CSDC/NTAG Seminar: Some topological dynamical systems of number-theoretic origin (Andreas Nickel)

We aim to construct topological dynamical systems with `small' symmetry group, `large' extended symmetry group and `interesting' entropy. In this talk we consider higher-dimensional binary shifts of number-theoretic origin. This includes the visible lattice points and the k-free integers in number fields, where we identify an interesting interplay between dynamical and number-theoretic notions. This is joint work with M. Baake, Á. Bustos, C. Huck, and M. Lemańczyk.