Conference on Microlocal Analysis and Applications

该项目将资助职业生涯早期的美国参与者参加2019年6月在上海复旦大学举行的“微局部分析与应用”会议。这是该领域第一次在中国举行的会议，将集中讨论微局部分析的理论和应用，微局部分析是一个数学领域，研究如何在相空间中分析物理和几何中出现的许多方程的解，在相空间中，人们可以跟踪动量和位置。该项目将加强这一重要数学领域的培训，并将促进国际合作。该项目将资助美国初级研究人员，主要是博士后和高级研究生，也可能是来自非R1机构的终身教职研究人员，参加2019年6月在上海复旦大学举行的关于微局部分析理论和应用的会议。微局部分析是用相空间方法分析偏微分方程，它起源于20世纪60年代伪微分和傅立叶积分算子的发展，但最近它在纯数学和应用数学中的应用范围正在复兴。会议将探讨基本技术的进展以及最近在反问题、广义相对论、经典动力学和量子混沌等领域的应用。这笔赠款将加强美国在微局部分析方面的博士和博士后培训，并鼓励在这一奖项和相关fields.http://sites.math.northwestern.edu/fudan-microlocal/index.htmlThis奖项方面的国际合作，这反映了美国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 project will fund early-career US participants to attend a conference on "Microlocal Analysis and Applications" to be held at Fudan University in Shanghai in June 2019. This conference, the first ever in the field to take place in China, will focus on the theory and uses of microlocal analysis, a field of mathematics which studies how solutions to many equations arising in physics and geometry may be analyzed in phase space, where one keeps track of momentum as well as position. The project will enhance training in this important field of mathematics and will facilitate international collaborations.The project will fund junior US researchers, primarily postdocs and advanced graduate students, but possibly also tenure-track researchers from non-R1 institutions, to attend a meeting on the theory and applications of microlocal analysis at Fudan University in Shanghai in June 2019. Microlocal analysis, which is analysis of partial differential equations by phase space methods, has roots in the development of pseudodifferential and Fourier integral operators in the 1960s, but has of late been experiencing a renaissance in the breadth of its applications across pure and applied mathematics. The meeting will explore advances in fundamental techniques as well as recent applications in areas as diverse as inverse problems, general relativity, classical dynamics, and quantum chaos. The grant will enhance US doctoral and postdoctoral training in microlocal analysis as well as encouraging international collaborations in this and related fields.http://sites.math.northwestern.edu/fudan-microlocal/index.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.