Understanding Cosmic Acceleration with Galaxy Redshift Surveys LUIGI GUZZO INAF - OSSERVATORIO DI BRERA, MILAN, ITALY The discovery that the Universe is accelerating will possibly be seen in a few years as one of the turning points in the history of cosmology. After nearly ten years, the origin of such accelerated expansion is still unknown. One possibility is that the Universe is permeated by a "dark energy" which gives rise to a gravitational repulsion. Alternatively, perhaps the very equations of General Relativity need to be modified or generalized to higher-dimensional worlds. In my talk I will first review these general ideas. I will then discuss some new perspective for understanding the nature of cosmic acceleration using large surveys of galaxy redshifts. Specifically, I will show how measurements of linear redshift-space distortions due to galaxy coherent motions can be used to trace the evolution of the growth rate of cosmic structures f(z) at different epochs, presenting a first application to data from the VVDS survey. Combined to estimates of the cosmic expansion rate H(z) that can be obtained from Baryonic Acoustic Oscillations, future larger redshift surveys, as those foreseen for the space missions EUCLID and JDEM, will be able to use these techniques to pinpoint the physical origin of the accelerated expansion, distinguishing true ’ªÒ ’ä›’¨Â’áò’ë­’åî’åò’çù’ªÑ models from modifications of the gravitation theory.