The study of geometric objects via groupoids appears in many branches of mathematics and physics.
Lie groupoids are an efficient tool in the analytic treatment of singular spaces in order to get a pseudodifferential calculus and index theory. In the context of quantization problems, the symplectic groupoid of a Poisson manifold witnesses very important developments in symplectic geometry in the broad sense. In these contexts lies the question of associating a suitable groupoid with a geometric situation. This is related to the problem of integrating (Lie) algebroids into (Lie or fiberwise Lie) groupoids. Parallel to this, complex manifolds endowed with holomorphic geometric structures are important models in theoretical physics. Their geometric features are interesting from many mathematical points of view.
This school will bring together mathematicians working on various aspects of groupoids in relation with foliations, singular spaces and their applications in order to offer a broad panorama of the techniques and problems encountered.
Official language of the school: English