NSF/CBMS Regional Conference in the Mathematical Sciences: The Interplay Between Convex Geometry and Harmonic Analysis, July 29 - August 2, 2006

这次会议是凸几何和调和分析之间的接口。 第一个演讲者是A。Koldobsky教授，他将就调和分析师和几何学家共同感兴趣的一些主题发表十场演讲，特别关注傅里叶分析在凸几何中的应用（涉及凸体的截面和投影，对偶问题的问题），泛函分析和概率。讲座将普遍适用于分析师和几何学家，包括研究生和本科生。将特别提到尚未解决的普遍感兴趣的问题。 每天将有两个小时的讲座（上午和下午，星期六至星期三），以及特殊的研讨会，问题和帮助会议的学生。此外，还将安排非正式讨论的时间，以及开放的问题会议，以鼓励更高级的参与者之间的合作。凸几何与数论类似，在最低限度的先决条件下，问题陈述可能很容易理解，但可以使用各种工具来解决问题。这个问题是非常古老的，但目前的兴趣，因为最近推出的傅立叶变换方法和密切联系的几何有限维Banach空间，泛函分析，调和分析和概率论。

This conference is on the interface between convex geometry and harmonic analysis. The principle lecturer is A. Koldobsky of the University of Missouri, Columbia, who will deliver ten lectures on a number of topics of common interest to both harmonic analysts and geometers.Particular attention will be given to applications of Fourier analysis to convex geometry (questions involving sections and projections of convex bodies, duality problems), functional analysis and probability.The talks will be generally accessible to analysts and geometers, including graduate and undergraduate students. Particular mention will be made of unsolved problems of general interest. There will be two hour-length talks each day (morning and afternoon, Saturday through Wednesday), as well as special seminars, problem and help sessions for students. In addition, there will be time slots for informal discussions, and open problem sessions to encourage collaboration between the more advanced participants.Convex geometry is similar to number theory in that problem statements may easily be understood with aminimum of prerequisites, yet a wide array of tools may be brought to bear on the questions. The subject is very old, but is of current interest because of the recent introduction of Fourier transform methods and close ties to the geometry of finite dimensional Banach spaces, functional analysis, harmonic analysis and probability theory.