Geo-Social Networks (GeoSNs) extend social networks by providing context-aware services that support the association of location with users and content. We are witnessing a proliferation of GeoSNs, and indications are that these are rapidly attracting increasing numbers of users. The availability of user location yields new capabilities that provide benefits to users as well as service providers. GeoSNs currently offer different types of services, including photo sharing, friend tracking, and "check-ins." However, the introduction of location generates new privacy threats, which in turn calls for new means of affording user privacy in GeoSNs.This article categorizes GeoSNs according to the services they offer; it studies three privacy aspects that are central to GeoSNs, namely location, absence, and co-location privacy; and it discusses possible means of providing these kinds of privacy, as well as presents unresolved privacy-related challenges in GeoSNs.