Emerging Trends in Geometric Functional Analysis (18w5081)


(University of Alberta)

(Texas A&M University)

(University of Missouri)

(Case Western Reserve University)


The Banff International Research Station will host the "Emerging Trends in Geometric Functional Analysis" workshop from March 25th to March 30th, 2018.

Asymptotic Geometric Analysis (AGA) is concerned with geometric and linear properties of finite dimensional objects, studying their characteristic behavior when the dimension, or a number of other relevant free parameters, grows to infinity. High dimensional systems appear naturally and play an essential role in mathematics and applied sciences. It is from the shared need to better understand similar phenomena that many breakthrough results have occurred in the last decade. The roots of AGA are in Functional Analysis but the area is now closely tied to Convex and Discrete Geometry, several areas of Probability including Random Matrix Theory, among others. By virtue of the general framework of AGA and its methods, it is situated at the "crossroads" of these fields. The focus of the conference is to cover connections between these fields, including the geometry of high-dimensional measures, affine isoperimetric inequalities and asymptotic non-limit theory of random matrices. The goal is to communicate new techniques that merge tools from the latter fields.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).