E-symplectic and almost regular Poisson manifolds

30.05.2025, 11:00  –  Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis

Alfonso Garmendia (Bonn)

Singular symplectic manifolds have been studied to model dynamical systems and classical mechanics for spaces with singularities. One particular example is for manifolds with boundary, the dynamics will be given by a seemingly not smooth symplectic form, but considering only vector fields tangent to the boundary this form is well defined and smooth, therefore this dynamical systems are given by a symplectic form only defined on the dual of an specific class of vector fields (the ones tangent to the boundary). Similarly one can consider symplectic forms on different classes of vector fields. We will consider in this talk classes coming from a singular foliation and compare with the structure that the symplectic form brings on the groupoid that integrates the foliation.