q-rationals and dimers

par Valentin Ovsienko (Reims)

vendredi 5 déc. 2025, 14:00 → 15:00 Europe/Paris

Fokko du Cloux (Bat. Braconnier)

The notion of q-deformed rational numbers was introduced in our work with Sophie Morier-Genoud. I will explain the relationships between q-rationals and the theory of dimer models. I will also discuss a natural q-deformation of the classical Markov numbers.

 

The talk will be elementary and accessible to everyone. It is based on two recent preprints, arXiv:2507.19080 (jointly with Sam Evans, Sophie Morier-Genoud, and Perrine Jouteur) and arXiv:2510.16270.