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SUMMARY:Local testability in group theory I - Alex Lubotzky (Hebrew Univer
 sity of Jerusalem)
DTSTART:20170509T080000Z
DTEND:20170509T090000Z
UID:TALK72397@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>A finitely generated group &nbsp\;G is be called TESTABL
 E ( or stable w.r.t. to the symmetric groups) if every almost homomorphism
  from G&nbsp\;into a symmetric group Sym(n) is "close" to a real homomorph
 ism. In the talk (which is a first in a series of two\; the second will be
  given by Oren Becker)\,&nbsp\;we will present this notion\, its relation 
 to local testability in computer science and its connections with other gr
 oup theoretic concepts such as sofic groups\,&nbsp\;amenability\, residual
  finiteness\, the profinite topology\, LERF and Kazhdan&#39\;s property (T
 ).&nbsp\;<span><br>The goal is to develop methods to distinguish between t
 estable and non testable groups. Some results and some conjectures will be
  presented.<br></span>Joint work with Oren Becker.</span>
LOCATION:Seminar Room 1\, Newton Institute
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