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SUMMARY:Geometry and rigidity of quasi-isometries of horospherical product
s.
DTSTART;VALUE=DATE-TIME:20221213T161500
DTEND;VALUE=DATE-TIME:20221213T180000
UID:faea6da7293f761f4262b80562dbccf797129dde01f936d26ea1cb8d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Tom Ferragut\, Fribourg et Montpellier\nHorospherical products
of two Gromov hyperbolic spaces where introduced to unify the constructio
n of metric spaces such as Diestel-Leader graphs\, the Sol geometry or tre
ebolic spaces. In this talk we will first recall all the bases required to
construct these horospherical products\, then we will study their large s
cale geometry through a descritption of their geodesics and visual boundar
y.\nAfterwards we will get interested in a geometric rigidity property of
their quasi-isometries. This result will lead us to a description of the q
uasi-isometry group of solvable Lie groups constructed as horospherical pr
oducts and to a new quasi-isometry classification for some solvable Lie gr
oups.
LOCATION:MAA112
STATUS:CONFIRMED
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