Solar magnetic fields evolve on many time-scales, e.g., the
generation, migration, and dissipation of magnetic flux during the 22-year
magnetic cycle of the Sun. Active regions develop and decay over periods of
weeks. The build-up of magnetic shear in active regions can occur within less
than a day. At the shortest time-scales, the magnetic field topology can change
rapidly within a few minutes as the result of eruptive events such as flares,
filament eruptions, and coronal mass ejections. The unique daytime seeing
characteristics at Dome C, i.e., continuous periods of very
good to excellent seeing during almost the entire Antarctic summer, allow us to
address many of the top science cases related to the evolution of solar
magnetic fields. We introduce the Advanced Solar Photometric Imager and
Radiation Experiment and present the science cases for synoptic solar
observations at Dome C. Furthermore, common science cases concerning
the solar-stellar connection are discussed in the context of the proposed
International Concordia Explorer Telescope.