The aim of this workshop is to gather researchers interested in various algebraic aspects of symbolic dynamics to share their point of view and present their latest results. This is a sequel to the special workshop held at the TCA conference in Aveiro in 2024 under the same title, that you can find here. This workshop is funded by the European Research Council (ERC) project DYNAMICS.

The interplay of symbolic dynamics with algebra unfolds in a variety of ways, reflecting the overall richness of the fields. This includes the study of dynamical invariants like dimension groups, associated with the space of invariant measures, or Schützenberger groups, associated with the structure of free profinite semigroups; structural work on automorphism groups of symbolic systems, which also relate to semigroup theory via the construction of Ellis semigroups; relationships with subgroups of the free group, for instance via the theory of codes; cohomological methods linked with cocycles and coboundary, often applied to the study of continuous eigenvalues of symbolic systems; various results exploring the relationship between automatic sequences and power series over finite fields; algebraic methods used in the study of specific systems, like interval exchanges or hypercubic billiards; or the study of symbolic systems, particularly of finite type, over general classes of groups.

More information: www.irif.fr/en/seminaires/algebraic-aspects-of-symbolic-dynamics-2026