BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Haihan Wu (The University of California\, Davis) DTSTART:20230524T153000Z DTEND:20230524T170000Z DTSTAMP:20260410T144609Z UID:BilTop/61 DESCRIPTION:Title: Webs and Clasps\nby Haihan Wu (The University of California\, Davis) a s part of Bilkent Topology Seminar\n\nLecture held in SB-Z11.\n\nAbstract\ nThe discovery of the Jones polynomial triggered mathematical\ndevelopment s in areas including knot theory and quantum algebra. One way\nto define t he Jones polynomial is by using the braiding in the Temperley-Lieb\ncatego ry\, which can be defined with planar matching. We can use diagrams\nand g raphical calculations in the Temperley-Lieb category to study the rep-\nre sentation theory of quantum sl2. The irreducible representations can be\n “visualized” as the Jones-Wenzl projectors\, which can be used to comp ute\ncolored Jones polynomial and quantum sl2 3-manifold invariant.\n\nThe sl2 case is generalized to other simple Lie algebras by introducing triva -\nlent vertices\, and the generalized graphical categories are called spi ders or web\ncategories. Clasps are defined as analogues of the Jones-Wenz l projectors\, and\nwe can use clasps to compute colored quantum link inva riants\, quantum 3-\nmanifold invariants\, 3-j symbols\, and 6-j symbols o f different quantum groups.\n\nIn this talk\, I will review the background material\, and talk about re-\ncent developments on definition of web cat egories and clasp expansions for\ndifferent Lie types.\n LOCATION:https://researchseminars.org/talk/BilTop/61/ END:VEVENT END:VCALENDAR