Conference: Geometric Flows and Relativity

“几何流动和相对论”暑期学校和讲习班将于2024年3月11日至3月20日在乌拉圭举行；暑期学校将在蒙得维的亚举行，讲习班将在埃斯特角城举行。会议的第一部分，即暑期学校，将包括三个系列讲座，主题分别是平均曲率流、利玛奇流和几何流在数学相对论中的应用。会议的第二部分是一个为期3天的研讨会，将包括几场旨在讨论几何流和相关领域的最新令人兴奋的进展的会谈。本次会议的目标是：(1)向来自美国、南美和世界其他地区的研究生和早期职业研究人员介绍几何流和应用领域，让他们了解新的令人兴奋的发展，并与更资深的研究人员直接接触；(2)通过召集活跃的领先专家来促进研究；(3)通过加强不同机构之间的合作，特别是来自美国和南美的合作，支持国际环境和网络。几何分析是当今纯数学中最活跃和最令人兴奋的领域之一，特别是几何流，已被证明是分析微分几何、图像处理和数学物理中大量重要问题的有力工具，对这些领域的每个领域都产生了深远的影响。它们也自然地出现在各种物理环境中，如热力学、退火金属、晶体生长、火焰传播、磨损过程和共形场理论。因此，几何流引起了纯数学领域之外的各种科学家的兴趣，包括应用数学家、材料科学家和理论物理学家。由于所有这些原因，该领域已经获得了很大的国际兴趣，到目前为止，世界各地都有一个庞大的专家网络。这次会议将是在一个此类活动稀少的地区就这一活跃主题举行的一次国际聚会。该奖项反映了美国国家科学基金会的法定使命，并通过基金会的智力价值和更广泛的影响审查标准进行评估，认为值得支持。

The ``Geometric Flows and Relativity” summer school and workshop will take place during March 11—March 20, 2024 in Uruguay; the summer school will be held in Montevideo and the workshop in Punta del Este. The first part of the meeting, the summer school, will consist of three lecture series whose topics will be on mean curvature flow, Ricci flow and applications of geometric flows to mathematical relativity, respectively. The second part of the meeting, a 3-day workshop, will consist of several talks aiming to discuss recent exciting progress in geometric flows and related fields. The goals of this meeting are: (1) Introduce graduate students and early career researchers from the USA, South America and other regions of the world to the field of geometric flows and applications, allowing them to learn about new exciting developments and to have direct contact with more senior researchers; (2) Promote research, by bringing together active leading specialists; and (3) Support the international environment and network by strengthening the collaborations within different institutions, particularly from the USA and South America.Geometric analysis is one of the most active and exciting areas in pure mathematics today and geometric flows, in particular, have proven to be a powerful tool in the analysis of a large number of important problems in differential geometry, image processing and mathematical physics, leading to a profound impact on each of these fields. They also arise naturally in various physical contexts such as thermomechanics, annealing metals, crystal growth, flame propagation, wearing processes and conformal field theory. Geometric flows are therefore of interest to a diverse group of scientists outside of pure mathematical fields, including applied mathematicians, materials scientists and theoretical physicists. For all these reasons, the area has gained a large international interest to an extent that by now a large network of specialists are present all over the world. This meeting will be an international gathering on this active topic in an area where such events are sparse. Meeting’s webpage: http://www.cmat.edu.uy/~mreiris/ssw/SSW.htmlThis 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.