Mid-Infrared Emission of Galaxies as a Tracer of Star Formation: Local Evidence and Implications at Intermediate and High Redshift Herve Aussel IfA I will review new results obtained with the ISO satellite on samples of local galaxies at mid-infrared wavelengths (MIR, from 5 to 20 microns), that lead to some modifications of the interpretation of the IRAS color-color diagram. While it was considered to be a measure of the global dust temperature of galaxies, and hence of their star formation activity, it is now more seen as an indicator of the relative importance of quiescent and star-bursting regions within the galaxies. Still, I will show that the MIR emission of galaxies can be used as a measure of their global star formation rate, and that it is now possible to build reliable templates of the emission of galaxies from the UV to the radio domain. This has important consequences for the interpretation of extragalactic number counts, obtained recently at 15 microns with ISO, that are in excess by a factor 10 with respect to the predictions of models without evolution. I will show that a large fraction of the infrared extragalactic background detected between 100 and 200 microns in the data of the COBE satellite has been resolved into discrete sources by the deep ISO surveys, and that this background is produced at intermediate redshifts. I will show that SIRTF deep surveys will resolve most of the background measured at longer wavelengths