Title: Towards quantifying fractality

Speaker: Xander Henderson

Abstract: While the term fractal is not well defined in mathematics, we generally understand the term to refer to set that possess "roughness" or "complexity" at all scales. This complexity can be detected and quantified by studying zeta functions associated to the set. In this talk, we will introduce the distance zeta function associated to a bounded subset of a metric space, then discuss several examples of fractal and non-fractal sets.