XXIX Workshop on Geometric Methods in Physics | 27.06-03.07.2010 |

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## Ian Marshall## Poisson reduction of the space of polygonsPoisson reductions are described with respect to two Poisson group actions on the space of twisted polygons in $\RR^n. I will will present examples for $n=2$ and $n=3$, amongst which are to be found the lattice Virasoro structure, the second Toda lattice structure and some extended Toda lattice structures. |

University of Bialystok |

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