The power of gravity-mode oscillations to probe the physics of stellar
cores

The CoRoT and Kepler space missions, while still ongoing, already
revolutionised our view on stellar pulsation. After a very brief
introduction in asteroseismology, we illustrate how the immense
advantage of having long-term uninterrupted data from space with a
factor 100 better precision compared to data from the ground implies
large progress in the tuning of stellar physics. In particular, we
focus on some cases where gravity-mode oscillations were detected in
addition to acoustic modes and show how this allowed modelling of the
near-core regions in stars. We end by highlighting future prospects
based on the continuing data gathering by both missions while pointing
out some challenging issues in the theory of stellar structure that
need to be resolved to properly interpret the space data.