Tomorrow at U. Haifa Topology & Geometry seminar on January 7, 2019 at 12:10
Geometry & Topology Seminar
Speaker: Ivan Levcovitz (Technion)
Topic: Coarse geometry of right-angled Coxeter groups
Place: room 614 in the Science & Education Building
Date: Monday, January 7, 2019
A main goal of geometric group theory is to understand finitely generated groups up to a coarse equivalence (quasi-isometry) of their Cayley graphs. Right-angled Coxeter groups, in particular, are important classical objects that have been unexpectedly linked to the theory of hyperbolic 3-manifolds through recent results, including those of Agol and Wise. I will give a brief background of what is currently known regarding the quasi-isometric classification of right-angled Coxeter groups. I will then describe a new computable quasi-isometry invariant, the hypergraph index, and its relation to other invariants such as divergence and thickness.