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SUMMARY:John Mackay (Bristol)
DTSTART:20251021T130000Z
DTEND:20251021T150000Z
DTSTAMP:20260423T023020Z
UID:WienGAGT/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/48/
 ">Critical exponents for Poincaré profiles and conformal dimension</a>\nb
 y John Mackay (Bristol) as part of Vienna Geometry and Analysis on Groups 
 Seminar\n\n\nAbstract\nBenjamini\, Schramm and Timár quantified how well-
 connected an infinite \ngraph is in terms of its "separation profile"\, wh
 ere one considers the \ncut size of finite subgraphs.  There is an "L^p" v
 ersion of this that \nuses Poincaré inequalities to measure the connectiv
 ity of finite \nsubgraphs.  These "p-Poincaré profiles" were used in prev
 ious work with \nHume and Tessera to show a variety of non-embedding resul
 ts between \ngroups.  I'll mainly talk about current work with Hume where 
 we further \nstudy the connection between these profiles and the conformal
  dimension \nof the boundary at infinity of certain Gromov hyperbolic grou
 ps.\n
LOCATION:https://researchseminars.org/talk/WienGAGT/48/
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