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.

这次CBMS关于应用数学代数拓扑会议将介绍罗伯特·格里斯特（Robert Ghrist）的10次讲座，重点介绍了代数拓扑的最新应用及其在现代技术领域中的问题。特定应用包括（1）传感器网络中的覆盖范围问题； （2）网络上的传感器融合和数据聚合； （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）机器人运动计划和协调； （6）实验动力学的严格解释。这些问题中的许多是在安全，防御，制造业和商业中直接影响的急需系统工程挑战。该系列的构建方式将以使学生为代数拓扑，各种直接应用程序以及最重要的是，最重要的是，全球观点将允许学生找到新的应用程序。