Speaker
Jean-Marc Schlenker
(Université du Luxembourg)
Description
Convex co-compact hyperbolic manifolds contain a smallest non-empty
geodesically convex subset, called their convex core. The "pleating" of
the boundary of this convex core is recorded by a measured lamination,
called the bending lamination, and Thurston conjectured that convex
co-compact hyperbolic 3-manifolds are uniquely determined by their
bending lamination. We will describe a proof of this conjecture (joint
with Bruno Dular) and then explain how the statement is part of a
broader picture concerning convex domains in hyperbolic manifolds.