Esmeralda Sousa Dias
CAMGSD and IST Universidade de Lisboa

Abstract: Cluster maps are birational maps which preserve a certain presymplectic form. Often, there exist nontrivial Poisson structures for which these maps are Poisson maps. The existence of such Poisson structures lead to foliations of domain of the cluster map and to several "reduced" maps. I will explain how the existence of such Poisson structures enables to understand not only the geometric organization of the dynamics of some cluster maps but also lead to a complete description of their dynamics.

This talk is based on the work arXiv:1607.03664 with Inês Cruz and Helena Mena Matos (CMUP, U. Porto)

This seminar is supported by National Funding from FCT - Fundação para a Ciência e a Tecnologia, under the project: UID/MAT/04561/2013.