Euclidean Lines on Hyperbolic Manifolds

Explore the fascinating intersection of Euclidean and hyperbolic geometry in this 46-minute AMS Erdös Memorial Lecture delivered by Yale University's Hee Oh at the 2022 Virtual Joint Mathematics Meetings. Delve into concepts such as the halfspace model, Poisson disk model, and hyperbolic octagon as Oh discusses closed hyperbolic surfaces and manifolds. Examine rigidity theorems, topological dynamical systems, and unipotent elements while investigating frame bundles and infinite hyperbolic manifolds. Gain insights into the intriguing world of hyperbolic metaphors and their applications in mathematics.

Introduction
Title
Halfspace model
Poisson disk model
hyperbolic octagon
closed hyperbolic surface
rigidity theorem
topological dynamical system
unipotent elements
frame bundle
closed hyperbolic manifolds
infinite hyperbolic manifolds
closed hyperbolic surfaces
hyperbolic metaphors
hyperbolic manifolds