Abstract:
Golyshev and Zagier showed how, using the Frobenius method to generate inhomogeneous solutions to Picard Fuchs equations
near points of maximal unipotent monodromy for certain familys of K3 surfaces, one could generate what seemed to be
infinite sequences of periods. In joint work with M. Vlasenko, we study motivic gamma functions and extensions of Hodge
structure associated to the Golyshev-Zagier construction.