报告题目：Symmetries of Differential-Difference Equations

报告人： Jingping Wang

工作单位： University of Kent, UK

报告时间：4月26日（周五）10:00-11:00

地点：实训楼1710

报告摘要：

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, the existence of infinite hierarchies of symmetries can be regarded as the definition of their integrability. We’ll present the recent classification result for scalar integrable differential-difference equations.

报告人简介：

Jingping Wang, 本科毕业于北京大学，博士毕业于荷兰鹿特丹大学, 现为英国肯特大学教授、博士生导师, 主要从事可积系统理论的研究工作, 在Commun. Math. Phys., Lett. Math. Phys.等期刊上发表多篇高质量SCI论文。