Asteroseismology of stellar clusters

Open clusters are in general young- to medium-aged objects that populate our Galaxy, containing up to a few thousand stars and characterized by the presence of a single stellar population sharing common properties in terms of chemical composition and age. Globular clusters are instead much older objects, with up to millions of stars, that typically contain more than one stellar population in their interior. In both scenarios, stellar clusters represent unique laboratories for testing stellar evolution theory in detail and with high accuracy through the combination of different and complementary diagnostics. In this talk, I will showcase how asteroseismology applied to stars in clusters represents a powerful approach for improving our understanding of stellar physics. In particular, I will present the main efforts that were conducted on oscillating cluster stars through the observations acquired by the NASA Kepler, K2, and TESS space missions. In the last part of my talk, I will provide an outlook on the future of this science, and hence briefly discuss what we may expect from upcoming space missions such as NASA's Roman Space Telescope and ESA's PLATO, which will give scientists the opportunity to continue the legacy already started by Kepler about 15 years ago.