Topics in geometric analysis II

Geometric Analysis, which was traditionally dealing with smooth Riemannian manifolds has been developed over the last two decades to the context of non Riemannian metric spaces which may be quite irregular. This development has revitalized the subject of metric geometry which faded away after 1940. The goal of this course is to introduce the student to the basic notion of analysis on metric (measure) spaces, quasiconformal mappings, potential theory on metric spaces, etc. The subjects covered will vary each year.