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2025 - T2 - Higher rank geometric structures

Collection 2025 - T2 - Higher rank geometric structures

Organizer(s) Bromberg, Kenneth ; Pozzetti, Maria Beatrice ; Sambarino, Andrès ; Tholozan, Nicolas
Date(s) 14/04/2025 - 11/07/2025
linked URL https://indico.math.cnrs.fr/event/11551/
11 80

On the length spectrum of random hyperbolic 3-manifolds

By Anna Roig Sanchis

Also appears in collection : 2025 - T2 - WS1 - Higher rank geometric structures, Higgs bundles and physics

We are interested in studying the behavior of geometric invariants of hyperbolic 3-manifolds as their complexity increases. A way to do so is by using probabilistic methods, that is, through the study of random manifolds. There are several models of random manifolds. In this talk, I will explain one of the principal probabilistic models for 3 dimensions and I will present a result concerning the length spectrum -the set of lengths of all closed geodesics- of a 3-manifold constructed under this model. If time allows, I will discuss in more detail an element in the spectrum with particular importance, the systole.

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Citation data

  • DOI 10.57987/IHP.2025.T2.WS1.011
  • Cite this video Roig Sanchis, Anna (22/05/2025). On the length spectrum of random hyperbolic 3-manifolds. IHP. Audiovisual resource. DOI: 10.57987/IHP.2025.T2.WS1.011
  • URL https://dx.doi.org/10.57987/IHP.2025.T2.WS1.011

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