Colloquium: Tuesday, June 4, 2019. Speaker: Emily Stark (Technion). Title: “The geometry of hyperbolic groups”.
Place: Room 614 in the Education & Sciences Building
Hyperbolic manifolds play an important role in geometry and topology, and in the 1980s Gromov introduced a notion of large-scale negative curvature that is strong enough to capture many salient features of these manifolds, yet broad enough to apply in a more coarse setting. In this talk, I will discuss groups that have negative curvature in the sense of Gromov. Viewing finitely generated groups as geometric objects offers a powerful perspective because groups that have a similar large-scale geometry often share common algebraic structure. I will present examples that arise naturally in low-dimensional topology, such as surface amalgams and free-by-cyclic groups, which includes joint work with Yael Algom-Kfir, Arnaud Hilion, and Daniel Woodhouse.
Tea will be served before the talk (at 13:50).