Persistent Homology is a recent and interdisciplinary research area. It is a method from algebraic topology adapted in an algorithmic context to topological data analysis. It keeps track of the homology classes that still remain "persistent" in a one-parameter family of topological spaces constructed from data. Persistent homology finds applications in all research areas that involve complex data, including medicine, chemistry, music, linguistics, sports, economics, and social sciences.

                The course is intended for PhD students who have already started research in persistent homology. It can also  inspire students at the end of their master to start their research in this area. Finally, it may attract senior and junior researchers for a re-conversion in another field of research.

                We plan to schedule 16 hours of courses, 6 hours of open discussion, 3 hours of Lab sessions, and 3 hours of research contributed talks.

                    Due to the limited funds, the participants' distribution would roughly be as follows: 20  Master students, 10 PhD students, and 10 senior and/or junior researchers.