Abstract
I summarize a few recent developments in unlocking the hidden structure of graviton scattering amplitudes. In particular: (1) I show how the 'bonus relations' for graviton amplitudes may be used to provide simple analytic proofs of the equivalence of various distinct formulas for the n-graviton MHV amplitude which have appeared in the literature (and, in particular, providing a direct proof of the original BGK formula); (2) review the 'tree formula' for MHV graviton scattering, which has several nice properties including the fact that it manifests both Sn−2 symmetry as well as 1/z2 falloff at large z; and (3) comment on the solution of the on-shell recursion relation for arbitrary tree-level graviton amplitudes.
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