Mathematics Seminar Series Week 8: Professor Jing Ping Wang

Join us for this week's Mathematics Essex Seminar, Autumn Term 2023. Our MESS talks are open to everyone, and offer a great opportunity to meet new people and join in with our community.

Professor Jing Ping Wang, University of Kent, will present this seminar on Symmetries of Differential--Difference Equations.

Abstract

In this talk, we’ll discuss symmetries of differential-difference equations (DDEs) and their applications. A DDE is a functional relation among functions and their derivatives calculated at several points of a lattice. Typical examples are Volterra chain and Toda lattice equations. A DDE may possess discrete symmetries, continuous point symmetries and Lie algebras of infinitesimal symmetries. Symmetry reductions enable one to study symmetry-invariant solutions of DDEs and link them with finite dimensional dynamical systems and Painleve equations. For integrable equations infinite hierarchies of symmetries can be constructed using Lax representations, recursion (Nijenhuis) operators or master symmetries. Integrable DDEs has natural connections with integrable partial differential equations. This talk is based on a short review paper with A.V. Mikhailov.

How to attend

The seminar will be held in STEM 3.1 at 15:00 on Thursday 23 November. It is open to everyone, including the general public. Please contact Dr Dmitry Savostyanov (d.savostyanov@essex.ac.uk) for further information.