Observations of the coronae of the Sun and of solar-like stars provide
complementary information to advance our understanding of stellar magnetic
activity, and of the processes leading to the heating of their outer
atmospheres. While solar observations allow us to study the corona at high
spatial and temporal resolution, the study of stellar coronae allows us to
probe stellar activity over a wide range of ages and stellar parameters.
Stellar studies therefore provide us with additional tools for understanding
coronal heating processes, as well as the long-term evolution of solar X-ray
activity. We discuss how recent studies of stellar magnetic fields and coronae
contribute to our understanding of the phenomenon of activity and coronal
heating in late-type stars.Comment: Accepted for publication on Philosophical Transactions A. 29 pages, 5
figure