Daniel Wise (McGill) - No growth-gaps for special cube complexes
Опубликовано: 24 Июль 2026
на канале: 2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions
на канале: 2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions
574
4
Graphs, surfaces, and cube complexes
10 July 2018
Abstract: It was observed recently with Dahmani and Futer that the growth-rate of an infinite index quasiconvex subgroup H is always less than the growth-rate of G. A celebrated theorem of Corlette states that a quaternionic hyperbolic lattice G has the property that any infinite index subgroup H has growth-rate uniformly bounded away from the growth-rate of G. In contrast to this,
we show that when G is the fundamental group of a compact special cube complex there is a sequence {H_n} of infinite index quasiconvex subgroups whose growth-rates converge to the growth rate of G.
This is joint work with Jiakai Li.