  Successfully launched in June 2008, the Fermi Gamma-ray Space Telescope,
formerly named GLAST, has been observing the high-energy gamma-ray sky with
unprecedented sensitivity for more than two years, opening a new window on a
wide variety of exotic astrophysical objects. This paper is a short overview of
the main science highlights, aimed at non-specialists, with emphasis on those
which are more directly connected with the study of fundamental
physics---particularly the search for signals of new physics in the diffuse
gamma-ray emission and in the cosmic radiation and the study of Gamma-Ray Burst
as laboratories for testing possible violations of the Lorentz invariance.
