Joanna Kulaga-Przymus: B-free integers in number fields and dynamics

Recently, Sarnak initiated the study of the dynamical system determined by the square of the Moebius function (the characteristic function of the square-free integers). I will discuss the extension of his program to a more general setting given by B-free integers in number fields, suggested by Baake and Huck. This setting encompasses the classical square-free case and its generalizations studied by various authors. The talk will be based on the joint work with Aurelia Barnicka (arXiv: 1507.00855).