Title: Generalizing the Brown-Henneaux type gauge/gravity duality to 
higher dimensions

Abstract:
In three and two dimensions the asymptotic symmetry groups of anti-de 
Sitter spaces are infnite dimensional and correspond to boundary 
conformal transformations. Further insight into this property can be 
gained by noting the relations AdS3 = SL(2) and AdS2 = SL(2)/SO(2), i.e. 
that the asymptotic symmetries are in fact that of the Lie group SL(2). 
I will briefly review the duality between asymptotically AdS3 gravity 
and the boundary Liouville conformal field theory from this Lie group 
theoretic point of view. I will then talk about my own work in 
generalizing this duality to the cases SL(3) and SL(3)/SO(3).