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SUMMARY:Henry Bradford (Cambridge)
DTSTART:20221020T130500Z
DTEND:20221020T140000Z
DTSTAMP:20260423T021105Z
UID:GaTO/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/69/">Lo
 cal permutation stability</a>\nby Henry Bradford (Cambridge) as part of Ge
 ometry and topology online\n\nLecture held in Room B3.02 in the Zeeman Bui
 lding\, University of Warwick.\n\nAbstract\nA group \\(\\Gamma\\) is sofic
  if elements of \\(\\Gamma\\) can be distinguished by almost-actions on fi
 nite sets. It is a major unsolved problem to determine whether all groups 
 are sofic. One approach to this problem which has gained much recent atten
 tion is that of “permutation stability”\, that is\, showing that almos
 t-actions of a group are controlled by its actions. We introduce a “loca
 l” generalization of permutation stability\, under which actions are rep
 laced by partial actions. We exhibit an uncountable family of groups which
  are locally permutation stable but not permutation stable\, coming from t
 opological dynamics. The proof is based on a criterion for local stability
  of amenable groups\, in terms of invariant random subgroups.\n
LOCATION:https://researchseminars.org/talk/GaTO/69/
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