Speaker: Maxim Pavlov (LPI RAS)

Date and time: 5.10.2022, 17:00 (GMT +03:00)

Title:  Associativity Equations. Frobenius Manifolds. B.A. Dubrovin's construction

Abstract: The system of associativity equations arises in Topological Field Theory. B.A. Dubrovin drew attention to it in a series of works 1992-1994. It describes orthogonal curved Egorov coordinate systems related to the Egorov semi-Hamiltonian systems of hydrodynamic type integrable by the generalized Tsarev method. Even more relevant are hydrodynamic-type systems having a local Hamiltonian structure associated with the Dubrovin-Novikov Poisson bracket. The presence of two such matched Poisson brackets generates a Frobenius manifold.

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