Topology Seminar (Introductory Talk): End invariants of infinite volume hyperbolic 3-manifolds

Seminar | August 28 | 2-3 p.m. | 740 Evans Hall

 James Farre, Yale University

 Department of Mathematics

I will discuss the structure of the ends of tame hyperbolic 3-manifolds and define the end invariants associated to a hyperbolic structure. I will then state Thurston’s Ending Lamination Conjecture, now a theorem of Minsky and Brock-Canary-Minsky. I will model the geometry of a thick degenerate 3-manifold on a certain metric bundle over a Teichmüller geodesic and hint at connections with the complex of curves.