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SUMMARY:Ján Špakula (Southampton)
DTSTART:20220309T140000Z
DTEND:20220309T150000Z
DTSTAMP:20260423T021053Z
UID:WCS/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WCS/51/">On 
 measured expanders</a>\nby Ján Špakula (Southampton) as part of Warwick 
 Combinatorics Seminar\n\n\nAbstract\nBy a "measured graph" we simply mean 
 a graph with weights\nassigned to its vertices. The classical isoperimetri
 c (a.k.a. Cheeger)\nconstant describing connectedness of a graph generalis
 es to this\nsetting\, leading to a notion of a "measured expander": a sequ
 ence of\nfinite graphs with a uniform positive lower bound on this isoperi
 metric\nconstant.\nThe talk will walk through a bit of coarse geometry to 
 a functional\nanalytic question that led us to consider this notion. Our m
 ain result\nis a characterisation of measured expanders through a Poincare
 \ninequality\, and thus that they do not coarsely embed into $L^p$-space. 
 I\nwill also present some examples.\nBased on joint work with K. Li and J.
  Zhang.\n
LOCATION:https://researchseminars.org/talk/WCS/51/
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