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arXiv · 2404.15026

(Non-)Vanishing of high-dimensional group cohomology

Benjamin Brück
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Abstract

Church-Farb-Putman formulated stability and vanishing conjectures for the high-dimensional cohomology of $\operatorname{SL}_n(\mathbb{Z})$, surface mapping class groups and automorphism groups of free groups. This is a survey on the current status of these conjectures and their generalisations.

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Benjamin Brück. 2024-04-23. (Non-)Vanishing of high-dimensional group cohomology. https://arxiv.org/abs/2404.15026

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