(Non-)Vanishing of high-dimensional group cohomology
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912640632094720 |
|---|---|
| author | Brück, Benjamin |
| author_facet | Brück, Benjamin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15026 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | (Non-)Vanishing of high-dimensional group cohomology Brück, Benjamin Group Theory Algebraic Topology Number Theory Primary 57M07, Secondary 11F75, 20F28, 57K20 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. |
| title | (Non-)Vanishing of high-dimensional group cohomology |
| topic | Group Theory Algebraic Topology Number Theory Primary 57M07, Secondary 11F75, 20F28, 57K20 |
| url | https://arxiv.org/abs/2404.15026 |