Séminaire d'équipe(s) Graphs, ALgorithms and Combinatorics

The Domino Problem is undecidable on surface groups
Nathalie Aubrun

27 September 2019, 14:30 Salle/Bat : 445/PCRI-N
Contact :

Activités de recherche : Combinatorics

Résumé :

The domino problem for a finitely generated group asks whether
there exists an algorithm which takes as input a finite alphabet and
finitely many Wang tiles, and decides whether there exists a tiling of
the group by this set of tiles. I will survey known results and present
the domino problem conjecture: finitely generated groups with decidable
domino problem are exactly virtually free groups. Then I will explain
why this problem is undecidable on surface groups. Joint work with
Sebastián Barbieri and Etienne Moutot.