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.
The project provided funding for US participants of the Thematic Program on Asymptotic Geometric Analysis, July - December 2010, at the Fields Institute in Toronto and the Workshop on Convexity and Asymptotic Analysis, April 2012, at CRM Montreal. Asymptotic Geometric Analysis is concerned with the mathematical study of geometric objects of many dimensions or many parameters. It has seen tremendous progress in recent years and has found numerous applications in Combinatorics, Mathematical Physics and Computer Science. During the Thematic Program at the Fields Institute and the Workshop at CRM, a significant number of young US participants had the opportunity to learn from the top experts about the most recent developments in Asymptotic Geometric Analysis, and US students were able to profit from interaction with top experts of the field. During the conferences, new ideas and directions were presented by leading mathematicians and informal discussions brought to light important new questions. US students and early stage researchers were able to attend a graduate course offered during the Thematic Program. Moreover, they had the opportunity to attend the weekly Research Seminar and Young Researcher Seminar, where they also presented their own results in an informal setting. As part of the Thematic Program on Asymptotic Geometric Analysis, Cédric Villani, who was awarded the Fields Medal in 2010, delivered a lecture with the title 'What is the fate of the solar system?' on Monday, November 1, 2010. As part of the outreach and training activities of the Thematic Program, this lecture as well as many of the talks given during the Program are accessible at the website of the Fields Institute: www.fields.utoronto.ca/programs/scientific/10-11/asymptotic/index.html
