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The surface detector array (SD) of the Pierre Auger Observatory is sensitiveto neutrinos at energies in the 100 PeV to 100 EeV range. This sensitivity,together with its large acceptance, makes it a complementary detector to otherneutrino telescopes, which have their peak sensitivities at lower energies. Theneutrino-induced air showers that the SD of the Pierre Auger Observatory issensitive to can be divided into those induced by interactions of neutrinos ofany flavor deep in the atmosphere, and those induced by charged-currentinteractions of tau neutrinos in the Earth's crust. Both of these types can beefficiently distinguished from cosmic ray-induced air showers, provided thattheir zenith angles are larger than 60{\deg}. As no neutrino candidates werefound in the performed searches, we present limits on the diffuse all-flavorneutrino flux. Using these limits, we obtained constraints on cosmic-ray andneutrino production models. In the light of the recent observations ofgravitational waves (GW), we also present the follow-up of LIGO/Virgo GWevents. These include binary black hole merger events and also GW170817, theonly binary neutron star merger ever observed directly.

Ultra-high energy neutrino searches and GW follow-up with the Pierre Auger Observatory