Thesis Defense
Christopher Perez
University of Illinois at Chicago
Towers and Elementary Embeddings in Toral Relatively Hyperbolic Groups
Abstract: In a remarkable series of papers, Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers. It was later proved by Chloé Perin that if $H$ is an elementarily embedded subgroup (or elementary submodel) of a torsion-free hyperbolic group $G$, then $G$ is a tower over $H$. In this talk we will show a generalization of Perin's results to toral relatively hyperbolic groups.
https://uic.zoom.us/j/97863987139?pwd=UlRRVHBqVFhqV2ZzN2RKbEE0aHpTUT09
Monday July 6, 2020 at 11:00 AM in Zoom