Explore quasiperiodicity and persistent Kunneth theorems in this comprehensive lecture by Jose Perea. Delve into the concept of quasiperiodic signals and their relationship with sliding window embeddings dense in tori. Learn how persistent homology of these sets can be understood through a Kunneth theorem for persistent homology and harmonic analysis. Discover the necessary persistent Kunneth formulae and their applications in time series analysis and computational chemistry. This talk, part of the "Topological Data Analysis - Theory and Applications" workshop, offers valuable insights into advanced topics in applied algebraic topology.