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(Non-)Vanishing of high-dimensional group cohomology (2404.15026v2)
Published 23 Apr 2024 in math.GR, math.AT, and math.NT
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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