Vasilisa Shramchenko
(Max-Planck Institute for Mathematics)
Deformations of Frobenius structures on Hurwitz spaces
Deformations of Dubrovin's Hurwitz Frobenius manifolds are constructed. The deformations depend on
g(g+1)/2 complex parameters where g is the genus of the corresponding Riemann surface. In genus one the flat metric of the deformed Frobenius manifold coincide with a metric associated with the one-parametric family of solutions to the Painleve-VI equation with coefficients (1/8,-1/8,1/8,3/8).