Special Session 55: 

Toda systems and their symmetries

Chuanzhong Li
Ningbo University
Peoples Rep of China
Co-Author(s):    Na Wang, Chuanzhong Li
Abstract:
In this talk, we will introduce all kinds of Toda systems including original Toda, triangular Toda, Full-Kostant Toda, bigraded Toda, extended bigraded Toda, B and C type Toda and so on. The tau functions of these systems have a lot of interesting applications in physics. These Toda systems have some interesting symmetries and these symmetries have nice algebraic structures including Block algebra, quantum torus algebra and so on.