Rui Loja Fernandes

Normal Forms in Poisson Geometry and Lie Groupoid Theory

In these lectures I will discuss several linearization theorems and other normals forms results in Poisson geometry and Lie Groupoid Theory. This includes the Conn's Linearization Theorem, the Weinstein-Zung Linearization Theorem, and the Crainic-Marcut Rigidity Theorem. The focus will be on the new techniques used to prove these results, which are reshaping our view of those fields.