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UID:20250509T065556EDT-9819eFTlov@132.216.98.100
DTSTAMP:20250509T105556Z
DESCRIPTION:Kazhdan's property (T) of random groups in the square model for
  d>5/12.\n\nA random group in the square model is obtained by fixing a set
  of n generators and introducing at random about (2n)^(4d) relations of le
 ngth 4 between them\, where d is a fixed parameter called the density and 
 n tends to infinity. By results of T. Odrzygóźdź\, if d<1/2\, then these g
 roups are with overwhelming probability (w.o.p.) infinite and hyperbolic. 
 We prove that for d>5/12 the random groups G in the square model have w.o.
 p. Kazhdan's property (T). The proof proceeds by constructing a triangular
  group H\, which maps onto finite index subgroup of G and verifying that t
 he Żuk's spectral criterion can be successfully applied to yield Kazhdan's
  property of H. The verification proceeds by analyzing random walks on the
  link of H\, in the spirit of Broder and Shamir. Joint work with T. Odrzyg
 óźdź and P. Przytycki.\n
DTSTART:20161123T200000Z
DTEND:20161123T210000Z
LOCATION:Room 1234\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Damian Orlef\, Univeristy of Warsaw
URL:/channels/event/damian-orlef-univeristy-warsaw-264
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