Applying the BKK theorem to synchronization phenomena

The BKK theorem is a statement about enumerating the isolated solutions to a system of (Laurent) polynomial equations. Namely, the theorem interprets this number as a mixed volume computation for a collection of polyhedra. First using the BKK theorem requires some unpacking, but under certain conditions, the work can be reduced to computing normalized volumes of just a single polytope. In this talk, we will examine the BKK theorem in detail and see how it can be applied to the study of synchronization phenomena.