Minimal Surfaces and Geometric Flows

该奖项支持美国研究人员参与由首席研究员共同组织的“最小表面和几何流动”项目，该项目将于2021年1月18日至29日在位于澳大利亚维多利亚州克雷斯维克校区的墨尔本大学矩阵研究所举行。活动的第一周提供了两个针对初级研究人员的冬季学校风格的迷你课程。第二周的重点是会议形式的研究研讨会，由初级和高级研究人员介绍他们的研究。重点放在该领域专家之间的互动和年轻研究人员的培训机会上。该计划旨在汇集来自不同国家的数学家，他们目前正在研究经典和非局部几何问题，对经典和非局部最小曲面的分类和正则性结果的研究特别感兴趣，与几何兴趣的椭圆问题的谱分析相关的问题，最大原理，振荡定理，以及经典和非局部几何流解的存在性和定性性质。第一周由迷你课程组成，初级参与者接受对这一新兴领域的最新介绍，重点是互动和讨论。在第二周，高年级和低年级的参与者将展示这些研究领域的最新进展。https://www.matrix-inst.org.au/events/pminimal-surfaces-and-geometric-flows-interaction-between-the-local-and-the-nonlocal-worlds/This奖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。

This award supports the participation of U.S.-based researchers in the program "Minimal surfaces and geometric flows,'' co-organized by the principal investigator, to be held January 18-29, 2021 at the Matrix Institute, located on the University of Melbourne's Creswick campus, Victoria, Australia. The first week of the event offers two minicourses in the style of a winter school aimed at junior researchers. The second week is focused on research seminars in the style of a conference, with junior and senior researchers presenting their research. An emphasis is put on the interaction between experts in the area and training opportunities for young researchers.This program aims to bring together mathematicians from different countries that are currently working on classical and nonlocal geometric problems, with special interest in the study of classification and regularity results for classical and nonlocal minimal surfaces, problems related to spectral analysis of elliptic problems of geometric interest, maximum principles, oscillation theorems, and existence and qualitative properties of solutions to classical and nonlocal geometric flows. The first week consists of minicourses in which junior participants receive a state-of-the-art introduction to this emerging field, with an emphasis on interaction and discussion. During the second week, senior and junior participants will present the latest developments in these areas of research.https://www.matrix-inst.org.au/events/pminimal-surfaces-and-geometric-flows-interaction-between-the-local-and-the-nonlocal-worlds/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.