Perturbation theory to all orders for collider physics

Predictions for scattering processes at particle colliders are done using perturbation theory, mostly using Feynman diagrams. Increasing precision requires increasing the order to which one computes, but sheer complexity puts a block on that road. Even worse, the corrections in many situations are too large for comfort. In this talk I show how both these problems may be addressed simultaneously, an approach called resummation. Theoretical underpinnings, applications to LHC physics and some recent developments are discussed. The presentation is available here.