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SUMMARY:Understanding automorphisms through actions on trees - Naomi Andre
 w\, Oxford University
DTSTART:20221125T160000Z
DTEND:20221125T170000Z
UID:TALK180374@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:On some level\, group theory is the study of "symmetries of so
 mething"\, so it becomes tempting to investigate the automorphisms (symmet
 ries) of a given group. These automorphism groups can have some surprising
  behaviour: for instance\, changing a single integer in the presentation o
 f a Baumslag–Solitar group can turn a finite outer automorphism group in
 to one which is not even finitely generated.\n\nI will introduce Bass–Se
 rre theory\, the study of group actions on trees\, and discuss how these a
 ctions can provide information about the automorphisms of your group. As t
 ime allows\, I will also introduce joint work with Armando Martino where w
 e apply these techniques to certain groups related to Out(F_n).\n
LOCATION:MR13
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