In this talk I review the obstructions to scale separation for quantum gravitational backgrounds involving AdS space. This basically means that the overall aspects of the internal geometry are deeply linked with the curvature of the macroscopic AdS space it gives rise to. These obstructions include evidence of a no-go conjecture in the context of Einstein manifolds which puts a lower bound on its diameter, as well as explaining geometric issues arising in the KKLT scenario which prevents it from giving rise to a counter-example.
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Recordings of past talks can be found here: www.youtube.com/channel/UCw9LdPQ5t7Q7muD0qzn70TA