With the identification of a diffuse flux of astrophysical (“cosmic”) neutrinos in the TeV-PeV
energy range, IceCube has opened a new window to the Universe. However, the corresponding
cosmic landscape is still uncharted: so far, the observed flux does not show any clear associa-
tion with known source classes. The present talk summarizes the recent astrophysics results from
IceCube, starting with the observed flux of cosmic neutrinos and the related constraints on its
spectrum and flavour composition, continuing with the search for steady individual sources, and
ending with the search for transient emission of neutrinos. It also sketches IceCube’s multimes-
senger program. Finally, it gives a short outlook on plans to considerably enlarge IceCube and to
study the high-energy neutrino sky in much more detail than the present array permits.