May 19 – 27, 2025
Institut Henri Poincaré
Europe/Paris timezone

Proper affine deformations of positive representations

May 20, 2025, 2:30 PM
1h
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Speaker

Neza Zager Korenjak (University of Michigan)

Description

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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