Seminari del Dipartimento di Matematica

Seminario del 2024

Bounded cohomology of groups and amenability

nell'ambito della serie: LOGIC, CATEGORIES, AND APPLICATIONS SEMINAR

algebra e geometria

interdisciplinare

logica

teoria delle categorie

Bounded cohomology of groups is a variant of group cohomology that, given a group and a Banach coefficient module over such group, gives graded semi-normed vector spaces. A major role in the theory of bounded cohomology is played by amenable groups and amenable actions as they provide vanishing conditions for bounded cohomology. The goal of this talk is to introduce bounded cohomology of groups and look into its realtion with amenability.