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A workshop will take place in the Mathematical Institute, Toulouse, on 20-24 January 2014 (arrival Sunday 19th). Its focus is on holomorphic and symbolic dynamics, and their relation to group theory.

Its purpose is to encourage contact and collaboration between these related fields; in particular, growing out of holomorphic dynamics,
  • Viewing holomorphic dynamical systems (iteration of a 1-dimensional rational map, Hénon maps, ...) as topological objects;
  • Encoding their attractors via symbolic dynamics, as quotients or subsets of shift spaces;
  • Describing the parameter spaces of such dynamical systems topologically and combinatorially;
  • Using monodromy representations to tie these concepts together and with group theory.
From the perspective of symbolic dynamics, described via subshifts, tilings, substitutions, etc., holomorphic dynamics may provide useful models of these phenomena, and group actions yield interesting constructions.

Finally, from the perspective of geometric group theory, in particular self-similar groups, the theory of Nekrashevych yields topological dynamical systems that serve as useful tools to describe and study the groups.

The conference format and schedule will be published later. People interested in participating are welcome to contact us at <toulousedynamics@gmail.com>. Some funding is available to support students and young researchers.

The scientific committee is comprised of Laurent Bartholdi, Xavier Bressaud, Xavier Buff and Peter Haissinsky. The organizers may be contacted at <toulousedynamics@gmail.com>

The conference is supported by CIMI, ANRIUF and CRCG.
IAIMT
CIMI