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SUMMARY:Alexis Marchand\, "Stable commutator length\, spectral gaps\, and 
 negative curvature in groups"
DTSTART:20260611T083000Z
DTEND:20260611T100000Z
DTSTAMP:20260614T232600Z
UID:indico-event-16149@indico.math.cnrs.fr
DESCRIPTION:Stable commutator length (scl) is a measure of homological com
 plexity of group elements\, with connections to many topics in group theor
 y and geometric topology\, including quasimorphisms\, bounded cohomology\,
  and circle actions. The first part of the talk will be a general introduc
 tion to scl and to some of these topics\nIn the second part\, we will focu
 s on spectral gaps and their relation with notions of negative curvature i
 n group theory. We will present a geometric method to prove spectral gap r
 esults\, giving a new proof of a theorem of Heuer on the spectral gap of s
 cl in right-angled Artin groups. We will explain the idea of the method an
 d show how it works in the special case of free groups\n\nhttps://indico.m
 ath.cnrs.fr/event/16149/
URL:https://indico.math.cnrs.fr/event/16149/
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