Mini-workshops
- Mini-Workshop 1: Orthogonal polynomials, random matrix theory and integrable systems
- Mini-Workshop 2: Perturbative techniques for integrable systems
- Mini-Workshop 3: Integrable models of optical solitons
- Mini-Workshop 4: Discrete integrable systems and Yang-Baxter maps
MW4: Discrete Integrable Systems and Yang-Baxter maps
Coordinator: Alexander Veselov (Loughborough University)
Recently, there have been a substantial progress in our understanding of discrete integrable systems, along several lines. This includes, among other things: a geometric insight into the notion of integrability as multidimensional consistency, in particular integrability of Yang-Baxter maps; algebro-geometric criteria of integrability, like the algebraic entropy; interaction of integrability with the theory of cluster algebras and related mathematical structures; quantization of the basic structures of discrete differential geometry. The miniworkshop aims at highlighting some of these achievements.
Review lecture:
| Alexander Veselov | Yang-Baxter maps and integrability. |
| [abstract] [presentation (PDF 755K)] |
| Matteo Petrera | Bilinear discretization of quadratic vector fields |
| [abstract] [presentation (PDF 2Mb)] | |
| Anastasios Tongas | Yang-Baxter maps associated to integrable lattice equations |
| [abstract] [presentation (PDF 953K)] | |
| Takayuki Tsuchida | Time discretizations of integrable lattices: local equations of motion |
| [abstract] [presentation (PDF 92K)] | |
| Dmitry Zakharov | The discrete modified Novikov-Veselov hierarchy and discrete differential geometry |
| [abstract] [presentation (PDF 327K)] |