Copenhagen Centre for Geometry & Topology (GeoTop), University of Copenhagen 16-20 June 2025 The event will consist of three minicourses by our speakers, highlighting the various geometrical approaches to Einstein's theory of general relativity. In particular, the topics will include singularity theorems, topology of blackholes, constraint equations, connections between scalar curvature and mass of asymptotically flat spacetimes, and more. The target audience will be young researchers and students with a background in differential geometry or working in the field.