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SUMMARY:Vladimir Vankov (Southampton)
DTSTART:20220120T150500Z
DTEND:20220120T155500Z
DTSTAMP:20260423T021052Z
UID:GaTO/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/51/">Un
 countably many quasi-isometric torsion-free groups</a>\nby Vladimir Vankov
  (Southampton) as part of Geometry and topology online\n\n\nAbstract\nThe 
 study of quasi-isometries between finitely generated groups has traditiona
 lly been one of the more common questions of geometric group theory\, whic
 h includes understanding the possible nature of quasi-isometry classes in 
 general. There are several precedents for sets of uncountable cardinality 
 to exhibit surprising behaviour differing from countable sets\, especially
  when it comes to subgroups. We explore generalising constructions of unco
 untably many torsion groups falling into the same quasi-isometry class via
  commensurability\, to the torsion-free setting. This is done by consideri
 ng bounded cohomology and appealing to algebraic concepts classically foun
 d in finite group theory\, in order to produce examples of a continuum of 
 quasi-isometric and torsion-free\, but pairwise non-isomorphic finitely ge
 nerated groups.\n
LOCATION:https://researchseminars.org/talk/GaTO/51/
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