Linear free divisors and Frobenius manifolds
  We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gauss-Manin system associated to these functions, and prove the existence of a primitive and homogenous form. As a consequence, we show that the base space of the semi-universal unfolding of such a function carries a Frobenius manifold structure. 
Ignacio de Gregorio, David Mond, Christian Sevenheck