| Workshop: Quasi-flats of intermediate dimension in higher rank- Date: 21.09.2026 - 23.09.2026
- Location: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, Leipzig (Germany)
- Organized by: Max Riestenberg, Stephan Stadler, Anna Wienhard
- More information: See the homepage of the Workshop
- Contact: Antje Vandenberg
This working workshop, hosted by the Max Planck Institute for Mathematics in the Sciences (Leipzig), will bring together researchers interested in the geometry of symmetric spaces of higher rank and Euclidean buildings.
We will focus on questions regarding the flexibility and rigidity properties of quasi-isometrically embedded flats and connections to discrete subgroups of Lie groups.
Here on the one hand top-dimensional quasi-flats are controlled by Mostow-Morse theory, and on the other hand uniformly regular quasigeodesics are controlled by the higher rank Morse lemma appearing in certain characterizations of Anosov subgroups.
Topics include:
Anosov subgroups and the higher rank Morse lemma for uniformly regular quasigeodesics, (Guichard-Guéritaud-Kassel-Wienhard, Kapovich-Leeb-Porti, Bochi-Potrie-Sambarino)
Convex cocompact subgroups in higher rank (Kleiner-Leeb, Quint, Danciger-Gueritaud-Kassel)
Morse quasi-flats in CAT(0) spaces (Kleiner-Leeb, Eskin-Farb, Huang-Kleiner-Stadler) and Mostow's rigidity theorem in higher rank
Quasi-isometric embeddings of symmetric spaces (Fisher-Whyte, Nguyen)
There will be a few talks, and ample time for discussion and collaboration.
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