BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Group actions on quasi-median graphs and acylindrical hyperbolicit
 y - Motiejus Valiunas (Southampton)
DTSTART:20190222T134500Z
DTEND:20190222T144500Z
UID:TALK118762@talks.cam.ac.uk
CONTACT:Richard Webb
DESCRIPTION:CAT (0) cube complexes form a class of non-positively curved s
 paces playing a special role in geometric group theory. For instance\, suc
 h spaces arise naturally in the study of right-angled Artin or Coxeter gro
 ups. These complexes can be identified with the class of median graphs\, a
 nd the latter can be generalised to quasi-median graphs\, or 'CAT (0) pris
 m complexes'. Recent work of A. Genevois has equipped quasi-median graphs 
 with a rich combinatorial structure akin to that of CAT (0) cube complexes
 \, which is useful in studying group actions. In particular\, we may use q
 uasi-median graphs to study graph products - a class of groups that interp
 olate between direct and free products.\n\nIn this talk I will give a brie
 f introduction to quasi-median graphs and their cubical-like geometry. I w
 ill construct the 'contact graph' of a quasi-median graph\, which turns ou
 t to be quasi-isometric to a tree\, and explain the conditions under which
  a group action on a quasi-median graph induces a particularly nice (acyli
 ndrical) action on the contact graph. If time permits\, I will outline an 
 application or two to graph products.
LOCATION:CMS\, MR13
END:VEVENT
END:VCALENDAR