# Joint IAS/Princeton University Number Theory Seminar

**Topic: **Extremal cases of Rapoport-Zink spaces

**Speaker: **Michael Rapoport

**Affiliation: **Universität Bonn, University of Maryland

**Date & Time: **Thursday October 10th, 2019, 4:30pm - 5:30pm

**Location: **Simonyi Hall 101

**Video:** https://video.ias.edu/numbertheory/2019/1010-MichaelRapoport

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.