Dr. Yuancheng Xie:Rational solutions of KP and BKP hierarchies through Toda lattice
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Yuancheng Xie,Peking University
Inviter:
常向科
Title:
Rational solutions of KP and BKP hierarchies through Toda lattice
Language:
Chinese
Time & Venue:
2022.12.12 14:00-15:00 腾讯会议:943-607-047
Abstract:
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.