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UID:20250704T163242EDT-3066BMAxIC@132.216.98.100
DTSTAMP:20250704T203242Z
DESCRIPTION:Title: Topological characterization of boundaries of free produ
 cts of groups.\n\nAbstract: I will introduce the operation\, called dense 
 amalgam\, which to any tuple X1\,...\, Xk of non-empty compact metric spac
 es associates some disconnected perfect compact metric space\, denoted ⨆ {
 \displaystyle \bigsqcup ⊔(X1\, . . . \, Xk)\, in which there are many appr
 opriately distributed copies of the spaces X1\, . . . \, Xk. I will also p
 resent a convenient characterization of dense amalgams\, in terms of a lis
 t of properties\, similar in spirit to the well known characterization of 
 the Cantor set. I will explain that\, in various settings\, the ideal boun
 dary of the free product of groups (amalgamated along finite subgroups) is
  homeomorphic to the dense amalgam of boundaries of the factors. For examp
 le\, the boundary of a Coxeter group which has infinitely many ends\, and 
 which is not virtually free\, is the dense amalgam of the boundaries of th
 e maximal 1-ended special subgroups.\n
DTSTART:20181212T200000Z
DTEND:20181212T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Jacek Świątkowski (University of Wrocław)
URL:/mathstat/channels/event/jacek-swiatkowski-univers
 ity-wroclaw-292403
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