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SUMMARY:Local testability in group theory II - Oren Becker (Hebrew Univers
 ity of Jerusalem)
DTSTART:20170509T090000Z
DTEND:20170509T100000Z
UID:TALK72398@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:This talk is a continuation of Alex Lubotzky&#39\;s talk with 
 a similar title (but an effort will be made to keep it independent).<br>We
  will describe a combinatorial/geometric method to prove testability (or n
 on-testability) in various cases.&nbsp\;<br>For certain amenable groups\, 
 we present a method of "tiling" every Schreier graph by finite Schreier gr
 aphs. This is an extension of the work of Weiss on monotileable groups. We
  then use the tilings to prove testability for those groups by a method wh
 ich has its origins in the work of Ornstein-Weiss on amenable groups. This
  enables us to answer some questions posed in a paper by Arzhantseva and P
 aunescu and extend some of their results. It also suggests many more quest
 ions for further research.
LOCATION:Seminar Room 1\, Newton Institute
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