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SUMMARY:Jean Pierre Mutanguha (IAS)
DTSTART:20211123T140000Z
DTEND:20211123T160000Z
DTSTAMP:20260423T023045Z
UID:WienGAGT/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/4/"
 >Limit pretrees for free group automorphisms</a>\nby Jean Pierre Mutanguha
  (IAS) as part of Vienna Geometry and Analysis on Groups Seminar\n\n\nAbst
 ract\nFree group automorphisms seem to share a lot with surface homeomorph
 isms. While tools for studying mapping class groups do not always have cou
 nterparts in the free group setting\, it has nevertheless been extremely f
 ruitful to mimic these tools as much as we can. This talk will describe ou
 r attempt to develop one important missing analogue. Nielsen--Thurston the
 ory gives a canonical representation of a surface homeomorphism's isotopy 
 class. Currently\, no such canonical representation of free group outer au
 tomorphisms exists. \n\nIn the introductory talk\, I will describe the Nie
 lsen--Thurston theory in some detail and outline the proof of this canonic
 al representation. For the research talk\, I will discuss the main obstacl
 es to carrying out the same argument with free group automorphisms. Fortun
 ately\, it appears these obstacles are surmountable and I will discuss som
 e partial results in this direction.\n
LOCATION:https://researchseminars.org/talk/WienGAGT/4/
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