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Summer Term 25, Doctoral School Events
2025-04-04 Doctoral School Seminar (10:30, TU Graz, Kopernikusg. 24/IV)
(10:30—11:00 coffee break)
Jan Jendrysiak (TU, advisor M. Kerber): Decompositions of Multiparameter Persistence Modules: Stability and Applications

Abstract: Multiparameter Persistence Modules (MPM) are commutative grids of vector spaces which occur in topological data analysis when tracking the evolution of topological features along multiple parameters.
We develop a fast algorithm to decomopose MPMs into indecomposable components and we show how to find, despite instability, the finest decomposition in a neighbourhood of an MPM. Such decompositions enable the computation of invariants coming from stability conditions in the sense of Mumford's Geometric Invariant Theory

2025-06-13 Doctoral Day (9–5, TU Graz, Rechbauerstr. 12, HS II)
Anna Geisler (TU, advisor M Kang):
Mohammadreza Kariman (MedUni, advisor Augustin/Plank):
Thomas Schrotter (Meduni, advisor G. Plank): A Full Physics Real-Time Solver for Simulating Arrhythmias in the Human Heart
Zorica Ristic (Meduni, advisor Haase/Augustin):
Ángel Alonso (TU, advisor Kerber):
Nesibe Ayhan (Uni, advisor Q. B. Tang):
Maximilian Ofner (TU, advisor S. Hörmann):
Tamari Kldiashvili (Uni, advisor L. Trussardi):
Alexander Pfleger (Uni, advisor G. Haase):
Mara Pompili (Uni, advisor D. Smertnig):
Michael Henry (TU, advisor P. Grabner):