Dr. Yuancheng Xie, Peking University

Xiangke Chang，Associate Professor

Rational solutions of KP and BKP hierarchies through Toda lattice

14:00-15:00 December 12(Monday), Tencent Meeting ID: 943-607-047

The full Kostant-Toda lattice defined on simple Lie algebras can be viewed as  finite version of KP type hierarchies. In this talk I will show you how to explicitly construct (all) rational solutions of KP and BKP hierarchies through Toda lattice. I will also provide a general construction for rational solutions of the Gel'fand-Dickey hierarchies. Part of this talk is based on joint work with Y. Kodama.