Mathematical Sciences: Conferences: Hard Problems in Mathematical Physics

小行星9314078 这项提议将部分资助一个题为“数学物理中的难题”的会议。 它将于1994年5月2日、3日、4日在密歇根大学举行。 会议将有多达18个50分钟的讲座连同贡献的海报。 会议集中讨论数学中的问题和思想，这些问题和思想是由理论物理的直觉所激发的。 统一的主题是重整化群哲学，它出现在20世纪60年代的物理学文献中。 它是一种通过比较系统在不同长度尺度上的行为来分析物理系统的方法。 许多明显不同的问题已经在重整化群哲学的框架内进行了分析。 其中包括从辐射数据重建图像的重要技术问题--在健康领域的MRI和CAT扫描中，在石油威尔斯的能量场检测中。 另一个例子是分析通过随机介质（如海洋）传播的信号。 这是确定平均海洋温度的一种方法--这是环境规划的一个关键因素。 这次会议是不寻常的，因为大多数发言者都对物理学有深刻的理解，以及优秀的数学家。 它应该激励主要是数学的观众与物理学家和其他科学家互动的问题和想法都是数学上有趣的和科学上重要的。 ***

9314078 Conlon This proposal is to partly fund a conference entitled "Hard Problems in Mathematical Physics". It is to be held at the University of Michigan on May 2nd, 3rd, 4th, 1994. The meeting will feature up to 18 fifty minute lectures together with contributed posters. The conference concentrates on problems and ideas in mathematics which are motivated by intuitions from theoretical physics. The unifying theme is the renormalization group philosophy which emerged in the physics literature in the 1960's. It is a way of analyzing a physical system by comparing the behavior of the system on different length scales. Many apparently diverse problems have been analyzed within the framework of the renormalization group philosophy. Among these are important technological problems of image reconstruction from radiation data -- in the health field MRI and CAT scans, in the energy field detection of oil wells. Another example is the analysis of signals propagating through a random medium such as the ocean. This is a way of determining average ocean temperature - a key factor for environmental planning. This conference is unusual in that most of the speakers have a deep understanding of physics as well as being excellent mathematicians. It should motivate the mostly mathematical audience to interact with physicists and other scientists for problems and ideas which are both mathematically interesting and scientifically important. ***