2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107488In this paper we discuss recent progress on the modularity of Calabi-Yau varieties. We focus mostly on the case of surfaces and threefolds. We will also discuss some progress on the structure of the L-function in connection with mirror symmetry. Finally, we address some questions and open problems.Further references addedAlgebraic GeometryNumber Theorytext