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SUMMARY:Will Cohen (University of Cambridge)
DTSTART:20251113T133000Z
DTEND:20251113T143000Z
DTSTAMP:20260423T020956Z
UID:GaTO/128
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/128/">I
 mproving acylindrical actions on trees</a>\nby Will Cohen (University of C
 ambridge) as part of Geometry and topology online\n\nLecture held in Room 
 B3.02 in the Zeeman Building\, University of Warwick.\n\nAbstract\nLoosely
  speaking\, an action of a group on a tree is acylindrical if long enough 
 paths must have small stabilisers.  Groups admitting such actions form a n
 atural subclass of acylindrically hyperbolic groups\, and an interesting f
 eature of acylindrical actions on trees is that many properties of groups 
 are inherited from their vertex stabilisers.  In order to make use of this
 \, it is important to have some degree of control over these stabilisers. 
  For example\, can we ask for these stabilisers to be finitely generated? 
  Even stronger\, if our group is hyperbolic\, can we ask for the stabilise
 rs to be quasiconvex?\n\nI will introduce acylindrical actions as well as 
 some stronger and related concepts.  I will also discuss a method known as
  the Dunwoody—Sageev resolution.  We use this to move between these conc
 epts and provide positive answers to the above questions in some cases.\n
LOCATION:https://researchseminars.org/talk/GaTO/128/
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