Understanding the thermalization process of non-abelian plasmas is of great interest, particularly in cosmology and in relativistic heavy ion collisions. On the one hand, the dynamics of thermalization might have had important consequences at the end of the inflationary epoch in the early Universe. On the other hand, out-of-equilibrium Quantum Chromodynamics (QCD) can nowadays be studied in a repeated and systematic manner in relativistic heavy ion collisions (HICs). For the most part, HICs have been used to characterize the high-temperature phase of QCD, quark-gluon plasma, which behaves as a near-perfect fluid during the period of the collision when the temperature is above the deconfinement transition temperature. Nonetheless, our understanding of the process by which local thermal equilibrium is attained (“hydrodynamization”) in heavy ion collisions affects our interpretation of many observables in such collisions. Therefore, it is crucial to have qualitative and quantitative control over the thermalization/hydrodynamization process of QCD. In this talk, we will discuss a recent development in our understanding of the dynamics of hydrodynamization of Yang-Mills plasmas. Specifically, we focus on the weakly coupled description of a pure glue plasma in the framework of kinetic theory. Due to the nonlinear nature of the kinetic equation, finding intuitive and systematic organizing principles to study the dynamics of the distribution function starting from arbitrary initial conditions has proved to be challenging. Adiabatic Hydrodynamization is a novel framework that aims to provide such an organizing principle by identifying the long-lived solutions of the theory as the low-energy eigenstates of the time evolution operator of the theory (the “Hamiltonian”), provided that the (time-dependent) basis on which the Hamiltonian is formulated be such that the evolution is adiabatic. We work this out explicitly in a simplified version of QCD kinetic theory in a geometry motivated by HIC experiments. We conclude by laying out the prospects for studying more general kinetic theories in this framework.