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Seminario Teoría de Grupos 14/10/2021
Ponente:Nima Hoda (ENS-Paris)
Aula Naranja (ICMAT)
Online: https://conectaha.csic.es/b/yag-mxb-nuz-m1o
Hora: 10:30
Title: Shortcut graphs and groups
Abstract:
Shortcut graphs are graphs in which long enough cycles cannot embed
without metric distortion. Shortcut groups are groups which act
properly and cocompactly on shortcut graphs. These notions unify a
surprisingly broad family of graphs and groups of interest in
geometric group theory and metric graph theory including: systolic and
quadric groups (in particular finitely presented C(6) and C(4)-T(4)
small cancellation groups), cocompactly cubulated groups, hyperbolic
groups, Coxeter groups and the Baumslag-Solitar group BS(1,2). Most of
these examples satisfy a strong form of the shortcut property. I will
discuss some of these examples as well as some general constructions
and properties of shortcut graphs and groups.