Regardless of the precise nature of dark matter (DM), its distribution in the central regions of galaxies remains poorly constrained at present. In particular, DM halos may be significantly affected by the presence of central supermassive black holes, leading to the possible formation of high density spikes. Two objects are of particular interest in this context: Sgr A* at the center of the Milky Way, where precision astrometry and spectroscopy provide a direct probe of the gravitational potential, and M87* at the center of the M87, which is a prime target of the Event Horizon Telescope, being the first ever black hole observed directly.
I will discuss different avenues that can shed light on the characteristics of the DM distribution in the cores of galaxies and the underlying properties of DM candidates. I will focus in particular on the kinematics of the S2 star at the Galactic center––which constrains the amount of dark mass around Sgr A*––and electromagnetic signatures of DM annihilation on the shadow of M87*.