Algebraic stability of zigzag persistence modules
Event details
| Date | 09.06.2016 |
| Hour | 10:15 › 11:30 |
| Speaker | Magnus Bakke Botnan (TU Munich) |
| Location |
MA 12
|
| Category | Conferences - Seminars |
The stability theorem for persistent homology is a central result in topological data analysis. While the original formulation of the result concerns the persistence barcodes of R-valued functions, the result was later cast in a more general algebraic form, in the language of persistence modules and interleavings. In this talk, we discuss an analogue of this algebraic stability theorem for zigzag persistence modules. To do so, we functorially extend each zigzag persistence module to a two-dimensional persistence module, and establish an algebraic stability theorem for these extensions. If time permits we discuss how this idea can be extended to define interleavings of persistence modules defined over any poset.
Practical information
- Informed public
- Free
Organizer
- Kathryn Hess