# Extremal cases of Rapoport-Zink spaces

## Extremal cases of Rapoport-Zink spaces - Michael Rapoport

Michael Rapoport
Universit&auml;t Bonn, University of Maryland
October 10, 2019

This talk is about qualitative properties of the underlying scheme of Rapoport-Zink formal moduli spaces of p-divisible groups, resp. Shtukas. We single out those cases when the dimension of this underlying scheme is zero, resp. those where the dimension is maximal possible. The model case for the first alternative is the Lubin-Tate moduli space, and the model case for the second alternative is the Drinfeld moduli space. We exhibit a complete list in both cases.