"SIDE - Symmetries and Integrability of Difference Equations"
is a series of biennial conferences devoted to the study of integrable difference equations and related topics, including the following

• ordinary and partial difference equations,
• analytic difference equations,
• symmetries and reductions,
• orthogonal polynomials and special functions,
• difference geometry,
• integrable discrete systems on graphs,
• integrable dynamical mappings,
• multidimensional consistency,
• discrete Painlevé equations,
• singularity confinement, algebraic entropy (growth of complexity),
• representations of affine Weyl groups,
• quantum mappings and quantum field theory on the space-time lattice,
  
  and more.

Next conference is SIDE10
It will be held in Xikou, Ningbo, near Shanghai
from June 10, 2012 (arrival day) to June 16, 2012 (departure day)
The conference web page is here.