Advances in Poisson Geometry

Mario Garcia-Fernandez is a permanent researcher (Científico Titular) at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid., from January 2024.David Iglesias Ponte is professor in Geometry and Topology at the University of La Laguna since 2019.Eva Miranda is a Full Professor in Geometry and Topology at UPC and CRM-Barcelona, Alexander Von Humboldt Friedrich Wilhelm Bessel professor at Mathematisches Institut der Universität zu Köln.Cédric Oms is currently a Post-doc at the BCAM in Bilbao, Spain.Roberto Rubio is a Ramón y Cajal fellow at the Department of Mathematics of the Universitat Autónoma de Barcelona since July 2022.

• - Part I: Introduction to Poisson Geometry.- 1. A brief Introduction to Poisson Geometry.- Part II: Wonderful Varieties.- 2. Wonderful Varieties with a View Towards Poisson Geometry.- Part III: An Invitation to Singular Foliations.- 3. What is a singular foliation?.- 4. Canonical geometric and algebraic structures hidden behind a singular foliation.- 5. State of the Art and open questions.