Abstract
The classical picture of star-formation involves a process dominated by the material in the parental dense core. This is the underlying assumption for simulating the star- and disk-formation process in an isolated box, which has been widely used to learn about the star-formation process. The way in which the material is delivered down to the disk-forming scales plays a critical role, with important implications for planet formation. It controls the amount of angular momentum that is deposited in the central region, which affects the disk size and its chemical composition. Further, there is mounting observational evidence that the planet formation process starts earlier than previously thought, when material is still being deposited onto the disk from the surrounding environment. It is, therefore, crucial to understand the disk build-up phase, since this determines the initial conditions for planet formation. Here I will summarise the recent results highlighting how the star-formation process is influenced by the surrounding material, and I will discuss the next steps to further improve the star- and disk-formation process.