Speaker: María Amelia Salazar Pinzón, Universidade Federal Fluminense

Time: 21:00-22:00 pm, Februray 16, 2023, GMT+8

Venue: Zoom Meeting ID: 904 645 6677 Password：2023
https://us02web.zoom.us/j/9046456677?pwd=UHErd3RJVzFsNzNnczFZYm9uYlV6QT09

Abstract:
The foundation of Lie theory is Lie's three theorems that provide a construction of the Lie algebra associated to any Lie group; the converses of Lie's theorems provide an integration, i.e. a mechanism for constructing a Lie group out of a Lie algebra. The Lie theory for groupoids and algebroids has many analogous results to those for Lie groups and Lie algebras,however, it differs in important respects: one of these aspects is that there are Lie algebroids which do not admit any integration by a Lie groupoid. In joint work with Cabrera and Marcut, we showed that the non-integrability issue can be overcome by considering local Lie groupoids instead. In this talk I will explain a construction of a local Lie groupoid integrating a given Lie algebroid and I will point out the similarities with the classical theory for Lie groups and Lie algebras.

Biography:

María Amelia is a professor at Departamento de Matemática Aplicada (GMA) of the Universidade Federal Fluminense (UFF), Brazil. The main research interests are Lie groupoids, Lie algebroids, Lie pseudogroups, geometry of PDE's, Poisson geometry, contact and symplectic geometry.

Source: SRMC