de Sitter vacua from string theory?

The simplest bottom-up explanation for the current accelerated expansion of our universe is a positive cosmological constant. However, it is notoriously difficult to realize this in string theory. We discuss what are generic difficulties encountered in string model building and emphasize the particular role played by the KKLT proposal in the recent debate surrounding the "no-dS conjecture". We outline how KKLT passes non-trivial 10d consistency requirements. However, we also explain how simple geometrical consistency constraints indicate a generic difficulty to find parametrically controlled SUSY breaking AdS or dS vacua as opposed to run-away solutions only