CMO/Banff Workshop — Interplay between Geometric Analysis and Discrete Geometry

Convexity is a branch of classical mathematics and it is located at the confluence of geometry, analysis, topology and combinatorics. Although its origins can be traced back to Archimedes and its systematic study started at the end of the nineteenth century, it was not until the mid-twentieth century that convexity became a well established branch of mathematics. Nowadays, it is an important area that is attracting young researchers and students. Why? Because of its intrinsic beauty, it’s fascinating and intriguing open questions that have an instant intuitive appeal, but also, because of its many relations with other areas of mathematics and its multiple applications, such as in economics, engineering and data science. The purpose of this workshop is to bring together key people working in this area, in order to explore recent progress and to help focus on future research directions.