Alessandro Sisto (ETH, Zürich) - Cubulation of hulls of points in hierarchically hyperbolic spaces
Опубликовано: 29 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
401
6
Graphs, surfaces, and cube complexes
12 July 2018
Abstract: It is well-known that the quasi-convex hull of finitely many points in a hyperbolic space is quasi-isometric to a tree. I will discuss an analogous fact in the context of hierarchically hyperbolic spaces, a large class of spaces and groups including mapping class groups, Teichmueller space, RAAGs, RACGs, and others. In this context, the approximating tree is replaced by a CAT(0) cube complex. I will also discuss applications of this cubulation, including a theorem about quasiflats.