Flexibility and degeneracy around a theorem of Thurston

par Alex Nolte (IHES)

vendredi 23 oct. 2026, 13:30 → 14:30 Europe/Paris

1180 (Bât. E2) (Tours)

We will describe some curious stability phenomena that appear when comparing lengths of curves on different hyperbolic surfaces. In particular, we will explain how to construct sums of Fuchsian representations whose Benoist limit cones are finite-sided polyhedra, and the relationship of this construction to a theorem of Thurston. We will then conclude by discussing the estimates on lengths of curves in hyperbolic surfaces that we use to prove polyhedrality of our examples of limit cones.