BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sonia Mahmoudi (Tohoku University) DTSTART:20210507T050000Z DTEND:20210507T053000Z DTSTAMP:20260423T024450Z UID:APATG/23 DESCRIPTION:Title: A topological introduction to define\, construct and classify a class of we aves\nby Sonia Mahmoudi (Tohoku University) as part of Asia Pacific Se minar on Applied Topology and Geometry\n\n\nAbstract\nFrom innovative wove n artificial muscles to garments made from traditional woven fabrics\, wea vings are historically well-known structures. Research on this subject is still very active in materials science\, but it is very recent in mathemat ics. The study of weavings as new mathematical objects is very interesting in itself but also as an interdisciplinary project\, with the aim of bett er understanding their geometric and topological structure\, often associa ted with physical properties. This talk attempts to introduce weavings fro m a point of view of low dimensional topology. First\, a formal definition of Euclidean and hyperbolic weavings will be stated\, as well as a constr uction method based on the transformation of periodic uniform tilings. Nex t\, an idea of classification for alternating structures will be discussed \, extending some classical results of knot theory such as the bracket pol ynomial and Tait's conjectures.\n LOCATION:https://researchseminars.org/talk/APATG/23/ END:VEVENT END:VCALENDAR