Conference on Microlocal Analysis and Applications

微局部分析与应用会议

• 批准号: 1830112
• 负责人: Jared Wunsch
• 金额: $ 1.25万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-06-01 至 2020-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1830112&HistoricalAwards=false
• 关键词: Conference; Microlocal; Analysis; Applications

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.

该项目将资助处于职业生涯早期的美国参与者参加将于 2019 年 6 月在上海复旦大学举行的“微局域分析与应用”会议。该会议是该领域首次在中国举行，将重点关注微局域分析的理论和应用，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，但也可能包括来自非 R1 机构的终身教授研究人员，参加关于2019 年 6 月在上海复旦大学学习微局域分析的理论与应用。微局域分析是通过相空间方法对偏微分方程进行分析，其根源在于 20 世纪 60 年代伪微分和傅立叶积分算子的发展，但是最近，它在纯数学和应用数学的应用范围上经历了复兴。 会议将探讨基础技术的进展以及反演问题、广义相对论、经典动力学和量子混沌等领域的最新应用。 该赠款将加强美国博士和博士后在微局域分析方面的培训，并鼓励该领域及相关领域的国际合作。 http://sites.math.northwestern.edu/fudan-microlocal/index.html 该奖项反映了 NSF 的法定使命，并已通过使用基金会的智力优点和更广泛的影响审查标准进行评估，被认为值得支持。