2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

Collection 2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

Organizer(s) Bromberg, Kenneth ; Haïssinsky, Peter ; Hamenstädt, Ursula ; Maloni, Sara ; Sambarino, Andrés ; Schapira, Barbara

Date(s) 23/06/2025 - 27/06/2025

linked URL https://indico.math.cnrs.fr/event/11570/

16 17

Global topology of the space of d-pleated surfaces

By Tengren Zhang

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.

Information about the video

Date of recording 27/06/2025
Date of publication 01/07/2025
Institution IHP
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Alexandre Duplessis
Format MP4
Venue IHP - Hermite Amphitheater

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

Domain(s)

Metric Geometry

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

published on June 30, 2025

The bending lamination conjecture for hyperbolic 3-manifolds

By Jean-Marc Schlenker

published on July 1, 2025

Selberg, Ihara and Berkovich

By Wenyu Pan

published on July 1, 2025

Anosov representations of cubulated hyperbolic groups

By Theodore Weisman

published on July 1, 2025

Geometry of hyperconvex representations of surface groups

By Gabriele Viaggi

published on July 1, 2025

Atoroidal Surface Bundles

By Autumn Kent

published on July 1, 2025

Hyperbolic and relatively hyperbolic groups with 2-sphere boundary

By Genevieve Walsh

published on July 1, 2025

The pressure metric on quasi-Fuchsian space

By Frieder Jäckel

published on July 1, 2025

Anosov representations of amalgams

By Konstantinos Tsouvalas

published on July 1, 2025

The shape of the limit cone for positive representations

By Jeffrey Danciger

published on July 1, 2025

Local minimization of fuzziness under high symmetry

By Franco Vargas Pallete

published on July 1, 2025

Geometrical finiteness in strictly convex projective geometry

By Pierre-Louis Blayac

published on July 1, 2025

Convex coaffine structures

By James Farre

published on July 1, 2025

Quasi isometry of free groups in SL3 (R)

By Rafael Potrie

published on July 1, 2025

Degenerations in convex projective geometry and non-archimedean ordered fields

By Anne Parreau

published on July 1, 2025

Epstein's construction and holography of Loewner energy and Schwarzian action

By Yilin Wang

published on July 1, 2025

Global topology of the space of d-pleated surfaces

By Tengren Zhang

published on July 1, 2025

Exotic maximal surface group representations into Diff(S1)

By Nicolas Tholozan

Copyright Carmin.tv 2025

Give feedback