Report Title：Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras

Reporter： ,  Autonomous University of Barcelona

Report Time:March 12, 2026, 15:00-17:00

Report Location:Zoom Id: 904 645 6677，Password: 2026

Meeting ID: 

Abstract:I will introduce symmetric Poisson geometry, the study of symmetric bivector fields on a manifold. I will first discuss their integrability condition, then move to their geometric interpretation, which features totally geodesic foliations, and finally discuss some interesting examples, including their connection to Jacobi-Jordan algebras. This is joint work with Filip Moucka, available on arXiv2508.15890.

           Bio:Roberto Rubio is a Ramón y Cajal researcher at the Autonomous University of Barcelona and the PI of the research grants . He first worked on Higgs bundles (PhD, ICMAT 2012) and then developed generalized geometry of type Bn (PhD, Oxford 2015). He has been a postdoctoral fellow at IMPA, where he worked on Dirac structures, and the Weizmann Institute of Science, where he worked on Gelfand pairs, as well as a Marie Skłodowska-Curie Individual Fellow. He is an expert on generalized geometry and Courant algebroids, with a special focus on the development and study of new geometrical frameworks.