Manchester Geometry Seminar 2007/2008

18 October 2007. The Frank Adams Room (Room 1.212), the Alan Turing Building. 4pm

On Classification and Construction of Algebraic Frobenius Manifolds

Yassir Dinar (SISSA)

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.