Ziva Urbancic – Mathematics and Decision

$\begin{quote} \begin{center} \textbf{Morphism Induced Matchings between Persistence Barcodes} \end{center} \medskip The output of persistent homology is an algebraic object called a persistence module. This object admits a decomposition into a direct sum of interval persistence modules described entirely by the barcode invariant. We often equate an interval in the barcode with a topological feature of the input space. In this talk, we will describe some methods for comparing barcodes belonging to related persistence modules. In particular, we will consider cases when there is a morphism between the involved persistence modules that associates topological features in the respective input spaces. \end{quote}$