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SUMMARY:Injective hulls and higher rank hyperbolicity (Geometry Seminar)
DTSTART:20241211T111500
DTEND:20241211T121500
DTSTAMP:20260526T082807Z
UID:3a8ab9194cb6db56aa1b9b6878252f4217ec2f5daad0ce974a4dcbd3
CATEGORIES:Conferences - Seminars
DESCRIPTION:Martina Jørgensen\, ETH Zurich\nWe introduce the notions of a
 symptotic rank and injective hulls before investigating a coarse version o
 f Dress’ 2(n+1)-inequality characterising metric spaces of combinatorial
  dimension at most n. This condition\, referred to as (n\,δ)-hyperbolicit
 y\, reduces to Gromov's quadruple definition of δ-hyperbolicity for n=1. 
 The ℓ∞ product of n δ-hyperbolic spaces is (n\,δ)-hyperbolic and\, 
 without further assumptions\, any (n\,δ)-hyperbolic space admits a slim (
 n+1)-simplex property analogous to the slimness of quasi-geodesic triangle
 s in Gromov hyperbolic spaces. Using tools from recent developments in geo
 metric group theory\, we look at some examples and show that every Helly g
 roup and every hierarchically hyperbolic group of asymptotic rank n acts g
 eometrically on some (n\,δ)-hyperbolic space. Joint work with Urs Lang.
LOCATION:CH B3 31 https://plan.epfl.ch/?room==CH%20B3%2031
STATUS:CONFIRMED
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