URegina Topology and Geometry Seminar: Aidan Lindberg

Lie groupoids are generalizations of Lie groups which allow one to study a broad range of geometric problems in a uniform way. In this talk I will introduce Lie groupoids and Morita equivalences, and explain how these structures combine to form a 2-category. We will then study the automorphism 2-groups, called Picard 2-groups, of objects in this category. After introducing some basic holomorphic Poisson geometry, I will present some results concerning the Picard 2-groups of holomorphic symplectic groupoids integrating holomorphic Poisson manifolds.