Jonghyeon Ahn, a researcher at the IBS Center for Geometry and Physics, presents a research seminar talk on the dynamics hidden inside persistence modules in symplectic geometry. He defines the barcode entropy, the exponential growth rate of the number of not-too-short bars in the persistence module built from the relative symplectic cohomology of a Liouville domain K sitting inside a larger symplectic manifold M. Ahn's main result bounds this Floer-theoretic quantity above by a constant multiple of the topological entropy of the Reeb flow on the boundary of K, with the constant depending on how K is embedded in M. The talk walks through the construction of relative symplectic cohomology, the persistence-module framework used to extract barcodes from it, and the argument connecting algebraic growth rates to genuine dynamical entropy on the boundary flow. Delivered as part of the IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar, this is a specialist talk aimed at researchers already fluent in Floer theory and contact dynamics.