Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"

The full linearization functor enables studying graded bundles in a framework of multi-vector bundles. I will explain an unexpected relation between the linearization of graded bundles (of degree 2) and symplectic and metric double vector bundles discussed recently by Jotz Lean. This will be preceded by a gentle introduction to a beautiful theory of double vector bundles.