The minimal model for the operad encoding Batalin-Vilkovisky algebras
Talk by Prof. Dr. Bruno Vallette
Date: 21.04.11 Time: 15.15 - 16.15 Room: ETH HG G 43
Abstract: The notion of Batalin-Vilkovisky algebra plays a crucial role in any many fields of mathematics like algebra, algebraic topology, algebraic geometry, differential geometry, and mathematical physics for instance. So the homotopy theory of Batalin-Vilkovisky algebras has many potential applications. In this talk, I will make the minimal model of the operad encoding Batalin-Vilkovisky algebras explicit. I will then apply this result to give a homotopical 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. This gives new data on the part of the mirror conjecture related to the Gromov-Witten invariants.