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UID:20251028T222324EDT-4224REFvva@132.216.98.100
DTSTAMP:20251029T022324Z
DESCRIPTION:Title: When is the spine of Outer Space for a free product CAT(
 0)?\n\nAbstract: Guirardel and Levitt define an Outer Space for a free pro
 duct of groups inspired by Culler and Vogtmann's Outer Space for the free 
 group. Bridson in his thesis showed that the spine of Culler–Vogtmann Oute
 r Space never supports a 'nice' CAT(0) metric when the rank of the free gr
 oup in question is at least three. CAT(0) geometry\, a comparison geometry
  introduced by Gromov\, is a beautiful 'fine-scale' geometry providing a c
 ommon generalization of the geometries of Euclidean and hyperbolic spaces\
 , on the one hand\, and certain singular metric spaces\, like trees\, on t
 he other. In this talk we will completely settle the question of when the 
 spine of Guirardel–Levitt Outer Space admits a 'nice' CAT(0) metric. Like 
 Bridson\, our results are mostly in the negative\, with one surprising fam
 ily of positive results.\n\nOn a separate note\, there is a talk on Friday
 \, March 1 at the Quebec Mathematics Colloquium at UdeM by operator algebr
 aist Ilijas Farah which may be of interest to some participants. Wine and 
 cheese will be served after the talk. See here for more info about the tal
 k: https://www.crmath.ca/en/activities/#/type/seminar/id/20342\n
DTSTART:20240228T200000Z
DTEND:20240228T210000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Rylee Alanza Lyman (Rutgers University–Newark)
URL:/mathstat/channels/event/rylee-alanza-lyman-rutger
 s-university-newark-355717
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