Department of Mathematical Methods and Models

Abstract: During the last 20 years, the interaction of (Algebraic) Topology and Data Analysis moved from a beautiful original ideea to very useful ones with consequences not obtainable by other methods. The purpose of this presentation is to introduce the audience in the mathematics of this interaction which involves linear algebra, combinatorial topology, geometrization of data and in fact much more. The key words in this interaction are: geometrization of point cloud data, computer friendly topological invariants, persistence homology, barcodes, Jordan blocks.