Flatmates and the bounded cohomology of algebraic groups
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_ | 1866910517394669568 |
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| author | Monod, Nicolas |
| author_facet | Monod, Nicolas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flatmates and the bounded cohomology of algebraic groups Monod, Nicolas Group Theory Algebraic Geometry Algebraic Topology 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. |
| title | Flatmates and the bounded cohomology of algebraic groups |
| topic | Group Theory Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2407.01709 |