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日在北达科他州州立大学(北达科他州法戈，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。最近利用调和分析技术成功地解决了凸几何领域中的几个长期悬而未决的问题。会议的目标是聚集该领域的四名专家，他们每人将为主要在美国的研究生和博士后研究员提供一个迷你课程。这将为他们提供最先进的方法培训，并将打开与更资深研究人员合作的机会。大部分资金将用于支持研究生和职业生涯早期研究人员的参与，优先考虑妇女和其他任职人数不足的群体的成员。以下网站将提供有关会议的信息：调和分析和凸几何的https://sites.google.com/ndsu.edu/recent-advances/homeThe方法有着成功互动的悠久历史，并导致一些拟议的主要演讲者解决了许多长期存在的问题，例如布斯曼-佩蒂问题和最近的乌兰浮体问题，该问题自20世纪40年代以来一直没有解决。最近这些突破中使用的技术现在被认为可能有助于解决其他未决问题，在这些问题中，四位拟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提供这些非常活跃的研究领域的培训。将有一个面向研究生展示他们的工作的海报会议，以及一个关于公开问题的特别小组。这个奖项反映了NSF的法定使命，并通过使用基金会的智力优势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.