Seminar talk, 23 April 2025

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Speaker: Raffaele Vitolo

Title: Bi-Hamiltonian structures of WDVV-type

Abstract:
We study a class of nonlinear partial differential equations (PDEs) that admit the same bi-Hamiltonian structure as the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations: a Ferapontov-type first-order Hamiltonian operator and a homogeneous third-order Hamiltonian operator in a canonical Doyle-Potëmin form, which are compatible. Properties of these systems and their classification in low dimension will be discussed.

Joint work with S. Opanasenko.

References:
arXiv:2407.17189

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