Towers and Elementary Embeddings in Toral Relatively Hyperbolic Groups

Abstract: A 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. In 2011, Chloé Perin proved that if $H$ is an elementarily embedded subgroup of a torsion-free hyperbolic group $G$ (also known as an elementary submodel), then $G$ is a tower over $H$.

The implication of this and similar results is that the geometric structures of certain groups capture their logical structures as well. I will be discussing towers and my recent generalization of Perin’s result to toral relatively hyperbolic groups.

algebraic topologydifferential geometrygeneral topologygeometric topology

Audience: researchers in the discipline

GOATS

Series comments: Description: A series of online mini-conferences for graduate students in Geo

Conference will be on Zoom and simultaneously livestreamed to Youtube. Zoom link is obtained by registering on the website, the livestream link will be posted closer to conference date.