On the notion of porosity and its applications in Geometric Measure Theory

A set in a metric space is said to be porous if each of its points sees nearby holes in the set of radius proportional to their distance away, at arbitrarily small scales. In this talk I will review some properties of the notion of porosity and its applications in Geometric Measure Theory; in particular in the study of the differentiability of Lipschitz functions. No previous knowledge by the audience in Geometric Measure Theory will be assumed.