The two main objectives of this workshop were to put into focus rapid recent developments in the higher dimensional minimal model program and to consolidate advances in the geometry of Fano and Calabi-Yau 3-folds that have arisen over the last decade. In addition, the meeting helped plan how to exploit new results, methods and problems arising from these developments. These topics featured in several international programmes and conferences, including the 2007-08 Warwick EPSRC Algebraic Geometry symposium and the MSRI half-year program on Algebraic Geometry January-May 2009.