Debris disks in the Herschel era Debris disks are dusty disks orbiting mature stars. They owe their origin to collisional replenishment by small bodies and as such represent a major piece in the unfolding story of the nature of planetary systems. After their discovery by IRAS in 1982, their rich and diverse diagnostics have been studied by major ground-based facilities (VLT, VLTI, and, recently, ALMA) and space missions (HST, ISO, Spitzer). The role of Herschel is to offer for the first time the possibility to study their properties in the main domain in which they radiate their thermal energy, at an appreciable spatial resolution. Building on the important censuses Spitzer has achieved, Herschel has uncovered the anticipated existence of cold debris disks. We will discuss in detail the major results Herschel has achieved on nearby debris disks that can be well resolved spatially, in particular those of Vega, Beta Pictoris and Fomalhaut.