Minimal model of the operad encoding Batalin-Vilkovisky algebras

The notion of Batalin-Vilkovisky algebra appears in any many fields of mathematics like differential geometry, mathematical physics and algebraic topology for instance. In this talk, I will make the minimal model of the operad encoding Batalin-Vilkovisky algebras explicit. The main application is a homotopy interpretation and generalization of a result of Barannikov-Kontsevich and Manin, which states that the homology of a BV-algebra, satisfying some conditions, carries a Frobenius manifold structure.