BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Iason Papadopoulos (University of Bremen) DTSTART:20251027T113000Z DTEND:20251027T133000Z DTSTAMP:20260423T004754Z UID:BNAT/2 DESCRIPTION:Title: Mul tiparameter Persistence\nby Iason Papadopoulos (University of Bremen) as part of Basic Notions and Applied Topology Seminar\n\nLecture held in R oom 1 at the Institute of Mathematics PAS.\n\nAbstract\nThis talk is the f irst in a series of two talks (the second one will be in the Dioscuri TDA seminar)\, outlining a new vectorization method for multiparameter persist ence modules with an arbitrary number of parameters. Multiparameter persis tence extends the foundational ideas of persistent homology. Importantly\, it can capture topological information of a point clouds with several fun ctions. This talk introduces the definition and motivation behind multipar ameter persistence. We will compare the structure and interpretability of multiparameter persistence modules with their one-parameter counterparts\, highlighting the challenges that arise when working with multiple paramet ers. To address these issues\, we will explore several approaches that ext ract meaningful topological information without requiring full classificat ion of the modules. In particular\, we will take a closer look at the Gene ralized Rank Invariant Landscape (GRIL)\, a recent vectorization method th at provides a computable and interpretable invariant.\n LOCATION:https://researchseminars.org/talk/BNAT/2/ END:VEVENT END:VCALENDAR