XXVI International Fall Workshop on Geometry and Physics

Braga, 4-7 September 2017

The maps arising from mutation-periodic quivers are birational maps whose iterates define a discrete dynamical system. These maps always preserve a presymplectic form (defined by the quiver) and, in certain cases, they are also Poisson maps with respect to distinct Poisson structures of quadratic type. Several aspects of the interplay between these geometric structures will be addressed as well as the respective consequences to the dynamics of such maps.