Numerical simulations are a fundamental tool in Theoretical Astrophysics to understand how the objects that populate our Universe formed and evolved. In this talk I am going to present the results of the Illustris simulation, one of the largest cosmological simulations ever performed, that follows the evolution of the Universe from the Big Bang to the present day. In particular, I will give a brief illustration of our current view on how galaxies are formed and what are the most important processes that shape their evolution.

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