XXXV Workshop on Geometric Methods in Physics | 26.06-2.07.2016 |

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## Wen-Xiu Ma## Soliton hierarchies and matrix loop algebrasWe will talk about the zero curvature formulation for soliton hierarchies associated with matrix spectral problems. Liouville integrability will be shown by establishing Hamiltonian structures through either the trace identity or the variational identity over matrix loop algebras. Illustrative examples are generated from matrix spectral problems formulated using the two real three dimensional Lie algebras, sl(2,R) and so(3,R). |

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