Nathalie Aubrun: "The Domino Problem is undecidable on surface groups"

mercredi 19 déc. 2018, 14:00 → 15:00 Europe/Paris

435 (UMPA)

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.