Perspectives on integral geometry

积分几何的观点

• 批准号: 1632753
• 负责人: Joseph H. Fu
• 金额: $ 3.8万
• 依托单位: University of Georgia
• 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 2017-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1632753&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

该奖项将支持将于2016年5月30日至6月3日在佐治亚州雅典的佐治亚大学举行的“积分几何展望”会议。尽管积分几何有很长的历史，但只是在过去的几十年里，特别是在世纪之交以来，积分几何才开始成熟为一门连贯的数学学科，无论是在内部发展为纯数学的一部分，还是在外部作为强大的科学应用工具的来源。这次会议将汇集这一学科所有主要领域的研究人员，目的是促进进一步的进展。阿莱斯克的赋值理论提供了一种具有穿透力的新语言，极大地提高了积分几何传统思想的深度和有效性，主要源于布拉施克著名的运动学公式。同时，积分几何在随机分析和数据压缩方面也有了新的应用。会议的目的是将当代该学科的所有主要分支聚集在一起，以促进内部发展，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。会议网站：https://faculty.franklin.uga.edu/fu/content/perspectives-integral-geometry