  Soft amorphous materials are viscoelastic solids ubiquitously found around
us, from clays and cementitious pastes to emulsions and physical gels
encountered in food or biomedical engineering. Under an external deformation,
these materials undergo a noteworthy transition from a solid to a liquid state
that reshapes the material microstructure. This yielding transition was the
main theme of a workshop held from January 9 to 13, 2023 at the Lorentz Center
in Leiden. The manuscript presented here offers a critical perspective on the
subject, synthesizing insights from the various brainstorming sessions and
informal discussions that unfolded during this week of vibrant exchange of
ideas. The result of these exchanges takes the form of a series of open
questions that represent outstanding experimental, numerical, and theoretical
challenges to be tackled in the near future.
