报告题目：on squared eigenfunction symmetries of discrete kp and mkp
报告人： 张大军 教授 上海大学
主持人： 傅蔚
报告时间：2019年6月25日 周二10:30-11:30
报告地点：中北校区数学馆东202
报告摘要：
we introduce a lax triad approach to construct the scalar differential-difference kadomtsev-petviashvili (kp) hierarchy from a quasi-difference operator. hamiltonian structures and symmetries of the hierarchy are discussed. the squared-eigenfunction symmetry of this hierarchy as a constraint leads the lax triad and adjoint lax triad of the hierarchy to a discretized akns spectral problem in bidirection and a semidiscrete akns hierarchy, which is known as the ragnisco-tu hierarchy. in a similar manner, it is shown that the squared-eigenfunction symmetry leads the modified differential-difference kp stuff to the relativistic toda systems. some new relations and reductions are found, including an one-field reduction to reduce the ragnisco-tu hierarchy to the volterra hierarchy, reduction of the relativistic toda hierarchy to the semi-discrete burgers hierarchy which provides bäcklund transformation of the burgers hierarchy, and a discrete 3-point burgers equation which is consistent around cube.
报告人简介：
张大军，上海大学数学系教授、博士生导师。主要研究领域为离散可积系统。先后主持（含完成）国家自然科学基金面上项目 5 项、教育部博士点基金 1 项、上海市项目 4 项。曾获上海市优秀博士学位论文、上海市高校优秀青年教师等。作为访问学者多次访问芬兰图尔库大学、英国利兹大学，以及澳大利亚悉尼大学等。