Explore the problem of constructing isotrivial families of triangulated categories underlying derived equivalences in local toric mirror symmetry in this one-hour lecture. Delve into an attempt to categorify certain GKZ hypergeometric systems, gaining insights into advanced mathematical concepts and their applications in mirror symmetry. The talk, presented by Lev Borisov at the Hausdorff Center for Mathematics, offers a deep dive into ongoing research in this complex field of mathematics.