Conference: Recent advances in applications of harmonic analysis to convex geometry

该奖项将为将于2023年4月22日至23日在北达科他州立大学（Fargo， ND）举行的“调和分析在凸几何中的应用的最新进展”会议提供资金。近年来，调和分析技术已成功地解决了凸几何领域中几个长期存在的开放性问题。会议的目标是召集该领域的四位专家，他们每人将为主要是美国的研究生和博士后研究员的听众提供一个迷你课程。这将为他们提供最先进方法的培训，并为他们与更资深的研究人员开展合作提供机会。大部分资金将用于支持研究生和早期职业研究人员的参与，优先考虑妇女和其他代表性不足的群体的成员。以下网站将提供有关会议的信息：https://sites.google.com/ndsu.edu/recent-advances/homeThe谐波分析和凸几何的方法在成功的相互作用方面有着悠久的历史，并且由一些提议的主要演讲者解决了许多长期存在的问题，例如Busemann-Petty问题，以及最近的乌拉姆的浮体问题，该问题自20世纪40年代以来一直未得到解决。在这些最近的突破中使用的技术现在被认为对解决其他开放问题有潜在的用处，在这些问题上，四位被提议的演讲者有广泛的成功研究记录。本次会议旨在为美国早期职业数学家在这些非常活跃的研究领域提供培训。将有一个研究生展示他们作品的海报环节，以及一个关于开放问题的特别小组。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

This award will provide funding for the conference “Recent advances in applications of Harmonic Analysis to Convex Geometry”, to be held at North Dakota State University (Fargo, ND) on April 22-23, 2023. Several long-standing open problems in the area of convex geometry have recently been successfully solved using techniques from harmonic analysis. The objective of the conference is to bring together four experts in the field, who will each give a mini-course to an audience of mostly U.S. based graduate students and postdoctoral fellows. This will provide them with training in state-of-the-art methods and will open opportunities to start collaborations with more senior researchers. The majority of the funding will be used to support the participation of graduate students and early-career researchers, with priority given to women and members of other underrepresented groups. The following website will provide information about the conference: https://sites.google.com/ndsu.edu/recent-advances/homeThe methods of Harmonic Analysis and Convex Geometry have a long history of successful interaction and have led to solutions of many long-standing problems by some of the proposed main speakers, such as the Busemann-Petty problem and, very recently, Ulam’s floating body problem, which was unsolved since the 1940s. The techniques used in these recent breakthroughs are now understood to be potentially useful to solve additional open problems, in which the four proposed speakers have an extensive record of successful research. The present conference aims to provide training in these very active areas of research for U.S. early career mathematicians. There will be a poster session for graduate students to showcase their work, and a special panel on open questions.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.