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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/
6 80

Proper affine deformations of positive representations

By Neza Zager Korenjak

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

For every positive Anosov representation of a free group into $\mathrm{SO}(2n,2n-1)$, we define a family of cocycles giving rise to proper affine actions with the given linear part on $4n-1$--dimensional real affine space. Furthermore, we use higher-dimensional versions of Drumm's crooked planes to construct fundamental domains for these actions. This is joint work with Jean-Philippe Burelle.

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Citation data

  • DOI 10.57987/IHP.2025.T2.WS1.006
  • Cite this video Zager Korenjak, Neza (20/05/2025). Proper affine deformations of positive representations. IHP. Audiovisual resource. DOI: 10.57987/IHP.2025.T2.WS1.006
  • URL https://dx.doi.org/10.57987/IHP.2025.T2.WS1.006

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