BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Esther Banaian (University of Minnesota) DTSTART:20200929T150000Z DTEND:20200929T160000Z DTSTAMP:20260423T035413Z UID:OCAS/5 DESCRIPTION:Title: Fri eze Patterns from Dissections\nby Esther Banaian (University of Minnes ota) as part of Online Cluster Algebra Seminar (OCAS)\n\n\nAbstract\nFinit e frieze patterns of positive integers were shown by Conway and Coxeter t o be in bijection with triangulated polygons. Baur\, Parsons\, and Tschabo ld generalized this result\, showing that infinite\nfrieze patterns of pos itive integers are in bijection with triangulated annuli and once-punctur ed discs. More recently\, Holm and Jørgensen investigated frieze patterns arising from dissected polygons.\nThe frieze patterns of Holm and Jørge nsen involve algebraic integers of the form 2cos(pi/p) for an integer p. We combine these generalizations and present results on frieze patterns fr om dissected\nannuli\, using these same algebraic integers. We also discu ss how some of these frieze patterns from dissections can be connected to generalized cluster algebras\, in the sense of Chekhov and Shapiro.\nThis is based on joint work with Jiuqi (Lena) Chen and with Elizabeth Kelley. \n LOCATION:https://researchseminars.org/talk/OCAS/5/ END:VEVENT END:VCALENDAR