Introduction to the Geometry of Scales

Coarse geometry has been a very effective tool in proving very powerful conjectures like the Baum-Connes conjecture (which includes the Novikov and Borel conjectures) and Gromov’s positive scalar curvature conjecture. The aim of my talk is to give motivation for the study of coarse geometry/uniform space theory and to discuss big ideas in the application of these two dual geometries.