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Minimal model of the operad encoding Batalin-Vilkovisky algebras

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Speaker: 
Bruno Vallette
Affiliation: 
U de Nice - Sophia Antipolis/MPI
Date: 
Tue, 2011-02-22 14:00 - 15:00
Location: 
MPIM Lecture Hall

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.

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