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Mathematics > Group Theory

Title: (Non-)Vanishing of high-dimensional group cohomology

Authors: Benjamin Brück
(Submitted on 23 Apr 2024)
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.
Comments: 18 pages, 5 figures; contribution to the proceedings of the conference Model theory and groups 2023
Subjects: Group Theory (math.GR); Algebraic Topology (math.AT); Number Theory (math.NT)
MSC classes: Primary 57M07, Secondary 11F75, 20F28, 57K20
Cite as: arXiv:2404.15026 [math.GR]
  (or arXiv:2404.15026v1 [math.GR] for this version)

Submission history

From: Benjamin Brück [view email]
[v1] Tue, 23 Apr 2024 13:32:52 GMT (598kb,D)
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