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UID:20260525T091843EDT-8906t9ttMm@132.216.98.100
DTSTAMP:20260525T131843Z
DESCRIPTION:Title: A 'cubist' decomposition of the Handel-Mosher axis bundl
 e\n\nAbstract: In joint work with Chi Cheuk Tsang\, we show that the axis 
 bundle of a nongeometric fully irreducible outer automorphism admits a can
 onical “cubist” decomposition into branched cubes that fit together with s
 pecial combinatorics. From this structure\, we locate a canonical finite c
 ollection of periodic fold lines in each axis bundle. This can be consider
 ed as an analogue of results of Hamenstadt and Agol from the surface setti
 ng\, which state that the set of trivalent train tracks carrying the unsta
 ble lamination of a pseudo-Anosov map can be given the structure of a CAT(
 0) cube complex\, and that there is a canonical periodic fold line in this
  cube complex. This work also gives a “hands on” solution to the fully irr
 educible conjugacy problem in Out(F_r)\, and an answer to questions of Han
 del-Mosher and Bridson-Vogtmann regarding the geometry of the axis bundle.
 \n\nWe will gather for teatime in the lounge at 4pm after the talk.\n\n \n
DTSTART:20251105T200000Z
DTEND:20251105T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Catherine Pfaff (Queen's University)
URL:https://www.mcgill.ca/mathstat/channels/event/catherine-pfaff-queens-un
 iversity-368691
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