2024 - T2 - WS3 - Actions of large groups, geometric structures, and the Zimmer program

Collection 2024 - T2 - WS3 - Actions of large groups, geometric structures, and the Zimmer program

Organizer(s) Brown, Aaron ; Fisher, David ; Melnick, Karin ; Pecastaing, Vincent
Date(s) 10/06/2024 - 14/06/2024
linked URL https://indico.math.cnrs.fr/event/9046/
12 16

Rigidity of some higher rank partially hyperbolic actions

By Sven Sandfeldt

Smooth rigidity of higher rank abelian and lattice actions with some hyperbolicity has been studied extensively. When the manifold is a nilmanifold, results by Rodriguez Hertz, Wang, and Brown, Rodriguez Hertz, Wang show that: If the action contains an Anosov diffeomorphism then the action is globally rigid. I will discuss rigidity of higher rank partially hyperbolic actions on nilmanifolds. In particular, I will discuss global rigidity of abelian and higher rank lattice actions that contain one fibered partially hyperbolic element.

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Citation data

  • DOI 10.57987/IHP.2024.T2.WS3.012
  • Cite this video Sandfeldt, Sven (13/06/2024). Rigidity of some higher rank partially hyperbolic actions. IHP. Audiovisual resource. DOI: 10.57987/IHP.2024.T2.WS3.012
  • URL https://dx.doi.org/10.57987/IHP.2024.T2.WS3.012

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