$q$-rationals and dimers

par Dr Valentin Ovsienko (CNRS, Reims)

vendredi 28 nov. 2025, 15:00 → 16:30 Europe/Paris

Salle Olga Ladyjenskaïa (IHP - Bâtiment Borel)

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.