Homomorphisms between multidimensional substitutive subshifts

Christopher Cabezas
(LAMFA, Amiens)

Date(s) : 02/12/2022   iCal
11 h 00 min - 12 h 00 min

Homomorphisms are topological factors between topological dynamical systems, up to GL(d,Z)-transformations, so they represent further symmetries in a topological dynamical system, such as rotations and reflections. While the automorphism group is the centralizer of the action group in the group of self-homeomorphisms in the phase space, the isomorphism group (invertible homomorphisms) is the normalizer of the action group. In this talk we will present some recent results about some rigidity properties of homomorphisms between odometer systems and substitutive subshifts generated by constant-shape substitutions. Constant-shape substitutions are a multidimensional generalization of constant-length substitutions, where any letter is assigned a pattern with the same shape.


FRUMAM, St Charles (3ème étage)


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