Centre International de Mathématiques Pures et Appliquées


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Accueil > Écoles de recherche > Ecoles de recherche 2015 > Liste chronologique des écoles de recherche 2015 > Tilings and Tessellations

Tilings and Tessellations

English Version

CIMPA-IRAN research school

Isfahan, August 24-September 4, 2015

Report by Amir Hashemi & Thomas Fernique

Report by Jorge Jimenez

This is a 10-days school of mathematics & theoretical computer science for students from Iran and neighbor countries. It is devoted to mathematical aspects of tilings in the various contexts where they appear, with an effort to achieve coherence of the program :

  • discrete geometry (models of discrete surfaces)
  • computability (local constraints on the way tiles can fit model transportation of information, similarly to the local rules of cellular automata)
  • probability (convergence of stochastic processes on tilings, in particular random sampling, and typical properties of random tilings)
  • combinatorics (counting the number of ways a region can be tiled)
  • symbolic dynamics (coding trajectories of minimal non-periodic dynamical systems)
  • effective algebraic geometry (use of Groebner basis to check tileability of a region or existence of a characterization by local patterns)

In addition to these “classical” themes, there will be satellite lectures related to the rich historical heritage of Isfahan (and more generally the islamic world), where tilings with quasicrystalline symmetries can often be found on architectural buildings. The Isfahan Mathematics House has already organized workshops on such thematics.

Administrative and scientific coordinators

- Thomas Fernique, University Paris 13, thomas.fernique@lipn.univ-paris13.fr
- Amir Hashemi, Isfahan University of Technology, amir.hashemi@cc.iut.ac.ir

Scientific Committee

  • Béatrice De Tillière, University Paris 6
  • Thomas Fernique, University Paris 13
  • Chaim Goodmann-Strauss, professor, University of Arkansas
  • Amir Hashemi, Isfahan University of Technology
  • Ali Rejali, Isfahan University of Technology & Isfahan Mathematics House

Local Organizing Committee

  • Thomas Fernique, University Paris 13
  • Amir Hashemi, Isfahan University of Technology
  • Ramin Javadi, Isfahan University of Technology
  • Behnaz Omoomi, Isfahan University of Technology
  • Ali Rejali, Isfahan University of Technology & Isfahan Mathematics House

Scientific Program

  • Frédérique Bassino (France) : Enumeration and tilings
  • Nicolas Bédaride (France) : Symbolic dynamics
  • Cédric Boutillier (France)
  • Olivier Bodini (France) : Effective algebraic geometry and tilings
  • Jay Bonner (USA) : Tilings in contemporary architecture
  • Jean-Marc Castera (France) : Tilings in contemporary architecture
  • Thomas Fernique (France) : Order and symmetry of tillings
  • Meghdad Ghari (Iran) : Tilings and mathematical teaching
  • Amir Hashemi (Iran) : Effective algebraic geometry and tilings
  • Jan P. Hogendijk (Nederland) : Tilings in historical architecture
  • Craig Kaplan (Canada) : Tilings in computer graphics and Islamic art
  • Emil Makovicky (Denmark) : Tilings in historical architecture
  • Damien Regnault (France) : Flip dynamics
  • Ali Rejali (Iran) : Tilings and mathematical teaching
  • Eric Rémila (France) : Self-assembly
  • Chaim Goodman-Strauss (USA) : Substitutive tilings
  • Mohammad Taghi Tavassoli (Iran) : Tilings in physics
  • Guillaume Theyssier (France) : Cellular automata : a paradigm of complexity
  • Béatrice de Tillière (France) : The dimer model in statistical mechanics
  • Akbar Zamani (Iran) : Tilings and mathematical teaching

Deadline for registration

April 19, 2015

Application procedure only for applicants not from Iran.

Applicants from Iran must contact local organizer : Amir Hashemi, Isfahan University of Technology, amir.hashemi@cc.iut.ac.ir

Voir en ligne : Local web site