Wojciech J. Gajda

Number theory and Frobenius manifolds-objects central to mirror symmetry-have deep connections. Frobenius manifolds lend themselves to various incarnations of number theory. Depending on which Frobenius manifold we take this can include Grothendieck's motives, Grothendieck's children's drawings, Picard-Fuchs equations (Gauss-Manin connections) etc. We will discuss certain aspects of this. As a side effect of the mirror problem, the Frobenius manifolds' arithmetic data would be directly related.