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SUMMARY:Christopher Perez (University of Illinois at Chicago)
DTSTART:20200606T192000Z
DTEND:20200606T194000Z
DTSTAMP:20260423T022735Z
UID:GOATS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOATS/7/">To
 wers and Elementary Embeddings in Toral Relatively Hyperbolic Groups</a>\n
 by Christopher Perez (University of Illinois at Chicago) as part of GOATS\
 n\n\nAbstract\nA group $G$ is a *tower* over a subgroup $H$ if $H$ can be 
 obtained from $G$ via a series of retractions in a nice and very geometric
  way. \n    In 2011\, Chloé Perin proved that if $H$ is an elementarily e
 mbedded subgroup of a torsion-free hyperbolic group $G$ (also known as an 
 elementary submodel)\, then $G$ is a tower over $H$. \n\n    The implicati
 on of this and similar results is that the geometric structures of certain
  groups capture their logical structures as well. \n    I will be discussi
 ng towers and my recent generalization of Perin’s result to toral relati
 vely hyperbolic groups.\n
LOCATION:https://researchseminars.org/talk/GOATS/7/
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