Title: Massey products for graph homology.
Abstract: The homotopy transfer theorem for associative/A-infinity algebras allows us to encode chain level structure using higher homology operations. In this talk I will discuss a parallel homotopy transfer theorem for modular operads and indicate how it can be used to study graph homology. Particular attention will be paid to the role of certain generalized associahedra which encode the boundary relations in the A-infinity analog of modular operads.