The geometry of convex domains in Euclidean space, which has its roots in the works of Minkowski and Blaschke, nowadays plays a central role in several branches of both pure and applied mathematics: functional and harmonic analysis, differential and integral geometry, discrete geometry, calculus of variations and, increasingly, in the study of algorithms in computer science. The purpose of this workshop is to focus on the latest advances and open challenges within the research field of convex geometry, by bringing together leader experienced lecturers and (also younger) expert researchers from (some of) the different already mentioned areas in which the convexity plays a fundamental role, who have contributed, and do continue to contribute, to the important recent developments in modern convex geometry.

It is also the aim of this summer school to present some fundamental topics of the most recent activity within Convex Geometry, and other close related to it, in order to encourage young researchers in the field, as well as any interested researcher in the topic, to continue with, initiate or cooperate within, research activities framed in this field. In particular, we want to promote collaborations between young and more experienced researchers which should maintain the momentum of recent developments in the theory of convex sets and its applications.

Thus, the summer school will consist of several 3-hours blocks of lectures of a tutorial nature which should bring the participants up to speed on the state of the art of the current research of the handled topic. In addition there will be a selection of research talks by further researchers on their most recent progress on some aspects of the topics covered within the lecture blocks. We also encourage young researchers to present posters with their work.