Abstract: A Dieudonne module is a module over the ring of Witt vectors over some field k with two endomorphisms Frobenius F and Verschiebung V that satisfy certain relations. The category of formal groups over a perfect field k is equivalent to the category of finitely generated Dieudonné module under some mild condition, so the classification of formal groups reduces to the classification of such modules. In this talk, I will introduce the construction of Dieudonné modules and compute some Dieudonné modules associated with various formal groups.
