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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/
39 80

Global topology of the space of d-pleated surfaces

By Tengren Zhang

Also appears in collection : 2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

The notion of a d-pleated surface is a higher rank generalization of (abstract) pleated surfaces in three dimensional hyperbolic space. We give a description of the global topology of the space of conjugacy classes of $d$-pleated surfaces. We also prove that every connected component of the character variety contains exactly one connected component of the space of $d$-pleated surfaces. This is joint work with Sara Maloni, Giuseppe Martone, and Filippo Mazzoli.

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Citation data

  • DOI 10.57987/IHP.2025.T2.WS2.016
  • Cite this video Zhang, Tengren (27/06/2025). Global topology of the space of d-pleated surfaces. IHP. Audiovisual resource. DOI: 10.57987/IHP.2025.T2.WS2.016
  • URL https://dx.doi.org/10.57987/IHP.2025.T2.WS2.016

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