The theorem due to Loday, Quillen and Tsygan computes the Chevalley-Eilenberg (CE) homology of the Lie algebra Mat(A) of infinite matrices with entries in and an associative (or even A-infinity) algebra A in terms of the cyclic homology of A. This theorem has a natural interpretation as an L-infinity map from Mat(A) to a certain abelian Lie algebra inducing an isomorphism on the CE homology. An analogous interpretation also exists for a theorem (due to Kontsevich) computing the CE homology of (possibly noncommutative) symplectic vector fields in terms of associated graph complexes.
I will explain these results and, if time permits, establish a relationship between them, which gives rise to collections of multilinear maps between cyclic homology of any cyclic A-infinity algebra and the ribbon graph complex.