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SUMMARY:Xabier Legaspi (ICMAT and IRMAR)
DTSTART:20221018T130000Z
DTEND:20221018T150000Z
DTSTAMP:20260423T041008Z
UID:WienGAGT/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/25/
 ">Constricting elements and the growth of quasi-convex subgroups</a>\nby X
 abier Legaspi (ICMAT and IRMAR) as part of Vienna Geometry and Analysis on
  Groups Seminar\n\nLecture held in SR 10\, 2. OG.\, OMP 1.\n\nAbstract\nLe
 t \\(G\\) be a group acting properly on a metric space \\(X\\) and conside
 r a path system of \\(X\\). Assume that \\(G\\) contains a constricting el
 ement with respect to this path system\, i.e. a very general condition of 
 non-positive curvature. This talk will be about the relative growth and th
 e coset growth of the quasi-convex subgroups of \\(G\\) with respect to th
 is path system. Through the triangle inequality\, we will see that we can 
 determine that the first kind of growth rates are strictly smaller than th
 e growth rate of \\(G\\)\, while the second kind of growth rates coincide 
 with the growth rate of \\(G\\). Applications include actions of relativel
 y hyperbolic groups\, CAT(0) groups with Morse elements and mapping class 
 groups. This generalises work of Antolín\, Dahmani-Futer-Wise and Gitik-R
 ips.\n
LOCATION:https://researchseminars.org/talk/WienGAGT/25/
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