2003-2004 Special Year in Geometric and Spectral Analysis; Montreal, Canada

摘要本项目旨在资助美国学生和研究生参加加拿大蒙特利尔大学数学研究中心举办的2003-2004年“几何与谱分析特别年”。该计划为学生和研究生提供了一个独特的培训机会，他们对数学物理，奇点理论和数论的分析方面感兴趣。 有很少，如果有的话，其他可能性的学生和研究生得到这样一个系统的接触到当前的研究方向，在这样一个广泛的和相互关联的范围内的数学分析。 数学分析是科学技术的一个特别有力的工具。2003-2004特别年的研究主题来自与科学和技术重叠最多的数学和物理领域。

ABSTRACTThe proposal is to support US students and postgraduates to participation in the 2003-2004 Special Year in Geometric and Spectral Analysis at the Centre de Recherches Mathematiques of the University of Montreal, Canada. The program presents a unique training opportunity for students and postgraduates interested in aspects of analysis motivated by mathematical physics, singularity theory, and number theory. There are very few, if any, other possibilities for students and postgraduates to get such a systematic exposure to current research directions in such a wide and interrelated range of mathematical analysis. Mathematical analysis is an especially powerful tool for science and technology. The research themes of the 2003-2004 Special Year arise from the areas of mathematics and physics with the greatest overlap with science and technology.