  Modeling properly the interface between convective cores and radiative
interiors is one the most challenging and important open questions in modern
stellar physics. The rapid development of asteroseismology, with the advent of
space missions partly dedicated to this discipline, has provided new
constraints to progress on this issue. We here give an overview of the
information that can be obtained from pressure modes, gravity modes and mixed
modes. We also review some of the most recent constraints obtained from
space-based asteroseismology on the nature and the amount of mixing beyond
convective cores.
