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X-ORIGINAL-URL:https://www.math.ens.psl.eu
X-WR-CALDESC:évènements pour Département de mathématiques et applications
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TZID:Europe/Paris
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TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20160327T010000
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DTSTART:20161030T010000
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DTSTART;TZID=Europe/Paris:20160621T140000
DTEND;TZID=Europe/Paris:20160621T150000
DTSTAMP:20260417T233158
CREATED:20160621T120000Z
LAST-MODIFIED:20211104T100826Z
UID:8286-1466517600-1466521200@www.math.ens.psl.eu
SUMMARY:Burnside groups and small cancellation theory
DESCRIPTION:The Novikov-Adian theorem states that a non-cyclic Burnside group B(m\,n) of odd exponent n greater or equal 665 is infinite. Starting from the original approach\, all known proofs of infiniteness of B(m\,n) utilize the idea that the group can be described in terms of some iterated small cancellation condition. In the last decade\, several explicit implementations of small cancellation conditions of this type were introduced which can be applied also in a more general setup to groups acting on hyperbolic metric spaces. I will give a brief overview of the small cancellation approach to Burnside groups and describe yet another implementation providing a reasonably accessible proof that B(m\,n) is infinite with rather moderate bound n > 2000 on the odd exponent n.
URL:https://www.math.ens.psl.eu/evenement/burnside-groups-and-small-cancellation-theory/
LOCATION:IHP (rue Pierre-et-Marie Curie) salle 01
CATEGORIES:Séminaire irrégulier
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20160628T140000
DTEND;TZID=Europe/Paris:20160628T150000
DTSTAMP:20260417T233158
CREATED:20160628T120000Z
LAST-MODIFIED:20211104T101028Z
UID:8290-1467122400-1467126000@www.math.ens.psl.eu
SUMMARY:Strong hyperbolicity
DESCRIPTION:This talk is concerned with the space between CAT(-1) spaces and Gromov hyperbolic spaces. Part of the motivation comes from the analytic theory of hyperbolic groups\, and one of the main goals is that of getting hyperbolic groups to act geometrically on hyperbolic spaces with additional CAT(-1) features. Based on joint work with Jan Spakula.
URL:https://www.math.ens.psl.eu/evenement/strong-hyperbolicity/
LOCATION:Salle 001 IHP (rue Pierre-et-Marie Curie)
CATEGORIES:Séminaire irrégulier
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