Rigidity of some higher rank partially hyperbolic actions

By Sven Sandfeldt

Appears in collection : 2024 - T2 - WS3 - Actions of large groups, geometric structures, and the Zimmer program

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.

Information about the video

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


Last related questions on MathOverflow

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

Ask a question on MathOverflow


  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
  • Get notification updates
    for your favorite subjects
Give feedback