Seminario Al@Bicocca 19/12
Per il ciclo Al@Bicocca, giovedì 19/12/19 Federico W. Pasini (University of Western Ontario) terrà un seminario dal titolo
“THE BOUNDARY OF TDLC-GROUPS”
alle 14:30 in aula 3014 del Dipartimento di Matematica e Applicazioni.
Abstract: Geometric Group Theory is the branch of mathematics that aims at understanding the structural properties of a given group through the geometric properties of a space on which this group acts nicely. One of the most spectacular advance in this direction is the theory of (discrete) hyperbolic groups, i.e. groups acting nicely on a proper hyperbolic metric space, or equivalently groups whose Cayley graphs are hyperbolic. Among many other properties, a hyperbolic group admits a metrizable boundary, which turns out to provide a compactification of its Cayley graph(s). M. Bestvina and G. Mess showed a tight relationship between the cohomological properties of a hyperbolic group and of its boundary. In this talk we show that, coupling B. Kroen and R. Moeller's concept of rough Cayley graph with the rational discrete cohomology theory developed by I. Castellano and T. Weigel, Bestvina and Mess's result can be extended to totally disconnected locally compact groups. This is a joint work with Ilaria Castellano.
Locandina seminario con abstract