Q-Math Seminar
A graph theoretic model for Stone dynamical systems
Speaker: Laura Saenz Díez (UC3M-ICMAT)Date: Thursday, 12 November 2026 - 14:00Place: Room 2.2.D08, Universidad Carlos III de Madrid
Abstract:
We present a graph-theoretic model for dynamical systems (X, σ), where X is a second countable Stone space and σ is a k-tuple of (not necessarily commuting) homeomorphisms of X. More precisely, we show that such dynamical systems are in bijective correspondence with a class of coloured Bratteli graphs. We further provide a categorical framework for both classes of objects, describing this correspondence as an equivalence of categories. Finally, we characterize, in terms of the graph, when the k-tuple consists of pairwise commuting homeomorphisms.
This is joint work with Joan Bosa (UAB) and Joan Claramunt (UPC).
