Divergence, thickness, and hypergraph index for Coxeter groups
Pallavi Dani (LSU)
Abstract: Divergence and thickness are well studied quasi-isometry invariants for finitely generated groups. In general, they can be quite difficult to compute. In the case of right-angled Coxeter groups, Levcovitz introduced the notion of hypergraph index, which can be algorithmically computed from the defining graph, and proved that it determines the thickness and divergence of the group. I will talk about joint work with Yusra Naqvi, Ignat Soroko, and Anne Thomas, in which we propose a definition of hypergraph index for general Coxeter groups. We show that it determines the divergence and thickness in an infinite family of non-right-angled Coxeter groups.
algebraic topologyfunctional analysisgroup theorygeometric topologyoperator algebras
Audience: researchers in the topic
Vienna Geometry and Analysis on Groups Seminar
Organizer: | Christopher Cashen* |
*contact for this listing |