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SUMMARY:Approximations of infinite groups - Goulnara Arzhantseva (Universi
 tät Wien)
DTSTART:20170508T090000Z
DTEND:20170508T100000Z
UID:TALK72371@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We discuss various (still open) questions on approximations of
  finitely generated groups\, focusing on finite-dimensional approximations
  such as residual finiteness and soficity. We begin with a survey of our p
 rior results and then introduce a new type of approximations: constraint m
 etric approximations. We study their existence and stability. In particula
 r\, we investigate the constraint soficity. We characterize the stability 
 of the commutator in permutations\, with constraints. This answers a quest
 ion of Gorenstein-Sandler-Mills (1962).<br> <span><br>Based on joint works
  with Liviu Paunescu (Bucharest).</span>
LOCATION:Seminar Room 1\, Newton Institute
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