2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228120We review the recent developements in the stability problem and phase diagram for asymptotically locally $AdS$ black strings. First, we quickly review the case of locally flat black string before turning to the case of locally $AdS$ spacetimes.4 pages. Talk included in the 7th Friedmann Seminar, Joao Pessoa - BrazilHigh Energy Physics - Theorytext