  In this article we give an overview of the concept of universal dynamics near
non-thermal fixed points in isolated quantum many-body systems. We outline a
non-perturbative kinetic theory derived within a Schwinger-Keldysh closed-time
path-integral approach, as well as a low-energy effective field theory which
enable us to predict the universal scaling exponents characterizing the time
evolution at the fixed point. We discuss the role of wave-turbulent transport
in the context of such fixed points and discuss universal scaling evolution of
systems bearing ensembles of (quasi) topological defects. This is rounded off
by the recently introduced concept of prescaling as a generic feature of the
evolution towards a non-thermal fixed point.
