Zhenghao Rao, Rutgers University
Event Date
2025-10-29
Event Time
02:30 pm ~ 03:30 pm
Event Location
Wachman 617
Abstract: In 2009, Kahn and Markovic proved the Surface Subgroup Theorem, and they constructed a ubiquitous collection of $\pi_1$-injective immersed surfaces in closed hyperbolic 3-manifolds. Hamenstadt later showed that any cocompact lattice of some simple rank 1 Lie group other than $SO(2m,1)$ (for $m \geq 1$) has a surface subgroup. Recently, we constructed $\pi_1$-injective immersed surfaces in closed hyperbolic $2n$-manifolds, which addresses the cases missing from Hamenstadt's work. This is joint work with Jeremy Kahn.