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举行。会议的第一部分是暑期班，将由三个系列讲座组成，主题分别是平均曲率流、Ricci流和几何流在数学相对论中的应用。会议的第二部分，为期3天的研讨会，将由几个讲座组成，旨在讨论几何流动和相关领域最近令人兴奋的进展。这次会议的目标是：(1)将来自美国、南美和世界其他地区的研究生和早期职业研究人员介绍到几何流动和应用领域，使他们能够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)通过聚集活跃的领先专家来促进研究；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，特别是几何流动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强大工具，对这些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、金属退火法、晶体生长、火焰传播、磨损过程和保形场理论。因此，几何流对纯数学领域以外的各种科学家群体都很感兴趣，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，这一领域引起了国际上的极大兴趣，以至于到目前为止，世界各地都有一个庞大的专家网络。这次会议将是在这类活动很少的地区就这一活跃议题举行的一次国际会议。会议网页：http://www.cmat.edu.uy/~mreiris/ssw/SSW.htmlThis奖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。

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.