Nicanor Carrac (Jagiellonian University)
This talk is about topological $[T,T^{-1]$ systems, which are skew products built by taking a subshift in the base, a continuous cocycle to the integers, and an arbitrary invertible system in the fiber. The main result states that under suitable conditions the entropy of the fiber system can be recovered as the slow entropy of the skew product with a well-chosen scale. This is a topological analogous of existing results for measure-preserving $[T,T^{-1]$ systems (Heicklen, Hoffman, & Rudolph; Ball; Austin). The main novelty it can be applied with zero-entropy systems in the base. This is based on the preprint https://arxiv.org/abs/2506.17932