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Explore the fundamentals of Lie groupoids and algebroids in this lecture by Maria Amelia Salazar Pinzon, Assistant Professor at the Departamento de Matematica Aplicada of the Universidade Federal Fluminense, Brazil. Discover how these versatile mathematical structures describe various geometric concepts, from foliations and group actions to Poisson bivectors and generalized complex structures. Gain insights into the intuitive understanding of Lie groupoids and algebroids as finite-dimensional geometric objects encoding infinite-dimensional Lie groups and Lie algebras. Follow along as the speaker provides a gentle introduction to the Lie theory of these objects, illustrating definitions and properties through examples. If time permits, learn about fundamental questions for Lie groupoids and algebroids that parallel those of finite-dimensional Lie groups and Lie algebras.
