  We present the nonequilibrium implementation of the two-particle
self-consistent (TPSC) approach, which has been shown to provide a reliable
equilibrium description of interacting lattice systems in the weak- and
intermediate-correlation regime. This method captures the effects of local and
nonlocal correlations in two- and higher-dimensional systems and satisfies the
Mermin-Wagner theorem. We demonstrate the versatility of nonequilibrium TPSC
with calculations of the time-dependent spin and charge response functions and
the evolution of effective temperatures extracted from different correlation
functions, after interaction ramps in the two-dimensional Hubbard model.
