67
Conferences
false
[["minutes", "Minutes"], ["notes", "Notes"], ["paper", "Paper"], ["poster", "Poster"], ["slides", "Slides"], ["summary", "Summary"]]
University of Warsaw
krolb@fuw.edu.pl
307
SIDE14@fuw.edu.pl,maciejun@fuw.edu.pl,aszer@fuw.edu.pl
SIDE 14.2
SIDE 14.2 is the fourteenth in a series of biennial conferences dedicated to Symmetries and
Integrability of Difference Equations, and in particular to: ordinary and partial difference equations,
analytic difference equations, orthogonal polynomials and special functions, symmetries and
reductions, discrete differential geometry, integrable discrete systems on graphs, integrable
dynamical mappings, (discrete) PainlevĂ© equations, integrability criteria, Yang-Baxter type
equations, cluster algebras, difference Galois theory, quantum mappings, quantum field theory on
space-time lattices, representation theory, combinatorics, numerical models of differential
equations, discrete stochastic models and other related topics.
False
Faculty of Physics, University of Warsaw
Pasteura 5, Warsaw
Lecture hall: 0.06
2023-06-19T08:00:00
2023-06-23T18:10:00
2022-10-24T15:25:45
2023-06-19T02:50:33
Europe/Warsaw
Faculty of Physics, University of Warsaw
maciejun@fuw.edu.pl
University of Warsaw
aszer@fuw.edu.pl
41
false
[["minutes", "Minutes"], ["notes", "Notes"], ["paper", "Paper"], ["poster", "Poster"], ["slides", "Slides"], ["summary", "Summary"]]
The principle of transfer and integrable discrete systems.
Mr.
NA
james.l.atkinson@gmail.com
Mr.
NA
james.l.atkinson@gmail.com
Faculty of Physics, University of Warsaw
Pasteura 5, Warsaw
Lecture hall: 0.06
2023-06-19T10:30:00
2023-06-19T11:00:00
00:30
There is Hesse's principle of transfer: the transfer of geometric assertions from one dimension into another, facilitated by the fact that the projective subgroup stabilising a normal curve is isomorphic in every dimension. When space is coordinatised via a normal curve, geometric assertions become SL2-invariant equations, as opposed to homogeneous equations if a simplex is used. Although examples of KP, KdV and Painleve type are unified in this way, the relation should not be confused with dimensional reduction via integrable constraints, which places the systems, and the dimensions, into a hierarchy. Rather it is a path to understand the invariant geometric origin of the integrability. I will explain the integrable multi-quadratic quad-equations from this geometric point of view.