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会议代数拓扑应用数学将提出10讲座罗伯特Ghrist集中在最近的应用代数拓扑及其方法的问题，在现代技术领域。具体应用包括：（1）传感器网络中的覆盖问题;（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（大型）数据集的统计;（4）系统的同步和一致性;（5）机器人运动规划和协调;以及（6）实验动力学的严格解释。这些问题中有许多是迫切的系统工程挑战，直接影响到安全，国防，制造业和商业。该系列将以一种方式组织，使学生能够了解代数拓扑，各种直接应用，最重要的是，全球视角，这将允许并鼓励学生找到新的应用。