Perspectives on integral geometry

该奖项将支持将于2016年5月30日至6月3日在乔治亚州雅典市乔治亚大学举行的“积分几何透视”会议。尽管它有着悠久的历史，但只有在过去的几十年里，特别是在世纪之交以来，积分几何才开始作为一个连贯的数学学科成熟起来，无论是在其内部发展作为纯数学的一部分，还是在外部作为科学应用的强大工具的来源。这次会议将汇集在该主题的所有主要方面工作的研究人员，目的是促进进一步的进展。Alesker的赋值理论提供了一种极具洞察力的新语言，极大地增强了传统积分几何思想的深度和有效性，这种思想主要来自于Blaschke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。会议的目的是将所有主要的当代学科结合在一起，以促进进一步的内部发展，探索与纯数学其他部分的联系，并提高科学和技术应用的有效性。会议网站：https://faculty.franklin.uga.edu/fu/content/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