Conference: PDE in Moab: Advances in Theory and Application

会议：摩押偏微分方程：理论与应用的进展

• 批准号: 2350128
• 负责人: Mark Allen
• 金额: $ 3.59万
• 依托单位: Brigham Young University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-04-15 至 2025-03-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2350128&HistoricalAwards=false
• 关键词: Conference; PDE; Moab; Advances; Theory

The purpose of this award is to fund a research conference on Partial Differential Equations (PDE) to take place on June 3-7, 2024, at the Utah State University (USU) building located in Moab, Utah. The conference, called "PDE in Moab: Advances in Theory and Application" will feature 14 invited talks, along with 9 contributed talks from early career mathematicians, with a total of approximately 40 participants. Funding attached to this grant will be used to support travel and lodging expenses for participants in the conference, with priority for junior participants who do not have access to other sources of travel funding. The conference website is https://pdemoab.byu.eduThis conference aims to explore the tools and methods of partial differential equations (PDE), and their applications in related fields such as geometric measure theory (GMT), harmonic analysis, and free boundary problems. Historically, these areas of mathematics have benefited from many fruitful interconnections. Indeed, pioneering advancements in free boundary problems adapted techniques from regularity theory in both PDE and GMT. Moreover, recent advances in both nonlinear and nonlocal PDE have enlarged the intersection of the aforementioned fields, thereby increasing interactions, collaborations, and the overall advancement of these areas. This conference will bring together experts from the areas of PDE, GMT, harmonic analysis, and free boundary problems to explore and build on recent progress. The list of speakers is comprised of a dynamic group of mathematicians specializing in complementary fields, many of whom already have intersecting interests. It is expected that by bringing these researchers together, there will be further interaction between research areas, leading to the cross-pollination of techniques and novel research results.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.

该奖项的目的是为2024年6月3日至7日在位于犹他州摩押的犹他州立大学（USU）大楼举行的有关部分微分方程（PDE）的研究会议。这次会议称为“摩押党的PDE：理论和应用程序的进步”，将有14次受邀演讲，以及来自早期职业数学家的9次演讲，共有大约40名参与者。该赠款附带的资金将用于支持会议参与者的旅行和住宿费用，而对于无法获得其他旅行资金来源的初级参与者来说，优先考虑。会议网站是https：//pdemoab.byu.eduthis会议旨在探索部分微分方程（PDE）的工具和方法，及其在相关领域的应用，例如几何测量理论（GMT），谐波分析和自由边界问题。从历史上看，这些数学领域从许多富有成果的互连中受益。实际上，自由边界问题的开创性进步从PDE和GMT中的规律性理论调整了技术。此外，非局部和非本地PDE的最新进展扩大了上述领域的交集，从而增加了相互作用，协作以及这些领域的整体进步。 这次会议将汇集来自PDE，GMT，Harmonic Analysis和自由边界问题的专家，以探索和建立最近的进步。演讲者名单由一个专门从事互补领域的数学家组成，其中许多人已经具有相交的兴趣。可以预期，通过将这些研究人员聚集在一起，研究领域之间将进一步相互作用，从而导致技术和新的研究结果的交叉授粉。该奖项反映了NSF的法定任务，并认为值得通过基金会的智力优点评估来支持，并具有更广泛的影响。