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SUMMARY:Elia Fioravanti (MPIM-Bonn)
DTSTART:20211019T130000Z
DTEND:20211019T150000Z
DTSTAMP:20260423T023018Z
UID:WienGAGT/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/1/"
 >Automorphisms and splittings of special groups</a>\nby Elia Fioravanti (M
 PIM-Bonn) as part of Vienna Geometry and Analysis on Groups Seminar\n\n\nA
 bstract\nThe automorphism group of a discrete group \\(G\\) can often be d
 escribed quite explicitly in terms of the amalgamated-product and HNN spli
 ttings of \\(G\\) over a family of subgroups. In the introductory talk\, I
  will discuss the classical case when \\(G\\) is a Gromov-hyperbolic group
  (originally due to Rips and Sela)\, highlighting some of the techniques i
 nvolved. The research talk will then focus on automorphisms of 'special gr
 oups'\, a broad family of subgroups of right-angled Artin groups introduce
 d by Haglund and Wise. The main result is that\, when \\(G\\) is special\,
  the outer automorphism group \\(\\mathrm{Out}(G)\\) is infinite if and on
 ly if \\(G\\) splits over a centraliser or closely related subgroups. A si
 milar result holds for automorphisms that preserve a coarse median structu
 re on \\(G\\).\n
LOCATION:https://researchseminars.org/talk/WienGAGT/1/
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