International Conference on Microlocal Analysis, Harmonic Analysis, and Inverse Problems

该奖项支持将于2022年8月15日至17日在罗切斯特大学举行的关于微局部分析、调和分析和反问题的会议。这三个研究领域有许多交叉点，近几十年来各自都取得了巨大的进步。此外，这些领域的研究促进了漫反射和X射线层析成像、非侵入性成像和隐身技术等应用学科的进步。这次会议的目的是将在这三个研究领域之间工作的数学家聚集在一起，促进思想的交流，并为全球研究议程创造新的方向。会议还包括针对早期数学家的具体活动，旨在为这些研究人员提供宝贵的经验，以帮助他们进一步发展职业生涯。研讨会的目标是聚集三个研究领域的国际专家组：微局部分析、反问题和调和分析。预计在会议期间，各种议题将受到突出关注。这些内容包括黎曼流形上Laplace-Beltrami算子的特征函数界，Radon变换算子的正则性，Falconer距离集猜想及其最近的一些推广，以及傅立叶积分算子、反问题和积分几何之间的联系。会议计划包括具体活动，旨在促进来自三个重点研究领域的研究人员之间强有力的和信息丰富的对话，以及初级研究人员的专业发展机会。Https://people.math.rochester.edu/faculty/iosevich/allanconferencewebsite.htmlThis奖反映了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。

This award supports a conference on microlocal analysis, harmonic analysis, and inverse problems, which will take place August 15-17, 2022 at the University of Rochester. These three research areas have many points of intersection and have each seen tremendous progress in recent decades. Furthermore, research in these areas has led to advances in applied subjects such as diffuse and X-ray tomography, non-invasive imaging, and cloaking technology. The purpose of the conference is to bring together mathematicians working at the borders between these three research areas, to spur the cross-fertilization of ideas and generate new directions for the global research agenda. The conference also includes specific activities geared towards early-career mathematicians, and aims to provide such researchers with valuable experiences to help further their professional careers.The objective of the workshop is to bring together an international group of experts in three research areas: microlocal analysis, inverse problems, and harmonic analysis. A variety of topics are expected to receive prominent attention during the meeting. These include eigenfunction bounds for Laplace-Beltrami operators on Riemannian manifolds, regularity of Radon transform operators, Falconer’s distance set conjecture and some of its more recent generalizations, and connections between Fourier integral operators, inverse problems, and integral geometry. The conference program includes specific activities intended to promote a robust and informative dialogue among researchers from the three focus research areas, as well as opportunities for the professional development of junior researchers. https://people.math.rochester.edu/faculty/iosevich/allanconferencewebsite.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.