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SUMMARY:* HORAIRE ET SALLE INHABITUELS* \, Titre: A quasi-isometric classi
 fication of permutational wreath products
DTSTART:20250523T120000Z
DTEND:20250523T130000Z
DTSTAMP:20260610T044700Z
UID:indico-event-13940@indico.math.cnrs.fr
DESCRIPTION:Speakers: Vincent Dumoncel (IMJ -PRG)\n\n \nIt is in general 
 a hard problem to determine whether two given finitely generated groups ar
 e quasi-isometric\, even among some "well behaved" classes. One such class
 \, which has been the subject of intensive research in group theory\, is t
 he one of wreath products\, as they often exhibit unexpected and interesti
 ng behaviours.The classification up to quasi-isometry of lamplighters over
  $\\Z$ goes back to 2013\, and in a recent work (2021)\, Genevois and Tess
 era extended it to all lamplighters over finitely presented one-ended grou
 ps. This raises the question of also classifying their permutational varia
 nts. In this context\, strong rigidity phenomenon as the ones observed for
  standard wreath products do not hold\, whence the need of another approac
 h. After having introduced and discussed several re-inforcements of quasi-
 isometries\, I will try to sketch the main guidelines of the proof of a qu
 asi-isometric classification of some permutational wreath products\, that 
 covers a number of classical cases. If time permits\, we will also discuss
  some applications and open problems.\n\nhttps://indico.math.cnrs.fr/event
 /13940/
LOCATION:Fokko du Cloux (ICJ)
URL:https://indico.math.cnrs.fr/event/13940/
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