Abstract. Precision asteroseismic observations with the Kepler and CoRot satellites enable the internal structure and evolution of pulsating stars to be more exhaustively studied than has hitherto been possible. It is particularly important to study the evolutionary links between white dwarfs and subdwarf-B stars with stars considered to have been their progenitors, those on the Red Giant and Asymptotic Giant Branches. Though observations present challenges for existing stellar evolution and pulsation models, and the data (atomic, molecular and nuclear) on which they are based, excellent prospects for development are identified which will in turn facilitate studies of the Galaxy and extra-solar planets.