We introduce and treat the holographic approach to hypersurfaces and boundary
calculus. The following topics will be treated. The holographic to hypersurfaces in Riemannian manifolds is touched on as a model. The scale tractor and a
tractor interpretation of conformally compact manifolds. The
scattering Laplacian, and the sl(2) of the Laplace-Robin operator I.D.
Formal asumptotics. The Wilmore invariant and energy. The singular
Yamabe problem and it's use for a holgraphic approach. extrinsically coupled
GJMS perators and $Q$ curvature. The higher Willmore energy and invariant.