A supernova (SN) explosion is the source of a huge flux of neutrinos,
possibly accompanied by elusive novel particles like axions, dark
photons, sterile neutrinos, etc. In this talk, I will review some of the lessons from the SN 1987A observation where neutrinos largely played the role of astrophysical messengers, allowing to probe SN explosion mechanism and to constrain the emission of exotic particles. I will discuss the perspective for the detection of neutrinos from the next galactic supernova (SN) as well as from the diffuse SN neutrino background. Finally, I will also discuss about our current understanding of flavor conversions of SN neutrinos. I will present recent results on self-induced effects, associated with neutrino-neutrino interactions in the deepest supernova regions. I will show how these nonlinear effects can lead to "fast" flavor
conversions near the SN core that would have a strong impact on the SN dynamics and on the observable neutrino fluxes.
