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| The aim of this talk is to show some examples of simple Poisson manifolds which have some common features with symplectic manifolds (including the study of group actions). I will start presenting a Delzant theorem for toric b-symplectic manifolds (joint work with Victor Guillemin, Ana Rita Pires and Geoffrey Scott) taking the 2-dimensional case as starting point.
Time permitting, I will report on an ongoing project with Geoffrey Scott on generalizing the notion of b-symplectic manifold. This notion includes other Poisson manifolds which share good properties with b-symplectic manifolds and seem to have less topological constraints. |
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