EVENT DETAILS AND ABSTRACT

Title: Automaton groups and square complexes
Speaker: I. Bondarenko
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Abstract:

Any automaton-transducer with the same input and output alphabets gives rise to a square complex: one can take a unit square with labeled and oriented edges for each arrow in automaton and glue these squares to get a complex. Transitions in automaton correspond to relations in the fundamental group of the associated square complex. In this talk, based on a joint work with Bohdan Kivva, I will discuss the connection between groups generated by automata, tiling properties of associated collection of squares, and residual properties of the fundamental groups of these square complexes.