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arXiv · 2407.01709

Flatmates and the bounded cohomology of algebraic groups

Nicolas Monod
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Abstract

For all algebraic groups over non-Archimedean local fields, the bounded cohomology vanishes. This follows from the corresponding statement for automorphism groups of Bruhat--Tits buildings, which hinges on the solution to the flatmate conjecture raised in earlier work with Bucher. Vanishing and invariance theorems for arithmetic groups are derived.

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Nicolas Monod. 2024-07-01. Flatmates and the bounded cohomology of algebraic groups. https://arxiv.org/abs/2407.01709

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