140
• 负责人: Peter Bubenik
• 金额: $ 3.41万
• 依托单位: Cleveland State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-04-01 至 2010-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0834140&HistoricalAwards=false
• 关键词: CBMS; Regional; Conference; Mathematical; Sciences

This CBMS Conference on Algebraic Topology in Applied Mathematics will present 10 lectures by Robert Ghrist focusing on very recent applications of algebraic topology and its methods to problems in modern technological areas. Specific applications include (1) coverage problems in sensor networks; (2) sensor fusion and data aggregation over networks; (3) statistics of (large) data sets with coarse (or coordinate-free) geometric correlation; (4) synchronization and consensus of systems; (5) robot motion planning and coordination; and (6) rigorous interpretation of experimental dynamics. Many of these problems are imperative systems engineering challenges of direct impact in security, defense, manufacturing, and commerce.The series will be structured in a manner that prepares students with regards to the algebraic topology, the various direct applications, and, most importantly, the global perspectives that will allow and encourage students to find new applications.

本次 CBMS 应用数学代数拓扑会议将发表 Robert Ghrist 的 10 场讲座，重点关注代数拓扑的最新应用及其解决现代技术领域问题的方法。具体应用包括（1）传感器网络的覆盖问题； (2) 传感器融合和网络数据聚合； （3）具有粗略（或无坐标）几何相关性的（大）数据集的统计； (4)系统的同步和共识； (5)机器人运动规划与协调； (6) 实验动力学的严格解释。其中许多问题都是紧迫的系统工程挑战，对安全、国防、制造和商业产生直接影响。该系列的结构将帮助学生做好代数拓扑、各种直接应用的准备，最重要的是，全球视角将允许并鼓励学生寻找新的应用。