Recent Advances in Comparison Geometry

The aim of the conference is bringing together international experts who are currently working on comparison geometry and related problems. The fundamental idea of comparison geometry is that of trying to understand the shape of some geometric objects in terms of the shape of suitable model configurations, which are in general simpler objects, sometimes explicit, equipped with a remarkable number of symmetries. Typical outcomes of this profound idea are geometric inequalities. Among the most basic and earliest examples there certainly is the classical Isoperimetric Inequality, where a suitable scaling invariant area-to-volume ratio is compared with that of the ball in the Euclidean space (model situation).