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SUMMARY:Ismael Morales (Oxford)
DTSTART:20250306T133000Z
DTEND:20250306T143000Z
DTSTAMP:20260423T052449Z
UID:GaTO/118
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/118/">F
 ixed points\, splittings and division rings</a>\nby Ismael Morales (Oxford
 ) as part of Geometry and topology online\n\nLecture held in Room B3.02 in
  the Zeeman Building\, University of Warwick.\n\nAbstract\nLet $G$ be a fr
 ee group of rank $N$\, let $f$ be an automorphism of $G$ and let $\\mathrm
 {Fix}(f)$ be the corresponding subgroup of fixed points. Bestvina and Hand
 el showed that the rank of $\\mathrm{Fix}(f)$ is at most $N$\, for which t
 hey developed the theory of train track maps on free groups. Different arg
 uments were provided later on by Sela\, Paulin and Gaboriau-Levitt-Lustig.
  In this talk\, we present a new proof which involves the Linnell division
  ring of $G$. We also discuss how our approach relates to previous ones an
 d how it gives new insight into variations of the problem.\n
LOCATION:https://researchseminars.org/talk/GaTO/118/
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