Exploring strongly interacting dark matter

Understanding the laws governing the dark matter dynamics in the Universe is undoubtedly one of the pressing questions inastro-particle physics. While investigations have focused on elementary particles as potential dark matter candidates, an equally interesting possibility arises if dark matter is a composite particle instead. I will take an overview of construction of such dark matter theories by extending the Standard Model with new non-Abelian sectors. I will further illustrate the benefits of connecting these constructions with lattice calculations. I will sketch the avenues of progress and highlight some of the open questions in this direction. Finally, I will exemplify the experimental signatures and impact of dark matter phenomenology.