Special meeting: Asymptotic geometric analysis

特别会议：渐近几何分析

• 批准号: 0963819
• 负责人: Monika Ludwig
• 金额: $ 11万
• 依托单位: Polytechnic University of New York
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-07-01 至 2012-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0963819&HistoricalAwards=false
• 关键词: Special; meeting; Asymptotic; geometric; analysis

Asymptotic Geometric Analysis is concerned with geometric and linear properties of finite dimensional objects, normed spaces and convex bodies, especially with asymptotics of their various quantitative parameters as the dimension tends to infinity. The achievements of Asymptotic Geometric Analysis demonstrate new and unexpected phenomena characteristic for high dimensions. These phenomena appear in a number of domains of mathematics and adjacent domains of science dealing with functions of infinitely growing numbers of variables. The last few years have seen tremendous progress in the field of Asymptotic Geometric Analysis. The Thematic Program at the Fields Institute will be an opportunity to attract some of the leading mathematicians of our time and also to create an environment in which students could profit from the interaction with such top experts. New applications of Asymptotic Geometric Analysis will continue to have an impact on a broad range of fields, including combinatorics, complexity theory and probability.

渐近几何分析关注有限维对象、赋范空间和凸体的几何和线性性质，特别是当维数趋于无穷大时它们的各种定量参数的渐近性。渐近几何分析的成就展示了新的和意想不到的现象特征的高维。这些现象出现在一些数学领域和邻近的科学领域，处理变量无限增长的函数。 在过去的几年里，在渐近几何分析领域取得了巨大的进展。在菲尔兹研究所的专题计划将是一个机会，以吸引我们这个时代的一些领先的数学家，也创造了一个环境，使学生可以从与这些顶级专家的互动中获益。 渐近几何分析的新应用将继续对广泛的领域产生影响，包括组合学，复杂性理论和概率。