Conference: Potential Theory Workshop: Intersections in Harmonic Analysis, Partial Differential Equations and Probability

该项目旨在支持美国数学本科生和研究生参加将于2023年9月28日至10月6日在墨西哥瓜纳华托CIMAT举行的“势能理论研讨会：调和分析、偏微分方程和概率的交集”。研讨会的网页是：https://potentialtheory2023.eventos.cimat.mx/home_potentialAnalysis是数学的一个基础领域，在过去的一个世纪里一直在不断发展，并在许多其他领域的纯数学和应用数学中发挥着至关重要的作用。本次研讨会的目的是加强调和分析、偏微分方程式和墨西哥和美国概率论社区之间的互动。计划的活动包括顶尖专家的一系列演讲，一个由三个迷你课程组成的学校，其中包括问题课，全体讲座，针对高级本科生和研究生的不同小组讨论，以及为学生展示他们的研究的海报会议。该项目支持15名美国本科生和研究生到学校的旅费和当地费用。计划的主要成果之一是让美国的初级研究人员(本科生、研究生和博士后)接触到调和分析、偏微分方程和概率研究的前沿，突出他们之间的相互联系，并使他们有机会与来自美国和墨西哥的同行以及来自墨西哥、加拿大、美国和欧洲的知名数学家建立网络。该项目旨在建立/加强北美内部的联系，增加人员和思想的流动。参与者的多样性对组织者一直很重要：在决定迷你课程讲师、全体演讲者、特邀演讲者、小组成员以及该项目支持的参与者时。该奖项反映了NSF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 project is to support participation of US based mathematics undergraduate and graduate students in the "Potential Theory Workshop: Intersections in Harmonic Analysis, Partial Differential Equations and Probability" to be held from September 28th till October 6th, 2023 at CIMAT in Guanajuato, Mexico. The workshop's webpage is: https://potentialtheory2023.eventos.cimat.mx/home_potentialAnalysis is a foundational area of mathematics which has been in constant development over the last century, and which plays a crucial role in numerous other areas of pure and applied mathematics. The aim of this workshop is to strengthen the interactions between the harmonic analysis, partial differential equations and probability communities in Mexico and the US. The planned activities include a series of talks from leading experts, a school consisting of three mini-courses with problem sessions, a plenary talk, different panels geared toward advanced undergraduate students and graduate students and poster sessions for the students to show-case their research.This project supports the travel and local expenses for 15 US based undergraduate and graduate students to the school. One of the planned main outcomes is exposure of US based junior researchers (undergraduate, graduate students and postdocs) to the forefronts of research in harmonic analysis, PDEs and probability highlighting their interconnections and to give them an opportunity to network with peers from the USA and Mexico and with established mathematicians from Mexico, Canada, the USA and Europe. This project is designed to establish/strengthen connections and increase the flow of people and ideas within North America. The diversity of participants has been of importance for the organizers throughout: when deciding on the minicourse instructors, plenary speaker, invited speakers, panelists, as well as participants supported by this project.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.