The theory of persistent homology is closely linked to quiver representations. Persistence modules are representations of certain quivers. While one-dimensional persistent homology deals with representations of the A_n type quivers, which happen to be tame, multidimensional persistent homology is complicated due to the wild nature of the quivers whose representations we need to consider. In this project, we looked at conditions placed on the representations which put restrictions on the representations not easily accounted for through the tools used in representation theory. We show how these may lead to a discrete invariant for the persistence modules.
Mittwoch, den 12. Juni 2019 um 09.00 Uhr, in Mathematikon, INF 205, Konferenzraum, 5. Stock Mittwoch, den 12. Juni 2019 at 09.00, in Mathematikon, INF 205, Konferenzraum, 5. Stock
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Peter Albers