Yassir Dinar (SISSA)
dinar@sissa.it
Frobenius manifold is a geometric realization of WDVV equations that arises in topological fields theory. We will present a work in progress on Dubrovin conjecture stating that massive algebraic Frobenius manifolds corresponds to primitive conjugacy classes of Coxeter groups. We will explain how one can construct example from taking the dispersionless limit of infinite bi-Hamiltonian structure associated to conjugacy classes of Coxeter groups.