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SUMMARY:The geometry of subgroups of free-by-cyclic groups - Marco Linton 
 (ICMAT)
DTSTART:20250813T100000Z
DTEND:20250813T110000Z
UID:TALK234952@talks.cam.ac.uk
DESCRIPTION:The well-known subgroup tameness theorem for hyperbolic 3-mani
 fold groups characterises precisely when a finitely generated subgroup is 
 quasi-convex. As a corollary\, one can obtain a characterisation of hyperb
 olic 3-manifold groups that are locally quasi-convex as those that do not 
 contain {compact surface}-by-cyclic subgroups. Although a version of the s
 ubgroup tameness theorem for the class of free-by-cyclic groups remains a 
 difficult open problem\, I will instead show that an analogous characteris
 ation of local quasi-convexity amongst free-by-cyclic groups does indeed h
 old. I will explain the ideas that go into the proof\, discuss a generalis
 ation to the relatively hyperbolic setting and mention some applications t
 o one-relator groups.
LOCATION:Seminar Room 2\, Newton Institute
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