  The purpose of this note is to present several aspects of concentration
phenomena in high dimensional geometry. At the heart of the study is a
geometric analysis point of view coming from the theory of high dimensional
convex bodies. The topic has a broad audience going from algorithmic convex
geometry to random matrices. We have tried to emphasize different problems
relating these areas of research. Another connected area is the study of
probability in Banach spaces where some concentration phenomena are related
with good comparisons between the weak and the strong moments of a random
vector.
