Banach Fixed Point Properties of Universal Lattices and Steinberg Groups

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• Izhar Oppenheim (Ben-Gurion University)
• Wednesday 08 October 2025, 09:15-10:15
• Seminar Room 1, Newton Institute.

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OGGW03 - Spectral gaps

Higher-rank universal lattices and Steinberg groups over Z[t_1,…,t_m] can be viewed as generalizations of higher-rank algebraic lattices. In this lecture, I will discuss results showing that these groups possess the fixed point property for all affine isometric actions on uniformly convex Banach spaces. This result provides a far-reaching extension of my earlier work on Banach property (T) for SL(n,Z) that was later generalized by de Laat and de la Salle for all higher rank algebraic lattices.

This talk is part of the Isaac Newton Institute Seminar Series series.

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