INVITED TALK Session 3 (Theory Overview) Prestellar and Protostellar Cores Stella Offner (UMass Amherst, USA) I will review current theoretical models for the formation and evolution of dense cores. I will discuss the key physics underlying core properties, stability and collapse. I will report on state-of-the-art numerical calculations and discuss efforts to compare these to observations. Finally, I will summarize remaining open questions.