Аннотация:Development of new diagnostic techniques allowed, during the past few years, for a first series of measurements on the electrical resistivity of heavy ion beam generated high energy density (HED) matter. The experimental investigations have been carried out at the HHT laboratory of the Plasma Physics Department of the Gesellschaft fur Schwerionenforschung in Darmstadt. In this report we review the results of these experiments and discuss future experimental and theoretical work planned to be carried out within the framework of the HEDgeHOB collaboration for precise determination of the electrical resistivity of HIED matter.