BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20251212T180839EST-5966GrPi7i@132.216.98.100
DTSTAMP:20251212T230839Z
DESCRIPTION:Title: Growth of stable subgroups in Morse-local-to-global grou
 ps.\n\nAbstract: Gersten and Short showed that given a quasiconvex subgrou
 p H of a hyperbolic group G\, for any finite generating set S of G\, the l
 anguage of geodesics in Cay(G\,S) representing elements of H is a regular 
 language. Having a regular language of geodesics is typically useful for u
 nderstanding the growth function of the respective group/subgroup. For exa
 mple\, Dahmani\, Futer\, and Wise make use of the above fact to show that 
 non-elementary hyperbolic groups grow exponentially more quickly than thei
 r infinite-index quasi-convex subgroups.\n\nA group is said to be MLTG if 
 local Morse quasi-geodesics are global. The class of MLTG include mapping 
 class groups\, CAT(0) groups\, Teichmuller spaces\, graph products of hype
 rbolic groups\, and a large class of hierarchically hyperbolic groups. Sta
 ble subgroups of finitely generated groups generalize quasi-convex subgrou
 ps of hyperbolic groups\, and if the group G is hyperbolic\, then the two 
 notions coincide.\n\nWe show that given a stable subgroup H of some MLTG g
 roup G\, for any finite generating set S of G\, the language of geodesics 
 representing elements of H is a regular language. As an application\, and 
 in the spirit of Dahmani\, Futer\, and Wise's result above\, we show that 
 torsion-free MLTG groups grow exponentially more quickly than their infini
 te-index stable subgroups. The talk is based on an ongoing project with Co
 rdes\, Russell\, and Spriano.\n
DTSTART:20200108T200000Z
DTEND:20200108T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Abdalrazzaq Zalloum (Queen's University) 
URL:/mathstat/channels/event/abdalrazzaq-zalloum-queen
 s-university-303839
END:VEVENT
END:VCALENDAR