Profinite graphs and generic homomorphisms

Thursday, January 29, 2026 - 11:00 to 12:00

Zoom link: https://pitt.zoom.us/j/96207413067 
(meeting id 962 0741 3067)

Speaker Information
Wieslaw Kubis
Institute of Mathematics, Czech Academy of Sciences, Prague

Abstract or Additional Information

We shall discuss the graph-theoretic counterpart of the Cantor
set, extending some of the classical results, like countable dense
homogeneity. The generic graph structure on the Cantor set is actually
rather extreme: isolated edges and isolated vertices only; however
topological aspects deserve some attention. If time permits, we shall
also discuss the uncountable variant: a graph analogue of the Cech-Stone
remainder of omega.