(Theory Colloquium)
I will present a brief review of the effects of neutrino masses on
cosmological observables such as the cosmic microwave background
anisotropies and the large-scale structure distribution, as well as the
current status of and future prospects for cosmological neutrino mass
measurements. I will discuss some recent efforts towards modelling
nonlinear effects in the large-scale matter power spectrum in the presence
of massive neutrinos.