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SUMMARY:Automorphisms of virtually special groups - Elia Fioravanti (Karls
 ruhe Institute of Technology (KIT))
DTSTART:20250901T104500Z
DTEND:20250901T114500Z
UID:TALK233626@talks.cam.ac.uk
DESCRIPTION:For which families of finitely generated groups G are automorp
 hisms "tame"? For instance\, one can wonder whether Out(G) is finitely gen
 erated\, or whether the stretch factors of the automorphisms of G are alge
 braic integers. Following breakthroughs of Rips and Sela in the 90s\, auto
 morphisms of hyperbolic groups are known to satisfy both of these forms of
  tameness\, but much less is known on automorphisms of more general non-po
 sitively curved groups. We show that automorphisms of special groups (in t
 he sense of Haglund and Wise) also satisfy the same two forms of tameness.
  Proofs rely on non-small R-trees and a new JSJ decomposition over central
 isers.
LOCATION:Seminar Room 1\, Newton Institute
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