Heidelberg TDA Seminar (Summer 2022)

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), SR 4

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
19.05.	Introduction Order parameters from persistent homology in non-Abelian gauge theory		Daniel Spitz
26.05.	Himmelfahrt, holiday
02.06.	Persistent Homology and the String Landscape		Lukas Hahn
09.06.	Multiparameter Persistent Homology of Flag-Complexes via Rips-Transformations		Maximilian Neumann
16.06.	Fronleichnam, holiday
23.06.	No Seminar due to ATMCS in Oxford
30.06.	Persistent homology and the search for universality in scalar field theories		Lillian de Bruin
07.07.	From samples to persistent stratified homotopy types		Tim Mäder & Lukas Waas
14.07.	Talk postponed to 21.07.
21.07.	Mayer-Vietoris-Sequence and Persistent Homology - An Overview		Freya Bretz