Intriguing hints from indirect dark matter searches

The existence of dark matter (DM) is supported by a large body of evidence on local and cosmological scales collected over the past decades. However, we still need to gain more knowledge about its nature and interaction mechanisms. If Dark Matter is made of weakly interacting massive particles (WIMPs), indirect searches are an extremely promising method to probe annihilating and decaying dark matter particle models, with masses in the GeV to TeV region. Indirect searches can be carried out by looking for an excess of gamma rays or neutrinos from DM-dominated regions, like the galactic centre or dwarf galaxies. The search for DM with charged cosmic rays can be performed by searching for spectral features in the antimatter fluxes, where the DM signal would appear as excess with respect to the background from conventional astrophysical processes. This contribution will focus on a few intriguing and debated detection claims from indirect searches, namely the Galactic Centre excess and the cosmic-ray antiproton excess.