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"

entrée libre