Carlos Hugo Jimenez (PUC-RIO)

In this talk we will review some probabilistic applications and tools developed in Asymptotic Geometric Analysis. Asymptotic Geometric Analysis is mainly concerned with geometric and linear properties of finite dimensional objects, such as convex sets and normed spaces, especially with the characteristic behavior that emerges when the dimension, or a number of other relevant free parameters, is suitably large or tends to infinity. High-dimensional systems are very frequent in mathematics and applied sciences, hence understanding of high-dimensional phenomena is becoming increasingly important.