BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tane Vergili (Karadeniz Technical University) DTSTART:20211011T123000Z DTEND:20211011T133000Z DTSTAMP:20260422T135903Z UID:BilTop/26 DESCRIPTION:Title: Persistence modules and the interleaving distance\nby Tane Vergili (Ka radeniz Technical University) as part of Bilkent Topology Seminar\n\nLectu re held in SB-Z11.\n\nAbstract\nIn topological data analysis\, a persisten ce module is obtained with applying homology with coefficients in some fix ed field to the increasing family of topological spaces or complexes. The distance between two persistence modules can be measured with the interlea ving metric. The collection of persistence modules with the interleaving m etric fails to be a topological space since it is not a set but a class. F or this\, one can restrict oneself to the identified sets together with th e topology induced by the interleaving distance in order to study their ba sic topological properties. In this talk we are going to discuss persisten ce modules\, the interleaving distance and the topological properties of t he considered sets of persistence modules induced by the interleaving dist ance.\n LOCATION:https://researchseminars.org/talk/BilTop/26/ END:VEVENT END:VCALENDAR