  Over the past couple of years we have had significant progress in determining
long-distance singularities in gauge-theory scattering amplitudes of massless
particles beyond the planar limit. Upon considering all kinematic invariants
much larger than the QCD scale, the singularities factorise into universal soft
and jet functions, leaving behind a finite hard-interaction amplitude. Such
factorization can now be implemented in full to three loops for arbitrary
scattering processes of massless partons. In particular, the soft anomalous
dimension for a general configuration of $n$ coloured particles was computed to
this order, where it displays for the first time non-dipole interactions that
correlate the colour and kinematic degrees of freedom of three and four
particles. In parallel, there has been progress in understanding amplitudes and
their singularities in special kinematic limits, such as collinear limits of
multi-leg amplitudes and the high-energy limit in $2\to 2$ scattering. These
relate respectively to different factorization properties of gauge-theory
amplitudes. In this talk I describe the state of the art and illustrate the
interplay between the analysis of the singularities for general kinematics and
the properties of amplitudes in special kinematic limits.
