Dynamos and Differential Rotation: Advances at the Crossroads of Observations, Analytics, and Numerics
Kyle Augustson (CEA/DRF/IRFU Service d'Astrophysique)

The recent observational, theoretical and numerical progress made in understanding stellar magnetism is discussed, with an emphasis on the mechanisms behind its short and long term variability. Particularly, this review will cover the physical processes thought to be at the origin of these magnetic fields and their variability, namely dynamo action arising from the interaction between convection, rotation, radiation and magnetic fields. Some care will be taken to cover recent analytical advances regarding the dynamics and magnetism of radiative interiors, including new mixing theories and topological magnetic stability criterion. Some thoughts on the role of a tachocline will be visited, looking both at analytical and numerical results. Moreover, recent and rapidly advancing numerical modeling of convective dynamos will be discussed, looking at rapidly rotating convective systems, grand minima and scaling laws for magnetic field strength. These topics are then linked to observations and or their observational implications.