Automaton groups and square complexes (Ievgen Bondarenko, University of Kyiv)

21.03.2017 10:30

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. 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.


Room 623, Séminaire "Groupes et Géométrie"

Organisé par

Section de mathématiques


Ievgen Bondarenko, University of Kyiv

entrée libre


Catégorie: Séminaire