Rank rigidity via affine maps

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• David Lenze, Karlsruhe Institute of Technology
• Friday 23 May 2025, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Adrian Dawid.

Ballmann’s higher rank rigidity conjecture stands as a central problem in the study of CAT spaces. It asserts that locally compact, geodesically complete CAT spaces of higher rank admitting a geometric group action are isometric to one of three higher rank model geometries – Riemannian symmetric spaces, Euclidean buildings and metric products. In this talk, I will present recent results providing a novel characterization of these higher rank model geometries through the lens of affine maps. I will recall the necessary notions and will sketch the key ideas of the proof.

This talk is part of the Junior Geometry Seminar series.

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