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SUMMARY:Linear isoperimetric functions for surfaces in hyperbolic groups -
  Macarena Arenas (University of Cambridge)
DTSTART:20201127T134500Z
DTEND:20201127T144500Z
UID:TALK152836@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:One of the main characterisations of word-hyperbolic groups is
  that they are the groups with a linear isoperimetric function. That is\, 
 for a compact 2-complex X\, the hyperbolicity of its fundamental group is 
 equivalent to the existence of a linear isoperimetric function for disc di
 agrams D -->X.\nIt is likewise known that hyperbolic groups have a linear 
 annular isoperimetric function and a linear homological isoperimetric func
 tion. I will talk about these isoperimetric functions\, and about a (previ
 ously unexplored)  generalisation to all homotopy types of surface diagram
 s. This is joint work with Dani Wise.\n
LOCATION:Zoom: https://maths-cam-ac-uk.zoom.us/j/91636583222
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