(Non-)Vanishing of high-dimensional group cohomology

التفاصيل البيبلوغرافية
العنوان: (Non-)Vanishing of high-dimensional group cohomology
المؤلفون: Brück, Benjamin
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, Mathematics - Algebraic Topology, Mathematics - Number Theory, Primary 57M07, Secondary 11F75, 20F28, 57K20
الوصف: 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.
Comment: 18 pages, 5 figures; contribution to the proceedings of the conference Model theory and groups 2023; v2: updated references and corrected typos
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.15026
رقم الأكسشن: edsarx.2404.15026
قاعدة البيانات: arXiv