This follow-up workshop will explore the recent advances in discrete integrable systems since the half-year programme in 2009. Discrete equations are more fundamental and richer than their differential counterparts. The theory of discrete integrable systems draws on, and contributes to, methods from many diverse areas of mathematics including algebraic geometry, complex analysis, differential geometry, graph theory, orthogonal polynomials, random matrix theory, Riemann-Hilbert problems, special functions, spectral theory and tropical geometry. Furthermore it has inspired work on discrete versions of complex analysis and discrete "differential" geometry.
A key aspect of the meeting will be to explore connections between the ever-growing number of approaches to this exciting and expanding area.