The diverse Dieudonné theories have as their common goal the classification of formal groups and p-divisible groups. The most recent theory is Zink's theory of displays. A display over a ring R is a finitely generated projective module over the ring of Witt vectors, W(R), equipped with additional structures. Zink has shown that using this notion, more concrete than those previously defined, one can obtain a good theory and prove an equivalence theorem in great generality. I will give an overview of his theory as well as sketch several proofs.
|State||Published - Aug 2 2007|