Palazzo della Carovana, Aula Russo.<\/p>\n\n\n\n
Amenable groups are small from a large-scale geometric point of view. If a space can be covered by a few subsets with an amenable fundamental group, there are strong vanishing results for several invariants: simplicial volume, $L^2$-Betti numbers, and homology growth. We study the minimal number of such subsets needed to cover a space, the so-called amenable category. In the talk, we focus on aspherical spaces and compute this number for right-angled Artin groups. <\/p>\n","protected":false},"excerpt":{"rendered":"
Amenable groups are small from a large scale geometric point of view. If a space can be covered by few subsets with amenable fundamental group, there are strong vanishing results for several invariants…<\/p>\n