Heidelberg TDA Seminar (Winter 2022/23)
In recent years there has been a somewhat surprising flow of ideas from the mathematical branch of topology towards applications in the natural sciences. The tale of Topological Data Analysis (TDA) has it, that these methods provide a highly flexible, nonparametric approach to data analysis. Indeed, there are by now several well-known mathematical results that make statements of this kind rigorous. However, successful applications of TDA often build on a deep intuition about the system in question and many theoretical aspects of TDA remain active fields of research.
The goal of this seminar is to bring together people from various backgrounds who are interested in TDA. We will have talks on topics ranging from applications of TDA on real world problems to the abstract mathematical foundations of the subject. Contributions by participants are very welcome!
Coordinates
- Time: Thursdays 11:15 – 12:45
- Location: Mathematikon (INF 205), Room 00.200 (ground floor)
- Organisers: Lukas Hahn, Maximilian Schmahl, Daniel Spitz
- Contact: structures-hiwi@mathi.uni-heidelberg.de
Schedule
| Date | Topic | Speaker |
|---|---|---|
| 20 Oct 2022 | Preliminary meeting | |
| 27 Oct 2022 | Persistent homology estimates the contribution of recombination to genetic diversity | Jonas Fehrenbach |
| 03 Nov 2022 | No session | |
| 10 Nov 2022 | No session | |
| 17 Nov 2022 | Topologically faithful image segmentation via induced matching of persistence barcodes (OpenReview a3-QYAgcDBl) | Maximilian Schmahl |
| 24 Nov 2022 | No session | |
| 01 Dec 2022 | On the universality of random persistence diagrams (arXiv:2207.03926) | Daniel Spitz |
| 08 Dec 2022 | Signed barcodes | Michael Bleher |
| 15 Dec 2022 | How to stratify a point cloud | Lukas Waas |
| 22 Dec 2022 | No session | |
| 12 Jan 2023 | On the topology of financial markets and other time series data (arXiv:1703.04385) | Lukas Hahn |
| 19 Jan 2023 | Universality in O(N) symmetric scalar field theories via persistent homology | Victoria Noel |
| 26 Jan 2023 | Mayer–Vietoris spectral sequence and the extension problem | Álvaro Torras Casas |
| 02 Feb 2023 | Künneth formulae in persistent homology (arXiv:1910.05656) | Freya Bretz |