2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52465We discuss classical gravitational aspects of the AdS/CFT correspondence, with the aim of obtaining a rigorous (mathematical) understanding of the semi-classical limit of the gravitational partition function. The paper surveys recent progress in the area, together with a selection of new results and open problems.23pp, for Proceedings of the Strasbourg meeting on AdS/CFT, Sept. 03 v.2: references added, and minor changes made, especially to last sectionHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyDifferential Geometrytext