Invited_talk abstract details

Helioseismology has provided very detailed information about the solar interior and extensive data on a large number of stars, although at less detail, are promised by the ongoing and upcoming asteroseismic projects. In the solar case there remain serious challenges in understanding the inferred solar structure, particularly in the light of the revised determinations of the solar surface composition. Also, a secure understanding of the origins of solar rotation as inferred from helioseismology, both in the radiative interior and in the convection zone, is still missing. In the stellar case challenges are certain to appear as the data allow more detailed inferences of the properties of stellar cores. Large remaining uncertainties in modelling concerns the properties of convective cores and other processes that may cause mixing. Also, there are remaining challenges in the understanding of the excitation of unstable modes; these can only get worse as more low-amplitude modes are detected in such stars. Thus we can look forward to a highly challenging, and hence exciting, era of stellar astrophysics.