Constraints on dark matter scenarios from measurements of the galaxy luminosity function at high-redshifts

Recent advancements in the detection of dim galaxies in the high-redshift universe are allowing to probe the faint-end of the UV galaxy luminosity function. These measurements are sensitive to the early abundance of low mass dark matter halos, thus they can be used to constrain models alternative to the standard cold dark matter paradigm which predict a suppression of the abundance of halos at low masses. Here I will review the state of art of these observations and present constraints on DM scenarios derived from high-resolution N-body simulations in combination with a statistical model of the UV-luminosity halo mass relation.