In this talk I will describe joint work with Shucheng Yu, on shrinking targets problems for discrete time flows on a homogenousspace Γ \bk G with G semisimple group and Γ an irreducible lattice. Our results apply to both diagonalizable and unipotent flows, and apply to very general families of shrinking targets. As a special case, we establish logarithm laws for cusp excursions of unipotent flows answering a question of Athreya and Margulis.