The Clearing of Discs around Young Stars Circumstellar discs in young stars provide the raw material - gas and dust - for planet formation; discs also effect the radial re-distribution of planets and thus play a major role in shaping planetary architecture. Understanding the interplay between discs and planet formation and migration therefore requires a good understanding of how discs evolve and how they are dispersed. Currently, however, it is still debated whether discs are self-consumed through planet formation or whether planet formation occurs in competition with some other agent for disc dispersal. Much of this talk is devoted to new work that shows how the photoevaporation of gas from such discs by Xrays from the central star is an important agent for disc dispersal. The talk gives an overview of the disc properties that can be deduced from multi-wavelength data, increasingly supplemented by imaging, showing that our now good statistical knowledge of various stages of disc clearing is largely thanks to large scale surveys conducted in recent years by the Spitzer Space Telescope. I will briefly discuss the several candidate disc clearance mechanisms and then describe the theory of Xray photoevaporation in more detail, including also some observational signatures and possible discriminants. I conclude with a description of the bewildering zoo of "transition discs" (i.e. discs with cleared inner regions) and discuss the extent to which they can be understood in terms of clearing by photoevaporation / planet formation.