报告题目：Lax structure and tau function for large BKP hierarchy

报告人： 程纪鹏

工作单位： 中国矿业大学

报告时间：4月28日（周日）16:00-17:00

地点：实训楼1710

报告摘要：

We will report Lax structure and tau function for large BKP hierarchy, which is also known as Toda hierarchy of B type, or Hirota--Ohta--coupled KP hierarchy, or Pfaff lattice. Firstly, the large BKP hierarchy can be derived from fermionic BKP hierarchy by using a special bosonization, which is presented in the form of bilinear equation. Then from bilinear equation, the corresponding Lax equation is given, where in particular the relation of flow generator with Lax operator is obtained. Also starting from Lax equation, the corresponding bilinear equation and existence of tau function are discussed. After that, large BKP hierarchy is viewed as sub--hierarchy of modified Toda (mToda) hierarchy, also called two--component first modified KP hierarchy. Finally by using two basic Miura transformations from mToda to Toda, we understand two typical relations between large BKP tau function and Toda tau function.

报告人简介：程纪鹏，中国矿业大学数学学院教授，博士生导师，江苏高校＂青蓝工程＂优秀青年骨干教师。研究方向：数学物理与可积系统。目前在Adv Math, Int Math Res Not，Sci China Math，J Math Phys等期刊发表科研论文近60篇。主持在研国家自然科学基金面上项目一项。