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

该奖项将为会议提供资金“调和分析应用凸几何的最新进展”，将于2023年4月22日至23日在北达科他州州立大学（法戈，ND）举行。凸几何领域的几个长期存在的开放问题最近已经成功地解决了使用调和分析技术。会议的目的是汇集该领域的四位专家，他们将分别为主要是美国研究生和博士后研究员的观众提供一门迷你课程。这将为他们提供最先进方法的培训，并将为他们提供与更高级研究人员合作的机会。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，并优先考虑妇女和其他代表性不足的群体。以下网站将提供有关会议的信息：https://sites.google.com/ndsu.edu/recent-advances/homeThe调和分析和凸几何的方法有着悠久的成功互动历史，并导致了许多长期存在的问题的解决方案，如Busemann-Petty问题，最近，Ulam的浮体问题，自20世纪40年代以来一直未解决。在这些最近的突破中使用的技术现在被理解为可能有助于解决其他开放的问题，其中四个拟议的发言人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。该奖项反映了NSF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.