Report Title：Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras
Reporter：Roberto Rubio , Autonomous University of Barcelona
Report Time:March 12, 2026, 15:00-17:00
Report Location:Zoom Id: 904 645 6677，Password: 2026
Meeting ID: ：
https://us06web.zoom.us/j/9046456677?pwd=CWu8WvANi9ohJh4OW91sTVqBM9zsOT.1&omn=86972689584
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 GENTLE and DÉCOLLAGE. 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.
