Seminar talk, 26 October 2011

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Speaker: Maxim Pavlov

Title: Solutions to the WDVV associativity equations (Dubrovin's version) and its connection with systems of hydrodynamic type. New ansatzes

Abstract:
The description of the Egorov multi-Hamiltonian hydrodynamic type systems equipped with a local Hamiltonian structure is equivalent to the description of solutions of the WDVV associativity equation.

The talk will discuss different constructions of such solutions.

One of the classes consists of solutions related to hydrodynamic chains.

Another class is related to algebraic curves.

The third class is connected to ansatzes (polynomial solutions, logarithmic, etc.).

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