Black hole uniqueness theorems in 5d gauged supergravity

We address an open problem of classification of AdS black holes, which is of central importance in holography. In this talk, I will present new advances in classification of supersymmetric solutions to five-dimensional gauged supergravity. In particular, we show that it is possible to show that the CCLP black hole is a unique solution with a smooth horizon within a 'separable' class of solutions that includes all known timelike supersymmetric solutions of this theory.