EVENTI
Il giorno 16/09/2025, alle ore 15:30 in aula Seminari M, il dott. Stanislav Opanasenko, della Sezione Infn di Lecce, terrà un seminario dal titolo
On the geometry of WDVV equations and their Hamiltonian formalism
Abstract: It is known that in low dimensions WDVV equations can be rewritten as commuting quasilinear bi-Hamiltonian systems. We extend some of these results to arbitrary dimension and arbitrary scalar product. In particular, we show that WDVV equations can be interpreted as a set of linear line congruences in suitable Pluecker embeddings. This form leads to their representation as Hamiltonian systems of conservation laws. Moreover, we show that in low dimensions and for an arbitrary scalar product WDVV equations can be reduced to passive orthonomic form. This leads to the commutativity of the Hamiltonian systems of conservation laws. We conjecture that such a result holds in all dimensions.
This is a joint work with R. Vitolo