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SUMMARY:Karin Baur (University of Leeds)
DTSTART:20201103T160000Z
DTEND:20201103T170000Z
DTSTAMP:20260423T021137Z
UID:OCAS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OCAS/10/">Fl
 ips in triangulations and matchings</a>\nby Karin Baur (University of Leed
 s) as part of Online Cluster Algebra Seminar (OCAS)\n\n\nAbstract\nPlane p
 erfect matchings of $2n$ points in convex position are known to be in\nbij
 ection with triangulations of convex polygons of size $n + 2$\; they are\n
 both counted by the Catalan numbers.\nWe explain how to give a direct bije
 ction and how it can be extended to a\nbijection between monochromatic mat
 chings on $k$ colours and tilings by\n$(k+2)$-gons. Edge flips are a class
 ic operation to perform local changes in\nboth sets. We use the above bije
 ction to determine the two types of edge\nflips are related. We use this t
 o give an algebraic interpretation of the\nflip graph of triangulations in
  terms of elements of the corresponding\nTemperley-Lieb algebra.\nThis is 
 joint work with\nO. Aichholzer\, L. Donner (Andritsch)\, B. Vogtenhuber.\n
LOCATION:https://researchseminars.org/talk/OCAS/10/
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