(Mathematical and Physical Sciences, Université de Saint-Boniface)
An introduction to persistent homology with applications to shape analysis
|Date||Friday, November 24, 2017|
Persistent homology was developed starting in the 1990s to study the duration of topological properties along a filtration of spaces. It proved very useful in applications to shape recognition and analysis, by allowing one to recognize noise from geometrically relevant data. In this talk, I will describe the theory of persistent homology and some of its extensions such as multidimensional persistence, and show some interesting applications of the theory to applied problems.