“Regular F-manifolds and integrable systems of hydrodynamic type”
Martedì 25 Marzo 2025, ore 17:00 - Aula 2AB45 - Sara Perletti (PostDoc, Università di Milano-Bicocca)
Abstract
Generalising Frobenius manifolds, the notion of F-manifold sits at the crossroad of a variety of areas of mathematics. In this talk, we first present progressive instances of F-manifolds and then introduce the class of F-manifolds with compatible connection, in relation with integrable systems of hydrodynamictype. Finally, we disclose how such a relation proves useful in extending the generalised hodograph method, originally developed to solve diagonalisable integrable systems of hydrodynamic type, to the regular non-diagonalisable setting.
