Miquel dynamics on circle patterns (Sanjay Ramassamy, ENS Lyon)

11.12.2017 15:15

Circle patterns are one of the ways to uniformize graphs on surfaces, by embedding them in such a way that every face admits a circumcircle.
In this talk I will describe a discrete-time dynamical system on circle patterns with the combinatorics of the square grid. This dynamics, called Miquel dynamics, was introduced by Richard Kenyon as an attempt to find a connection between circle patterns and the dimer model. I will present some properties of this dynamics which suggest its integrability.

Partly joint work with Alexey Glutsyuk (ENS Lyon).

Lieu

Room 17, Séminaire "Mathématique Physique"

Organisé par

Section de mathématiques

Intervenants

Sanjay Ramassamy, ENS Lyon

entrée libre

Classement

Catégorie: Séminaire