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F-manifolds and integrable systems of hydrodynamic type

Mathematical Physics & Probability

Speaker: Paolo Lorenzoni, Universita' di Milano Bicocca
Location: 1147 MSB
Start time: Wed, Apr 14 2010, 4:10PM

We investigate the role of Hertling-Manin condition on the structure constants of an associative commutative algebra in the theory of integrable systems of hydrodynamic type. In such a framework we introduce the notion of F-manifold with compatible connection generalizing a structure introduced by Manin.