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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[hide abstract]

2025-06-13 Doctoral Day (9–5, TU Graz, Rechbauerstr. 12, HS II)
(09:00 Opening)
Anna Geisler (TU, advisor M Kang): Independent sets in percolated graphs via the Ising model [show abstract]
Mohammadreza Kariman (MedUni, advisor Augustin/Plank):
Maximilian Ofner (TU, advisor S. Hörmann): Testing the missing completely at random assumption for partially observed processes [show abstract]
(10:15—10:45 Coffee Break)
Thomas Schrotter (Meduni, advisor G. Plank): A Full Physics Real-Time Solver for Simulating Arrhythmias in the Human Heart
Tamari Kldiashvili (Uni, advisor L. Trussardi):
Ángel Alonso (TU, advisor Kerber):
(12:00—13:00 Lunch Break)
Nesibe Ayhan (Uni, advisor Q. B. Tang):
Zorica Ristic (Meduni, advisor Haase/Augustin):
Mara Pompili (Uni, advisor D. Smertnig): The role of regular elements in factorization of rings with zero-divisors. [show abstract]
(14:15—14:45 Coffee Break)
Alexander Pfleger (Uni, advisor G. Haase):
Michael Henry (TU, advisor P. Grabner):
(15:45 Closure)