International Conference to celebrate 200 years of Fourier analysis

该项目支持美国研究人员参加将于2022年6月27日至7月1日在爱丁堡国际数学科学中心（ICMS）举行的国际会议。 这次会议名为傅立叶分析@200，是为了庆祝傅立叶分析诞生200周年，傅立叶分析是一个对现代世界产生巨大影响的学科。傅立叶分析提供了将自然信号和算子分解成简单部分的工具，以及从其组成部分有效地重建这些信号和算子的工具。为期一周的会议将汇集该领域的国际知名专家，并将为早期职业研究人员提供展示他们的工作和形成新合作的机会。傅立叶的《分析理论》出版200周年恰逢傅立叶理论现代发展的一个非常活跃的时期。在过去五年的发展，例如，导致洞察行为的波和薛定谔方程，决议维诺格拉多夫的平均值猜想在解析数论，并取得重大进展的基本问题在几何测量理论。这些快速发展的事态发展提供了一个标志性的机会，使来自地球仪各地的专家聚集在一起，在最近这一引人注目的活动爆发的基础上再接再厉。美国研究人员出席此次活动将有助于交流想法和研究成果，并使这些研究人员能够将新技术带回本国机构。有关会议的更多信息，请访问：https://www.maths.ed.ac.uk/fourier200/This奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。

This project supports the participation of US-based researchers in an international conference to be held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh, June 27-July 1, 2022. The conference, entitled Fourier Analysis @200, is timed to celebrate the 200th year since the origin of Fourier analysis, a subject that has had a tremendous impact on the modern world. Fourier analysis provides tools for the decomposition of natural signals and operators into simple parts, and efficient reconstruction of such signals and operators from their constituent parts. The week-long conference will bring together internationally recognized experts in the field and will provide opportunities for early career researchers to present their work and form new collaborations.The 200th anniversary of the publication of Fourier’s Théorie analytique de la chaleur coincides with a remarkably active period in the modern development of Fourier's theory. Developments during the last five years, for instance, have led to insights into the behavior of the wave and Schrödinger equations, the resolution of Vinogradov’s mean value conjecture in analytic number theory, and significant progress on fundamental questions in geometric measure theory. These fast-moving developments present a signature opportunity to bring experts from across the globe together to build upon this remarkable recent burst of activity. The presence of US-based researchers at this event will allow for the exchange of ideas and research findings, and will enable these researchers to bring new techniques back to their home institutions. More information on the conference can be found at: https://www.maths.ed.ac.uk/fourier200/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.