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SUMMARY:Spectral gaps for stable commutator length via angle structures - 
 Alexis Marchand (Polish Academy of Sciences)
DTSTART:20251114T134500Z
DTEND:20251114T150000Z
UID:TALK240244@talks.cam.ac.uk
DESCRIPTION:Stable commutator length (scl) is a measure of homological com
 plexity of group elements\, with connections to many topics in geometric t
 opology\, including quasimorphisms\, bounded cohomology\, and simplicial v
 olume. The goal of this talk is to shed light on some of its relations wit
 h non-positive curvature. We will present a geometric method to prove shar
 p lower bounds for scl\, giving a new proof of a theorem of Heuer on the s
 pectral gap of scl in right-angled Artin groups. We will explain the idea 
 of the method and show how it works in the special case of free groups.\nD
 PMMS Geometric Group Theory Seminar.
LOCATION:Seminar Room 2\, Newton Institute
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