The Ending Lamination Conjecture was one of the central problems in the theory of 3-manifolds and its resolution in the 2000s by Brock–Canary–Minsky stands as a milestone in the classification of hyperbolic 3-manifolds. The proof required a deep understanding of the space of ending laminations and combined a wide range of ideas and techniques, many of which continue to play a crucial role across current research areas.

In this reading seminar, we will study the topological properties of the space of ending laminations, following Gabai’s 2008 paper. Our third meeting will revisit the notion of lamination, foliation, and train track.