Asymptotic geometric analysis, random matrices and related topics

该项目集中在渐近几何分析（阿加）的几个相关方向。该领域关注有限维对象的几何和线性性质，例如凸集和赋范空间，特别是当维度或其他一些相关的自由参数适当大或趋于无穷大时出现的特征行为。高维系统在数学和应用科学中非常常见，因此，对高维现象的理解变得越来越重要。在过去的十年里，随着新的强大技术的发展，主要是概率性质的，阿加有了巨大的增长。凭借阿加的一般框架，方法，其对相关领域的影响，阿加可以位于“十字路口”的许多分支的数学：功能分析，凸和离散几何，概率的几个领域。

The project concentrates on several related directions of Asymptotic Geometric Analysis (AGA). This field is concerned with geometric and linear properties of finite dimensional objects, such as convex sets and normed spaces, especially with the characteristic behavior that emerges when the dimension, or a number of other relevant free parameters, is suitably large or tends to infinity. High-dimensional systems are very frequent in mathematics and applied sciences, hence, understanding high-dimensional phenomena is becoming increasingly important. The last decade has seen a tremendous growth of AGA, with the development of new powerful techniques, mainly of probabilistic nature. By virtue of AGA's general framework, methods, and its impact on related fields, AGA can be situated at the "crossroads" of many branches of mathematics: functional analysis, convex and discrete geometry, and several areas of probability.