The URS rigidity conjecture for higher-rank lattices

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Let Γ\Gamma be an irreducible higher-rank lattice, and let a URS mean a minimal subsystem of the space of subgroups of Γ\Gamma with the Chabauty topology. The URS rigidity conjecture. Every URS on Γ\Gamma is supported on a finite set. The source presents this as a topological analogue of IRS rigidity and gives no resolution status.

References

Primary source

Uri Bader and Roman Sauer, “Higher property T and below-rank phenomena of lattices”, arXiv:2511.20192 (2026).

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