A combination theorem for homological properties of groups
Kevin Li (Universität Regensburg)
- https://www.uni-giessen.de/de/fbz/fb07/fachgebiete/mathe/veranstaltungen/wissenschaftliche_veranstaltungen/oberseminar_algebra_geometrie_topologie/termine/2025_li
- A combination theorem for homological properties of groups
- 2025-04-29T16:00:00+02:00
- 2025-04-29T17:00:00+02:00
- Kevin Li (Universität Regensburg)
29.04.2025 von 16:00 bis 17:00 (Europe/Berlin / UTC200)
HS 111
I will present an axiomatic combination theorem that applies to several properties of groups, such as: finiteness properties, vanishing of $\ell2$-Betti numbers, vanishing of $\mathbb{F}_p$-homology growth, and the algebraic cheap rebuilding property. The latter implies vanishing of torsion homology growth and is satisfied by elementary amenable groups. Joint with Clara Löh, Marco Moraschini, Roman Sauer, and Matthias Uschold.