Symposium on Geometry and Analysis

山部纪念研讨会将于2022年9月30日至10月2日（周五至周日）在明尼苏达大学明尼阿波利斯校区的数学学院举行。今年是山部计划的十周年。每两年，数学学院的几何小组决定一个专题讨论会的主题。今年的主题是“几何与分析”。主讲人将是加拿大英属哥伦比亚大学的Ailana Fraser、加拿大麦吉尔大学的关鹏飞、普林斯顿大学的Fernando Marques、芝加哥大学的Andre Neves、加州大学伯克利分校的Antoine Song、加州大学伯克利分校的Sun Song、斯坦福大学的Brian White和日本学习院大学的Sumio Yamada。它们共同代表了几何分析中广泛的主题。这次研讨会的目的是让我们的参与者对几何分析的一些最新发现有更深的了解，并提出在这些发现的基础上出现的新问题。这将有助于参与者和研究人员对这些新发展获得更广阔的视野，并弥合日益不同的研究趋势。研讨会将讨论最小子流形的构造和分析、平均曲率流的奇异性和稳定性、广义相对论中的Ricci流和爱因斯坦方程。这些主题在几何分析中是非常重要的，并且最近经历了突破和重大进展。正如受邀演讲者的名单所示，所有这些领域都将由我们的研讨会和世界领先的专家很好地涵盖。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。

The Yamabe Memorial Symposium will be held from Friday through Sunday, September 30 to October 2, 2022, at the School of Mathematics, on the Minneapolis campus of the University of Minnesota. This year is the tenth anniversary of the Yamabe program. Each biennium, the geometry group of the School of Mathematics decides on a theme for the Symposium. The theme for this year is "Geometry and Analysis". The principal speakers will be Ailana Fraser, University of British Columbia (Canada), Pengfei Guan, McGill University (Canada), Fernando Marques, Princeton University, Andre Neves, University of Chicago, Antoine Song, University of California at Berkeley, Song Sun, University of California at Berkeley, Brian White, Stanford University, and Sumio Yamada, Gakushuin University (Japan). Together they represent a wide spectrum of topics in geometric analysis. The purpose of this Symposium is to bring to our participants a deeper understanding of some recent discoveries in Geometric Analysis, and to bring to the fore new issues that have arisen in light of them. This will help participants and researchers gain a wider perspective of these new developments and bridge increasingly disparate research trends.The symposium will cover topics including construction and analysis of minimal submanifolds, singularity and stability for mean curvature flow, Ricci flow and Einstein equation in general relativity. These topics are of central importance in geometric analysis and have recently experienced breakthroughs and significant progress. As the list of invited speakers shows, all these areas will be well-covered by our Symposium and leading experts in the world. The Yamabe Symposium webpage: https://cse.umn.edu/math/yamabe-memorial-symposium-2022This 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.