Séminaire de Géométrie
Flexibility and degeneracy around a theorem of ThurstonAlex Nolte (IHES)
Friday 23 October 2026 13:30 - Tours - 1180 (Bât. E2)
Résumé :
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.
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