Perspectives on integral geometry

积分几何的观点

• 批准号: 1552349
• 负责人: Joseph H. Fu
• 金额: $ 3.8万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-01-15 至 2016-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1552349&HistoricalAwards=false
• 关键词: Perspectives; integral; geometry

This award will support a conference "Perspectives on integral geometry" which will take place at the University of Georgia in Athens, GA on May 30 - June 3, 2016. Despite its long history, only in the past few decades, and especially since the turn of the century, has integral geometry begun to mature as a coherent mathematical subject, both in its internal development as a part of pure mathematics and externally as a source of powerful tools for scientific applications. This conference will bring together researchers working in all of the major strands of the subject, with the aim of catalyzing further progress.Alesker's theory of valuations has provided a penetrating new language that has greatly enhanced the depth and effectiveness of the traditional ideas on integral geometry, growing mainly from Blaschke's famous kinematic formulas. At the same time, integral geometry has found new applications in stochastic analysis and data compression. The aim of the conference is to bring all of the major contemporary strands of the subject together in order to promote further internal development, to explore connections with other parts of pure mathematics, and to enhance the effectiveness of applications to science and technology.conference website: https://faculty.franklin.uga.edu/fu/content/perspectives-integral-geometry

该奖项将支持会议“积分几何的观点”，这将发生在格鲁吉亚在雅典大学，GA在2016年5月30日至6月3日。尽管它的历史悠久，只是在过去的几十年里，特别是自世纪之交，已积分几何开始成熟，作为一个连贯的数学学科，无论是在其内部发展的一部分，纯数学和外部作为一个来源的强大工具，为科学应用。本次会议将汇集研究人员在所有主要的线索的主题，以催化进一步的进展的目的。阿列斯克的理论的估值提供了一个穿透新的语言，大大提高了深度和有效性的传统思想的积分几何，主要是从布拉施克的著名的运动公式。与此同时，积分几何在随机分析和数据压缩中也有了新的应用。会议的目的是把所有主要的当代分支学科聚集在一起，以促进进一步的内部发展，探索与纯数学其他部分的联系，并提高应用于科学和技术的有效性。https://faculty.franklin.uga.edu/fu/content/perspectives-integral-geometry