BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Clemens Bannwart DTSTART:20251117T113000Z DTEND:20251117T133000Z DTSTAMP:20260423T022714Z UID:BNAT/3 DESCRIPTION:Title: Mor se-Smale vector fields: definition\, properties and induced structures \nby Clemens Bannwart as part of Basic Notions and Applied Topology Semina r\n\nLecture held in Room 1 at the Institute of Mathematics PAS.\n\nAbstra ct\nIn this talk we introduce some topics which are important for my secon d talk (which will be given in the TDA Seminar on the following day). We u npack the definition of Morse-Smale vector fields and discuss some of thei r properties\, such as structural stability and genericity. We devote some time to the gradient-like case\, which is closely linked to Morse theory. We see how in this case we can obtain a chain complex\, called the Morse complex\, as well as a CW decomposition of the underlying manifold. Time-p ermitting\, we discuss the relation between Morse theory and persistent ho mology.\n LOCATION:https://researchseminars.org/talk/BNAT/3/ END:VEVENT END:VCALENDAR