The legacy of space-based asteroseismology

The detection of solar-like oscillations in thousands of cool stars enabled by the ultra-precise photometry of space missions such as CoRoT, Kepler, and TESS, has empowered research in stellar physics and stellar internal dynamics, moving forward our understanding of stellar evolution. This dramatic change has also a direct impact on research fields that depend on the accurate characterisation of stellar properties, such as exoplanet research and Galactic archaeology. In this talk I review some of the key advances brought by space-based asteroseismic data to our understanding of cool stars, discuss key issues that are still under debate and briefly look into the future