Renormalization, computation and visualization in Geometry, Number Theory and Dynamics
Renormalisation, programmation et visualisation en géométrie, théorie des nombres et dynamique

11 – 15 September 2023

Scientific Committee 
Comité scientifique 

Pierre Arnoux (Aix-Marseille Université)
Richard Evan Schwartz (Brown University)

Organizing Committee
Comité d’organisation

Jayadev Athreya (University of Washington)
Nicolas Bédaride (Aix-Marseille Université)
Vincent Delecroix (CNRS, Université de Bordeaux)
Edmund Harriss (University of Arkansas)
​Kate Stange (University of Colorado)

The workshop will focus on the computational and visualization aspects of renormalization, with an important component of the workshop being a Sage Days in which participants work to develop and optimize software that facilitates experiment and conjecture in geometry, dynamics, probability, and number theory.

There will be 2 hour problem sessions in the mornings focusing on the computational and experimental aspects of

• Geometry,
• Dynamics
• and Number Theory

There will also be a course taught by Samuel Lelievre and Thierry Monteil on the use of Sage, CoCalc, and Jupyter.



Thierry Coulbois (Aix-Marseille Université)  Free Groups and their automorphisms with Sage
Vincent Delecroix (CNRS, Université de Bordeaux)  Algorithms to guess and certify GL(2,R)-orbit closures in the moduli space of translation surface
Edmund Harriss (University of Arkansas)  Tools for mathematics illustration
Sébastien Labbé (Université de Bordeaux)   Talk 1: Rauzy induction of polygon partitions and toral Z 2 – rotations
Talk 2: Substitutive structure of Jeandel-Rao aperiodic tilings
Samuel Lelièvre (Université Paris-Saclay)   Sage
Thierry Monteil (CNRS, Université Sorbonne Paris Nord)   Sage
Michaël Rao (École normale supérieure de Lyon)  Semi decision procedure for tiling the plane
James Rickards (University of Colorado)  The not so local-global conjecture
Saul Schleimer (University of Warwick)   Solving the word problem for the mapping class group in quasi-linear time
Florent Tallerie (Université Grenoble Alpes)  Universal triangulation for flat tori
Monique Teillaud (INRIA Nancy – Grand Est,  LORIA)  Triangulations, CGAL, and hyperbolic surfaces