18 jun 2025 -- 14:30
aula Seminari - Dipartimento di Matematica, Pisa
Abstract.
The generalized Lusternik-Schnirelmann category of a space is the minimal cardinality of open covers by subsets whose fundamental group is contained in a given family of groups. The goal of this talk is to present a combination theorem for generalized LS-categories of groups G in terms of the stabilizers of contractible CW-complex equipped with an action by G. This fact has applications to the geometric dimensions of groups and to the simplicial volume of manifolds obtained by gluing.