Speaker
Masha Vlasenko
Description
For an ordinary linear differential equation a p-adic Frobenius structure is an equivalence between the local system of its solutions and its pullback under the map t -> t^p which is realized over the field of p-adic analytic elements. Its existence is a strong property, we only expect it for differential equations arising from the Gauss-Manin connection in algebraic geometry. In a vicinity of a singular point such a structure can be described by a bunch of p-adic constants. We will show examples of families of Calabi-Yau hypersurfaces for which these constants turn out to be p-adic zeta values. This is joint work with Frits Beukers.
