ContentsHyper-Kähler manifolds (by A. Dancer)Compact Riemannian manifolds with exceptional holonomy (by D. Joyce)Kähler-Einstein manifolds of positive scalar curvature (by G. Tian)Quaternion-Kähler Geometry (by S. Salamon)3-Sasakian manifolds (by C. Boyer & K. Galicki)Ricci flow and Einstein metrics in low dimensions (by B. Chow)Rigidity and compactness of Einstein metrics (by P. Petersen)Einstein deformations of hyperbolic metrics (by O. Biquard)Four-dimensional Einstein manifolds, and beyond (by C. LeBrun)Einstein metrics from symmetry and bundle constructions (by McKenzie Wang)General relativity (by K. Tod)The stability of Minkowski Space-Time (by D. Christodoulou)Einstein-Weyl Geometry (by D. Calderbank & H. Pedersen)