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SUMMARY:Matilde Martínez García (Universidad de la República\, Montevid
 eo)
DTSTART:20210504T133000Z
DTEND:20210504T143000Z
DTSTAMP:20260423T035406Z
UID:Geometry/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geometry/25/
 ">On tilings\, amenable equivalence relations and foliated spaces</a>\nby 
 Matilde Martínez García (Universidad de la República\, Montevideo) as p
 art of Pangolin seminar\n\n\nAbstract\nI will describe a family of foliate
 d spaces constructed from tylings on Lie groups. They provide a negative a
 nswer to the following question by G.Hector: are leaves of a compact folia
 ted space always quasi-isometric to Cayley graphs? Their construction was 
 motivated by a profound conjecture of Giordano\, Putnam and Skau on the cl
 assification\, up to orbit equivalence\, of actions of countable amenable 
 groups on the Cantor set. I will briefly explain how these examples relate
  to the GPS conjecture. This is joint work with Fernando Alcalde Cuesta an
 d Álvaro Lozano Rojo.\n
LOCATION:https://researchseminars.org/talk/Geometry/25/
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