Next seminar

Abstract:

Topological data analysis is a branch of applied mathematics whose aim is to find geometrical and topological features of datasets. It revolves around the idea that datasets can be endowed with a notion of "shape" and that this carries valuable information. In this talk, we will clarify what datasets are, how to obtain meaningful topological spaces from them and how to use homology to gather useful characteristics of the dataset. In the end, we will see open problems and examples of applications of topological data analysis.