Real and p-adic equidistribution

Real uniformly distributed sequences have been widely studied due to their connections to number theory and other fields of mathematics as well as their practical applications. In this talk, we review some of the most important concepts within this field. However, the notion of uniform distribution does not only make sense for real numbers but also in a p-adic setting. There are interesting parallels and differences to the real case which will be the main focus of the talk. The presentation will be kept accessible for a broad audience.