Seminarium KMMF "Teoria Dwoistości"

We shall review the concept of a graded bundle as a natural generalisation of a vector bundle. One of the reasons we are interested in such geometry is that there are many examples of graded bundles that appear in the existing literature, but their graded structure is not always taken inot account. We start with a discussion of graded spaces, passing through graded bundles and their linearisation, to end with weighted (graded) Lie groupoids/algebroids.