Immersed incompressible surfaces in hyperbolic manifolds

YMSC Topology Seminar

Organizers：

陈伟彦、高鸿灏、黄意、林剑锋、邱宇、孙巍峰

Speaker：

Zhenghao RAO 饶正昊, Rutgers

Time：

Tuesday, 16:30-17:30

Dec. 23, 2025

Venue：

C654, Shuangqing Complex Building A

Zoom meeting ID: 405 416 0815, PW: 111111

Title：

Immersed incompressible surfaces in hyperbolic manifolds

Abstract:

The study of surface subgroups in 3-manifolds has drawn sustained attention for decades, motivated both by their intrinsic geometric richness and by their broad consequences in geometric topology, geometric group theory, and dynamics. A landmark result is the Surface Subgroup Theorem of Kahn–Markovic, which asserts that every cocompact Kleinian group contains a closed surface subgroup. In this talk, we will survey key developments in the subject and highlight our recent progress, including joint work with Jeremy Kahn, and with Xiaolong Han and Jia Wan.