The last years have seen significant advancements in the development of Monte Carlo algorithms for predicting the structure of high-multiplicity scattering events in Quantum Chromodynamics across a wide range of energy scales. These algorithms, known as parton showers, describe the production of the tens or hundreds of final-state particles observed in high-energy collisions. Due to their accuracy and versatility, they play a critical role in nearly all particle physics analyses at modern accelerators like the Large Hadron Collider. In this talk, I will explore the strengths and limitations of parton showers, their critical role in the current and future collider physics programme, and the key ideas behind recent advancements in their theoretical precision.
