Jul 6 2020

Thesis Defense: Towers and Elementary Embeddings in Toral Relatively Hyperbolic Groups, by Christopher Perez

July 6, 2020

11:00 AM - 11:50 AM

Location

Zoom

Address

Chicago, IL

Christopher Perez (University of Illinois at Chicago): Towers and Elementary Embeddings in Toral Relatively Hyperbolic Groups

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 ChloƩ 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

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Contact

Christopher Perez

Date posted

Jul 8, 2020

Date updated

Jul 8, 2020

Speakers

Christopher Perez | (University of Illinois at Chicago)