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UID:20260608T222029EDT-5605jZhsmK@132.216.98.100
DTSTAMP:20260609T022029Z
DESCRIPTION: \n\nTitle: Iterated medial subdivision in surfaces of constant
  curvature and applications to acute triangulations of hyperbolic and sphe
 rical simplicial complexes.\n\nAbstract: Consider a triangle in the Euclid
 ean plane and subdivide it recursively into 4 sub-triangles by joining its
  midpoints. Each generation of this iterated subdivision yields triangles 
 which are all similar to the original one and exactly twice as small as th
 e triangle(s) of the previous generation. What happens when we perform thi
 s iterated medial triangle subdivision on a geodesic triangle when the und
 erlying space is not Euclidean? I will first produce examples of various u
 nfamiliar and unexpected behaviours of this subdivision in non-Euclidean g
 eometries. I will then show that this iterated subdivision nevertheless 's
 tabilizes in the limit' (in a sense that will be made precise) when the un
 derlying space is of constant non-zero curvature. My aim is to combine thi
 s result with a forthcoming result of Christopher Bishop on conforming tri
 angulations of PSLGs to construct acute triangulations of hyperbolic and s
 pherical simplicial complexes.\n\n \n\nLink: https://mcgill.zoom.us/j/9891
 0726246?pwd=VHlzTzdTZGtqcHVuWGNKdys4d0FzQT09\n\nZoom ID: 989 1072 6246\n	Pa
 ssword: delta\n
DTSTART:20210111T143000Z
DTEND:20210111T143000Z
SUMMARY:Florestan Brunck (McGill University)
URL:https://www.mcgill.ca/channels/channels/event/florestan-brunck-mcgill-u
 niversity-327574
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