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SUMMARY:Critical exponents for Poincaré profiles and conformal dimension 
 - John Mackay (University of Bristol)
DTSTART:20251007T104500Z
DTEND:20251007T114500Z
UID:TALK236230@talks.cam.ac.uk
DESCRIPTION:Benjamini\, Schramm and Tim&aacute\;r quantified how well-conn
 ected an infinite graph is in terms of its "separation profile"\, where on
 e considers the cut size of finite subgraphs.&nbsp\; Instead of cut size o
 ne can use the spectral gap of the graph p-Laplacian to measure the connec
 tivity of finite subgraphs\, and these "p-Poincar&eacute\; profiles" were 
 used in previous work with Hume and Tessera to show a variety of non-embed
 ding results between groups.&nbsp\; I'll mainly talk about current work wi
 th Hume where we further study the connection between these profiles and t
 he conformal dimension of the boundary at infinity of certain Gromov hyper
 bolic groups.
LOCATION:Seminar Room 1\, Newton Institute
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