Topology Seminar
Alex WrightUniversity of Michigan
Spheres in the curve graph and linear connectivity of the Gromov boundary
Tuesday, April 16, 2024 - 2:55pm
Malott 206
For a vertex c and an integer radius r, the sphere S_r(c) is the induced graph on the set of vertices of distance r from c. We will show that spheres in the curve graph are typically connected, and discuss connectivity properties of the Gromov boundary. We will also explain the motivation and context for this work, touching tangentially on Cannon's conjecture and convex cocompactness.