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arXiv · 2412.13056

Profiniteness of higher rank volume

Holger Kammeyer·Steffen Kionke·Ralf Köhl
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Abstract

We show that the covolume of an irreducible lattice in a higher rank semisimple Lie group with the congruence subgroup property is determined by the profinite completion. Without relying on CSP, we additionally show that volume is a profinite invariant of octonionic hyperbolic congruence manifolds.

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Holger Kammeyer, Steffen Kionke, Ralf Köhl. 2024-12-17. Profiniteness of higher rank volume. https://arxiv.org/abs/2412.13056

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