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 and Organization

Time: Thursdays 11h15 - 12h45
Location: Mathematikon (INF205), 00.200 (ground floor)

Organizers: Lukas Hahn, Maximilian Schmahl, Daniel Spitz.
Feel free to get in touch with us in the case of questions: structures-hiwi@mathi.uni-heidelberg.de

Schedule

Date	Topic	Info	Speaker	Slides
20.10.	Preliminary meeting
27.10.	Persistent homology estimates the contribution of recombination to genetic diversity		Jonas Fehrenbach
03.11.	TBA
10.11.	TBA
17.11.	TBA		Maximilian Schmahl
24.11.	TBA		Lukas Waas
01.12.	Galois connections in persistent homology (arXiv:2201.06650)		Lukas Hahn
08.12.	Signed barcodes		Michael Bleher
15.12.	No talk
22.12.	TBA
12.01.	On the universality of random persistence diagrams (arXiv:2207.03926)		Daniel Spitz
19.01.	Topological defect dynamics in scalar field theories via persistent homology		Victoria Noel
26.01.	TBA		Freya Bretz