The last five years proved that Mathematical General Relativity is more lively than ever. It got itself a Nobel Prize, with help from Roger Penrose. Some long standing major research problems, namely stability of slowly rotating Kerr black holes and positivity of mass in all dimensions, have been announced as being solved [17,24,26]. In my talk in Oberwolfach I reported on some progress in the field, as biased by my research interests, ignoring topics which I expected to be covered by other speakers.The topics I discussed will be split into thematic sections, no order of importance implied.