Geometric aspects of the AdS/CFT correspondence

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We 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 section

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