Colby Kelln, Cornell University
Event Date
2025-09-24
Event Time
02:30 pm ~ 03:30 pm
Event Location
Wachman 617
We give geometric conditions which imply that the space obtained by coning off the boundary components of a hyperbolic manifold $M$ is negatively curved. Moreover, we give explicit geometric conditions under which a locally convex subset of $M$ gives rise to a locally convex subset of the cone-off. Group-theoretically, we conclude that the fundamental group of the cone-off is hyperbolic of cohomological dimension $n$ and the $\pi_1$-image of the coned-off locally convex subset is a quasi-convex subgroup. This is joint work with Jason Manning.