Nonlinearity and Geometry - seminar
2017/2018 | 2018/2019 | 2019/2020 | 2020/2021 | 2021/2022 | 2022/2023 | 2023/2024 | 2024/2025
2023-06-21 (Wednesday)
room 0.06, Pasteura 5 at 15:00 
Prof. Claude M. Viallet (Centre Natonal de la Rechche Scientifique, Sorbonne)Features of discrete integrability (open talk of SIDE 14.2 conference)
Features of discrete integrability.
2023-06-19 (Monday)
room 0.06, Pasteura 5 at 09:30
Prof. Wolfgang Schief (University of New South Wales)Consistency of discrete equations on lattices of type D (openig talk of SIDE 14.2 conference)
Consistency of discrete equations on higher dimensional lattices constitutes a central element of integrable systems theory. The consistency of discrete equations defined on the squares and cubes of lattices of type B and the octahedra of lattices of type A have been studied extensively and with great success. However, it appears that the consistency of discrete equations naturally defined on lattices of type D or discrete equations which are defined on a larger number of vertices of a lattice has been explored to a significantly lesser degree. In this talk, we present some thoughts on this matter and illustrate them by considering linear and nonlinear (5-point) Laplace-type equations, a nonlinear 14-point equation and the 9-point (generalised) discrete Tzitzeica equation. Coincidentally, two Polish connections will be made.