Arianna Di Cintio - May 29, 2015 The LCDM model at small scales: cusp-core dichotomy in the Local Group of galaxies Using a suite of simulated galaxies we investigate the effects of baryonic feedback on the density profiles of dark matter haloes. The main result is a clear dependence of the inner slope of the dark matter density profile on the ratio between stellar-to-halo mass. The most cored galaxies are expected to have Vrot~50km/s while massive spirals, with Vrot>150km/s, are approaching again the NFW profile. This prediction for cusps vs cores can be applied to the Local Group galaxies and it allows to reconcile at the same time abundance matching prediction, the measured shallow dark matter profile in some of the LG members, the “too big to fail” problem and the star formation efficiency of such galaxies.