Symmetry and Integrability of Difference Equations

Month: June 2008

Date: June 9--20

Name: Symmetry and Integrability of Difference Equations

Location: Université de Montréal, Québec, Canada.


Description

The field of symmetries and integrability of difference equations is a very dynamical one in which great progress has been made over the last 15 years or so. The key methods that have been developed in this area are based either on the inverse spectral approach or on the application of geometric and group theoretical techniques.

Topics

Specifically the topics to be covered are the following: (1) Discrete integrable and isomonodromic systems; (2) Discrete Painlevé equations; (3) Singularity confinement, algebraicentropy and Nevanlinna theory ; (4) Discrete differential geometry; (5) Special functions as solutions of difference or q-difference equations; (6) Integrability, symmetry and numerical methods; (7) Lie symmetries of difference systems; (8) Integrable chains. The most relevant applications of this field of scientific activity are to coding theory, image reconstruction and processing and visual tracking, starting from discrete and usually sparse data.

Information

e-mail: Benhima@crm.umontreal.ca; http://www.dms.umontreal.ca/~sms/.