Room P3.10, Mathematics Building

Rui Loja Fernandes, Instituto Superior Técnico

Rigidity and flexibility in Poisson geometry

Rigidity and flexibility phenomena are well-known in symplectic geometry. In this talk, I will argue that similar phenomena appear in Poisson geometry, but are even harder to study. On a positive note, I will give criteria for stability of symplectic leaves of Poisson manifolds, which are analogous to criteria for stability of leaves of foliations and stability of orbits of group actions.